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All questions of Fractions and Decimals for Class 5 Exam
Which of the following is the smallest decimal number?- a)0.4981
- b)0.52
- c)0.4891
- d)0.6
Correct answer is option 'C'. Can you explain this answer?
Which of the following is the smallest decimal number?
a)
0.4981
b)
0.52
c)
0.4891
d)
0.6
|
Chirag Datta answered |
The smallest decimal number is determined by the value of the digits after the decimal point. In this case, we are given four decimal numbers: 0.4981, 0.52, 0.4891, and 0.6. We need to determine which of these numbers has the smallest value after the decimal point.
To compare the numbers, we can look at the first digit after the decimal point in each number.
- In option a) 0.4981, the first digit after the decimal point is 4.
- In option b) 0.52, the first digit after the decimal point is 5.
- In option c) 0.4891, the first digit after the decimal point is 4.
- In option d) 0.6, the first digit after the decimal point is 6.
We can see that the smallest number is 0.4891, as it has the smallest digit (4) after the decimal point compared to the other options. Therefore, the correct answer is option C.
To summarize:
- Option a) 0.4981 has a first digit after the decimal point of 4.
- Option b) 0.52 has a first digit after the decimal point of 5.
- Option c) 0.4891 has a first digit after the decimal point of 4. This is the smallest decimal number among the given options.
- Option d) 0.6 has a first digit after the decimal point of 6.
To compare the numbers, we can look at the first digit after the decimal point in each number.
- In option a) 0.4981, the first digit after the decimal point is 4.
- In option b) 0.52, the first digit after the decimal point is 5.
- In option c) 0.4891, the first digit after the decimal point is 4.
- In option d) 0.6, the first digit after the decimal point is 6.
We can see that the smallest number is 0.4891, as it has the smallest digit (4) after the decimal point compared to the other options. Therefore, the correct answer is option C.
To summarize:
- Option a) 0.4981 has a first digit after the decimal point of 4.
- Option b) 0.52 has a first digit after the decimal point of 5.
- Option c) 0.4891 has a first digit after the decimal point of 4. This is the smallest decimal number among the given options.
- Option d) 0.6 has a first digit after the decimal point of 6.
Which of the following is equal to seven hundred five thousand and eighty-nine ten-thousandths?- a)700.005.089
- b)705,000.089
- c)705,000.0089
- d)705,000.00089
Correct answer is option 'C'. Can you explain this answer?
Which of the following is equal to seven hundred five thousand and eighty-nine ten-thousandths?
a)
700.005.089
b)
705,000.089
c)
705,000.0089
d)
705,000.00089
|
Nishanth Patel answered |
To understand which option is equal to seven hundred five thousand and eighty-nine ten-thousandths, let's break down the number.
The given number is: 705,000.0089
To understand this number, we need to understand the place value system. In the place value system, each digit's value depends on its position in the number.
Let's break down the number into its place values:
- Hundred thousands: 7 (700,000)
- Ten thousands: 0 (0)
- Thousands: 5 (5,000)
- Hundreds: 0 (0)
- Tens: 0 (0)
- Ones: 0 (0)
- Tenths: 0 (0)
- Hundredths: 0 (0)
- Thousandths: 8 (0.008)
- Ten-thousandths: 9 (0.0009)
The number can be written as 700,000 + 5,000 + 0 + 0 + 0 + 0 + 0 + 0.008 + 0.0009.
Simplifying this expression, we get 705,000.0089.
Option C, 705,000.0089, is the correct answer as it represents the given number correctly in terms of place value.
The given number is: 705,000.0089
To understand this number, we need to understand the place value system. In the place value system, each digit's value depends on its position in the number.
Let's break down the number into its place values:
- Hundred thousands: 7 (700,000)
- Ten thousands: 0 (0)
- Thousands: 5 (5,000)
- Hundreds: 0 (0)
- Tens: 0 (0)
- Ones: 0 (0)
- Tenths: 0 (0)
- Hundredths: 0 (0)
- Thousandths: 8 (0.008)
- Ten-thousandths: 9 (0.0009)
The number can be written as 700,000 + 5,000 + 0 + 0 + 0 + 0 + 0 + 0.008 + 0.0009.
Simplifying this expression, we get 705,000.0089.
Option C, 705,000.0089, is the correct answer as it represents the given number correctly in terms of place value.
Which of the following is equal to twenty-five and sixty-nine thousandths?- a)25.069
- b)25.0690
- c)25.06900
- d)All of the above
Correct answer is option 'D'. Can you explain this answer?
Which of the following is equal to twenty-five and sixty-nine thousandths?
a)
25.069
b)
25.0690
c)
25.06900
d)
All of the above
|
Juhi Kumar answered |
**Answer:**
To determine which of the given options is equal to twenty-five and sixty-nine thousandths, we need to compare the decimal representations of the numbers.
The given number, twenty-five and sixty-nine thousandths, can be written in decimal form as 25.069.
Let's compare this decimal representation with the options:
a) 25.069 - This option is equal to the given number, 25.069.
b) 25.0690 - This option is also equal to the given number, 25.069.
c) 25.06900 - This option is also equal to the given number, 25.069.
Since all three options, a), b), and c), are equal to the given number 25.069, the correct answer is option 'D', which states "All of the above".
Therefore, option 'D' is the correct answer.
To determine which of the given options is equal to twenty-five and sixty-nine thousandths, we need to compare the decimal representations of the numbers.
The given number, twenty-five and sixty-nine thousandths, can be written in decimal form as 25.069.
Let's compare this decimal representation with the options:
a) 25.069 - This option is equal to the given number, 25.069.
b) 25.0690 - This option is also equal to the given number, 25.069.
c) 25.06900 - This option is also equal to the given number, 25.069.
Since all three options, a), b), and c), are equal to the given number 25.069, the correct answer is option 'D', which states "All of the above".
Therefore, option 'D' is the correct answer.
Which of the following numbers has a 4 in the hundredths place?- a)413.26
- b)0.5649
- c)765.407
- d)87.349
Correct answer is option 'D'. Can you explain this answer?
Which of the following numbers has a 4 in the hundredths place?
a)
413.26
b)
0.5649
c)
765.407
d)
87.349
|
Anisha Iyer answered |
The lowest place value in the number is the ten-thousandths, but that’s not what the question is asking. The smallest digit in the number is 2, which is in the thousandths place: 489.6327
(0.1 + 0.01) (0.1 − 0.01) =- a)0.0001
- b)0.001
- c)0.009
- d)0.0099
Correct answer is option 'D'. Can you explain this answer?
(0.1 + 0.01) (0.1 − 0.01) =
a)
0.0001
b)
0.001
c)
0.009
d)
0.0099
|
|
Diya Mehta answered |
Apologies, but the information you provided seems to be incomplete. Could you please clarify your question or provide additional context?
The number 32747 written to 4 significant figures is- a)32740
- b)32750
- c)3274
- d)32752
Correct answer is option 'B'. Can you explain this answer?
The number 32747 written to 4 significant figures is
a)
32740
b)
32750
c)
3274
d)
32752
|
|
Madhavan Joshi answered |
Explanation:
Significant figures are the digits in a number that are considered to be valid and meaningful. To determine the number of significant figures, we count all the digits except leading zeros (zeros to the left of the first non-zero digit) and trailing zeros (zeros to the right of the last non-zero digit). In this case, there are 5 digits in the number 32747, but the question asks for the number to be written to 4 significant figures. To do this, we need to round the number to the nearest 100.
Solution:
To round the number to the nearest 100, we look at the digit in the thousands place (3) and the digit in the hundreds place (2). Since the digit in the hundreds place is less than 5, we round the thousands place down to 32 and leave the hundreds place as 0. Therefore, the number 32747 written to 4 significant figures is 32750.
Hence, the correct answer is option 'B'.
Significant figures are the digits in a number that are considered to be valid and meaningful. To determine the number of significant figures, we count all the digits except leading zeros (zeros to the left of the first non-zero digit) and trailing zeros (zeros to the right of the last non-zero digit). In this case, there are 5 digits in the number 32747, but the question asks for the number to be written to 4 significant figures. To do this, we need to round the number to the nearest 100.
Solution:
To round the number to the nearest 100, we look at the digit in the thousands place (3) and the digit in the hundreds place (2). Since the digit in the hundreds place is less than 5, we round the thousands place down to 32 and leave the hundreds place as 0. Therefore, the number 32747 written to 4 significant figures is 32750.
Hence, the correct answer is option 'B'.
Which of the following choices lists these decimals in order from least to greatest : 3.45, 3.0459, 3.5, 3.4059?- a)3.0459, 3.4059, 3.45, 3.5
- b)3.4059, 3.5, 3.0459, 3.45
- c)3.5, 3.45, 3.4059, 3.0459
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
Which of the following choices lists these decimals in order from least to greatest : 3.45, 3.0459, 3.5, 3.4059?
a)
3.0459, 3.4059, 3.45, 3.5
b)
3.4059, 3.5, 3.0459, 3.45
c)
3.5, 3.45, 3.4059, 3.0459
d)
None of the above
|
Stoneridge Institute answered |
To order these decimals, let's compare them step by step:
- 3.0459: The smallest value because the whole number part is the same (3) and then it has the smallest fractional part.
- 3.4059: The second smallest, since 3.4 is smaller than 3.45 and 3.5.
- 3.45: Larger than 3.4059 because it has a 5 in the hundredths place, which is greater than the 0 in 3.4059.
- 3.5: The largest because it has a 5 in the tenths place and no digits in the hundredths or thousandths place, which makes it larger than the others.
Thus, the correct order from least to greatest is: 3.0459, 3.4059, 3.45, 3.5.
The correct answer is A.
Which of the following choices lists these decimals in order from least to greatest : 7.102, 7.0102, 7.012, 7.00102, 7.102021?- a)7.102021, 7.00102, 7.012, 7.0102, 7.102
- b)7.00102, 7.0102, 7.012, 7.102, 7.102021
- c)7.102021, 7.102, 7.012, 7.0102, 7.00102
- d)None of the above
Correct answer is option 'B'. Can you explain this answer?
Which of the following choices lists these decimals in order from least to greatest : 7.102, 7.0102, 7.012, 7.00102, 7.102021?
a)
7.102021, 7.00102, 7.012, 7.0102, 7.102
b)
7.00102, 7.0102, 7.012, 7.102, 7.102021
c)
7.102021, 7.102, 7.012, 7.0102, 7.00102
d)
None of the above
|
Kunal Desai answered |
Explanation:
To arrange the decimals from least to greatest, we need to compare the digits after the decimal point in each number.
Step 1: Identify the whole numbers
- The whole number part of each decimal is 7 in all the options.
Step 2: Compare the first digit after the decimal point
- In option a, the first digit after the decimal point is 1.
- In option b, the first digit after the decimal point is 0.
- In option c, the first digit after the decimal point is 1.
Step 3: Compare the second digit after the decimal point
- In option a, the second digit after the decimal point is 0.
- In option b, the second digit after the decimal point is 1.
- In option c, the second digit after the decimal point is 0.
Step 4: Compare the third digit after the decimal point
- In option a, there is no third digit after the decimal point.
- In option b, the third digit after the decimal point is 2.
- In option c, the third digit after the decimal point is 1.
Step 5: Compare the fourth digit after the decimal point
- In option a, the fourth digit after the decimal point is 1.
- In option b, the fourth digit after the decimal point is 0.
- In option c, the fourth digit after the decimal point is 0.
Step 6: Compare the fifth digit after the decimal point
- In option a, there is no fifth digit after the decimal point.
- In option b, there is no fifth digit after the decimal point.
- In option c, the fifth digit after the decimal point is 2.
Step 7: Compare the sixth digit after the decimal point
- In option a, there is no sixth digit after the decimal point.
- In option b, there is no sixth digit after the decimal point.
- In option c, the sixth digit after the decimal point is 1.
Step 8: Compare the seventh digit after the decimal point
- In option a, there is no seventh digit after the decimal point.
- In option b, there is no seventh digit after the decimal point.
- In option c, the seventh digit after the decimal point is 0.
Step 9: Compare the eighth digit after the decimal point
- In option a, there is no eighth digit after the decimal point.
- In option b, there is no eighth digit after the decimal point.
- In option c, the eighth digit after the decimal point is 2.
Step 10: Compare the ninth digit after the decimal point
- In option a, there is no ninth digit after the decimal point.
- In option b, there is no ninth digit after the decimal point.
- In option c, the ninth digit after the decimal point is 1.
Step 11: Compare the tenth digit after the decimal point
- In option a, there is no tenth digit after the decimal point.
- In option b, the tenth digit after the decimal point is 2.
- In option c, there is no tenth digit after the decimal point.
Final Arr
To arrange the decimals from least to greatest, we need to compare the digits after the decimal point in each number.
Step 1: Identify the whole numbers
- The whole number part of each decimal is 7 in all the options.
Step 2: Compare the first digit after the decimal point
- In option a, the first digit after the decimal point is 1.
- In option b, the first digit after the decimal point is 0.
- In option c, the first digit after the decimal point is 1.
Step 3: Compare the second digit after the decimal point
- In option a, the second digit after the decimal point is 0.
- In option b, the second digit after the decimal point is 1.
- In option c, the second digit after the decimal point is 0.
Step 4: Compare the third digit after the decimal point
- In option a, there is no third digit after the decimal point.
- In option b, the third digit after the decimal point is 2.
- In option c, the third digit after the decimal point is 1.
Step 5: Compare the fourth digit after the decimal point
- In option a, the fourth digit after the decimal point is 1.
- In option b, the fourth digit after the decimal point is 0.
- In option c, the fourth digit after the decimal point is 0.
Step 6: Compare the fifth digit after the decimal point
- In option a, there is no fifth digit after the decimal point.
- In option b, there is no fifth digit after the decimal point.
- In option c, the fifth digit after the decimal point is 2.
Step 7: Compare the sixth digit after the decimal point
- In option a, there is no sixth digit after the decimal point.
- In option b, there is no sixth digit after the decimal point.
- In option c, the sixth digit after the decimal point is 1.
Step 8: Compare the seventh digit after the decimal point
- In option a, there is no seventh digit after the decimal point.
- In option b, there is no seventh digit after the decimal point.
- In option c, the seventh digit after the decimal point is 0.
Step 9: Compare the eighth digit after the decimal point
- In option a, there is no eighth digit after the decimal point.
- In option b, there is no eighth digit after the decimal point.
- In option c, the eighth digit after the decimal point is 2.
Step 10: Compare the ninth digit after the decimal point
- In option a, there is no ninth digit after the decimal point.
- In option b, there is no ninth digit after the decimal point.
- In option c, the ninth digit after the decimal point is 1.
Step 11: Compare the tenth digit after the decimal point
- In option a, there is no tenth digit after the decimal point.
- In option b, the tenth digit after the decimal point is 2.
- In option c, there is no tenth digit after the decimal point.
Final Arr
What is the hundredths digit in the number 356.812?- a)1
- b)2
- c)3
- d)8
Correct answer is option 'A'. Can you explain this answer?
What is the hundredths digit in the number 356.812?
a)
1
b)
2
c)
3
d)
8
|
Sneha Rane answered |
The hundredths digit is the second digit to the right of the decimal point, which is the 1: 356.812
For the decimal number 89.56 what is the digit in the tenths place?- a)5
- b)6
- c)8
- d)9
Correct answer is option 'A'. Can you explain this answer?
For the decimal number 89.56 what is the digit in the tenths place?
a)
5
b)
6
c)
8
d)
9
|
|
Jaideep Banerjee answered |
The tenths place comes immediately after the decimal point. So in this case the digit in the tenths place is 5
For the number 2,367.981, where do you find the largest digit?- a)In the thousands place
- b)In the units place
- c)In the tenths place
- d)In the hundredths place
Correct answer is option 'C'. Can you explain this answer?
For the number 2,367.981, where do you find the largest digit?
a)
In the thousands place
b)
In the units place
c)
In the tenths place
d)
In the hundredths place
|
|
Nishtha Banerjee answered |
The highest place value in the number is the thousands, but that’s not what the question is asking. The largest digit in the number is 9, which is in the tenths place.
The number 3754 expressed to the nearest hundred is- a)3700
- b)3750
- c)3800
- d)4000
Correct answer is option 'C'. Can you explain this answer?
The number 3754 expressed to the nearest hundred is
a)
3700
b)
3750
c)
3800
d)
4000
|
|
Prathap answered |
3800 comes by adding 46.
Which decimal represents seven hundred sixty-two and three tenths?- a)7,623.
- b)76.23
- c)762.3
- d)76.3
Correct answer is option 'C'. Can you explain this answer?
Which decimal represents seven hundred sixty-two and three tenths?
a)
7,623.
b)
76.23
c)
762.3
d)
76.3
|
|
Ankita Bajaj answered |
In option c, we have 762.3. If we separate this, we'll get 700+60+2+0.3
which spells out, seven hundred sixty two and three tenths
Which of the following can be written in the box 
- a)18
- b)12
- c)60
- d)15
Correct answer is option 'A'. Can you explain this answer?
Which of the following can be written in the box
a)
18
b)
12
c)
60
d)
15
|
Edu Impact answered |
taking box as a
just cross multiply
20a=5x72
20a=360
a=360/20
a=18
For the number 489.6327, where do you find the smallest digit?
- a)In the hundreds place
- b)In the hundredths place
- c)In the thousandths place
- d)In the ten-thousandths place
Correct answer is option 'C'. Can you explain this answer?
For the number 489.6327, where do you find the smallest digit?
a)
In the hundreds place
b)
In the hundredths place
c)
In the thousandths place
d)
In the ten-thousandths place
|
Ruksna Mansuri answered |
E V S question answers How far is makai Darwaza from Fateh Darwaza ? iska answer
For the number 25.639, what is the place value of the digit 6?- a)6 tens
- b)6 units
- c)6 tenths
- d)6 hundredths
Correct answer is option 'C'. Can you explain this answer?
For the number 25.639, what is the place value of the digit 6?
a)
6 tens
b)
6 units
c)
6 tenths
d)
6 hundredths
|
Sagar Gupta answered |
6 is the first digit to the right of the decimal point, so it is 6 tenths.
Express 4/9 as a decimal correct to 3 decimal places.- a)0.400
- b)0.414
- c)0.444
- d)0.490
Correct answer is option 'C'. Can you explain this answer?
Express 4/9 as a decimal correct to 3 decimal places.
a)
0.400
b)
0.414
c)
0.444
d)
0.490
|
Abhay Datta answered |
Step 1 : There is no way to multiply 9 to become 10 or 100 or any “1 followed by 0s”, but we can calculate an approximate decimal by choosing to multiply by 111.
Step 2 : Multiply top and bottom by 111:
Step 3 : Now, 999 is nearly 1,000, so let us write down 444 with the decimal point 3 spaces from the right (because 1,000 has 3 zeros): 0.444 correct to 3 decimal places.
Step 2 : Multiply top and bottom by 111:
Step 3 : Now, 999 is nearly 1,000, so let us write down 444 with the decimal point 3 spaces from the right (because 1,000 has 3 zeros): 0.444 correct to 3 decimal places.
What is the tenths digit in the number 43.765?- a)7
- b)6
- c)5
- d)4
Correct answer is option 'A'. Can you explain this answer?
What is the tenths digit in the number 43.765?
a)
7
b)
6
c)
5
d)
4
|
|
Nishtha Banerjee answered |
The tenths digit is the first digit to the right of the decimal point, which is the 7.
Express 0.85 as a fraction in its lowest terms.- a)17/20
- b)17/25
- c)19/20
- d)19/25
Correct answer is option 'A'. Can you explain this answer?
Express 0.85 as a fraction in its lowest terms.
a)
17/20
b)
17/25
c)
19/20
d)
19/25
|
Ameya Shah answered |
Understanding the Decimal 0.85
To convert the decimal 0.85 into a fraction, follow these steps:
Step 1: Write as a Fraction
- Start by expressing 0.85 as a fraction:
0.85 = 85/100
Step 2: Simplify the Fraction
- Now, simplify the fraction 85/100 by finding the greatest common divisor (GCD) of the numerator (85) and the denominator (100).
Step 3: Find the GCD
- The factors of 85 are 1, 5, 17, and 85.
- The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.
- The common factor is 5.
Step 4: Divide by the GCD
- Divide both the numerator and the denominator by their GCD (5):
85 ÷ 5 = 17
100 ÷ 5 = 20
Step 5: Write the Simplified Fraction
- This yields the simplified fraction:
0.85 = 17/20
Conclusion
- Therefore, the decimal 0.85 can be expressed as the fraction 17/20 in its lowest terms.
Correct Answer
- The correct option is a) 17/20.
To convert the decimal 0.85 into a fraction, follow these steps:
Step 1: Write as a Fraction
- Start by expressing 0.85 as a fraction:
0.85 = 85/100
Step 2: Simplify the Fraction
- Now, simplify the fraction 85/100 by finding the greatest common divisor (GCD) of the numerator (85) and the denominator (100).
Step 3: Find the GCD
- The factors of 85 are 1, 5, 17, and 85.
- The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.
- The common factor is 5.
Step 4: Divide by the GCD
- Divide both the numerator and the denominator by their GCD (5):
85 ÷ 5 = 17
100 ÷ 5 = 20
Step 5: Write the Simplified Fraction
- This yields the simplified fraction:
0.85 = 17/20
Conclusion
- Therefore, the decimal 0.85 can be expressed as the fraction 17/20 in its lowest terms.
Correct Answer
- The correct option is a) 17/20.
Which one of the following fractions is the largest?- a)29/36
- b)7/9
- c)5/6
- d)3/4
Correct answer is option 'C'. Can you explain this answer?
Which one of the following fractions is the largest?
a)
29/36
b)
7/9
c)
5/6
d)
3/4
|
|
Abhay Datta answered |
To compare the fractions, we need to write each of them as an equivalent fraction with a common denominator i.e. we must find the least common multiple of 36, 9, 6 and 4.
Since 9, 6 and 4 are all factors of 36, the least common multiple is 36 So change them all to equivalent fractions with denominator 36:
7/9 will become 28/36
5/6 will become 30/36
3/4 will become 27/36
Now they all have the same denominator, we just need to find the one with the largest numerator, which is 30. Therefore, 5/6 is the largest fraction.
Since 9, 6 and 4 are all factors of 36, the least common multiple is 36 So change them all to equivalent fractions with denominator 36:
7/9 will become 28/36
5/6 will become 30/36
3/4 will become 27/36
Now they all have the same denominator, we just need to find the one with the largest numerator, which is 30. Therefore, 5/6 is the largest fraction.
For the decimal number 83.72 what is the digit in the hundredths place?- a)2
- b)3
- c)7
- d)8
Correct answer is option 'A'. Can you explain this answer?
For the decimal number 83.72 what is the digit in the hundredths place?
a)
2
b)
3
c)
7
d)
8
|
|
Sagar Gupta answered |
The tenths place comes immediately after the decimal point and the hundredths place comes after that. In this case the digit in the tenths place is 7 and the digit in the hundredths place is 2
Express 8/25 as a decimal- a)0.16
- b)0.32
- c)0.33
- d)0.4
Correct answer is option 'B'. Can you explain this answer?
Express 8/25 as a decimal
a)
0.16
b)
0.32
c)
0.33
d)
0.4
|
|
Rounak Chawla answered |
Divide 8 by 25 : 8÷25=0.32
OR
Make the bottom number some multiple of 10:
We can multiply 25 by 4 to make 100
So multiply top and bottom by 4. You will get 32/100.
Now, Write that fraction as a decimal: Write down 32 with the decimal point 2 spaces from the right (because 100 has 2 zeros): 0.32
OR
Make the bottom number some multiple of 10:
We can multiply 25 by 4 to make 100
So multiply top and bottom by 4. You will get 32/100.
Now, Write that fraction as a decimal: Write down 32 with the decimal point 2 spaces from the right (because 100 has 2 zeros): 0.32
For the number 36.2495, what is the place value of the digit 9?- a)9 tenths
- b)9 hundredths
- c)9 thousandths
- d)9 ten-thousandths
Correct answer is option 'C'. Can you explain this answer?
For the number 36.2495, what is the place value of the digit 9?
a)
9 tenths
b)
9 hundredths
c)
9 thousandths
d)
9 ten-thousandths
|
|
Nishtha Banerjee answered |
9 is the third digit to the right of the decimal point, so it is 9 thousandths.(2 is in the tenths place, 4 is in the hundredths place, 9 is in the thousandths place and 5 is in the ten-thousandths place)
Divide the sum of 3.6 and 0.75 by 5.- a)14.25
- b)4.35
- c)0.87
- d) 0.72
Correct answer is option 'C'. Can you explain this answer?
Divide the sum of 3.6 and 0.75 by 5.
a)
14.25
b)
4.35
c)
0.87
d)
0.72
|
Nisha Choudhury answered |
Sum = 3.6 + 0.75 = 4.35
Now,
4.35 ÷ 5 = 0.87
Now,
4.35 ÷ 5 = 0.87
The sum of (6 tens 11 tenths and 32 hundredths) and (5 tens 15 hundredths and 38 thousandths) is- a)100.602
- b)110.562
- c)111.608
- d)112.015
Correct answer is option 'C'. Can you explain this answer?
The sum of (6 tens 11 tenths and 32 hundredths) and (5 tens 15 hundredths and 38 thousandths) is
a)
100.602
b)
110.562
c)
111.608
d)
112.015
|
|
Nishanth Patel answered |
Understanding the Numbers
To solve the problem, we first need to convert the numbers from their verbal descriptions into numerical form.
First Number:
- 6 tens = 60
- 11 tenths = 1.1
- 32 hundredths = 0.32
Thus, the first number can be expressed as:
60 + 1.1 + 0.32
Second Number:
- 5 tens = 50
- 15 hundredths = 0.15
- 38 thousandths = 0.038
Thus, the second number can be expressed as:
50 + 0.15 + 0.038
Calculating Each Number:
- For the first number:
- 60 + 1.1 + 0.32 = 61.42
- For the second number:
- 50 + 0.15 + 0.038 = 50.188
Adding Both Numbers:
Now, we sum the two results:
- 61.42 + 50.188
To make addition easier, align the numbers:
61.420
+ 50.188
---------
Performing the Addition:
Starting from the right:
- Thousandths: 0 + 8 = 8
- Hundredths: 2 + 8 = 10 (write 0, carry over 1)
- Tenths: 4 + 1 + 1 (carry) = 6
- Units: 1 + 0 = 1
- Tens: 6 + 5 = 11
So, the total is:
- 111.608
Final Result:
The sum of (6 tens 11 tenths and 32 hundredths) and (5 tens 15 hundredths and 38 thousandths) is 111.608, which corresponds to option C.
To solve the problem, we first need to convert the numbers from their verbal descriptions into numerical form.
First Number:
- 6 tens = 60
- 11 tenths = 1.1
- 32 hundredths = 0.32
Thus, the first number can be expressed as:
60 + 1.1 + 0.32
Second Number:
- 5 tens = 50
- 15 hundredths = 0.15
- 38 thousandths = 0.038
Thus, the second number can be expressed as:
50 + 0.15 + 0.038
Calculating Each Number:
- For the first number:
- 60 + 1.1 + 0.32 = 61.42
- For the second number:
- 50 + 0.15 + 0.038 = 50.188
Adding Both Numbers:
Now, we sum the two results:
- 61.42 + 50.188
To make addition easier, align the numbers:
61.420
+ 50.188
---------
Performing the Addition:
Starting from the right:
- Thousandths: 0 + 8 = 8
- Hundredths: 2 + 8 = 10 (write 0, carry over 1)
- Tenths: 4 + 1 + 1 (carry) = 6
- Units: 1 + 0 = 1
- Tens: 6 + 5 = 11
So, the total is:
- 111.608
Final Result:
The sum of (6 tens 11 tenths and 32 hundredths) and (5 tens 15 hundredths and 38 thousandths) is 111.608, which corresponds to option C.
For the decimal number 347.92 what is the digit in the tenths place?- a)2
- b)3
- c)4
- d)9
Correct answer is option 'D'. Can you explain this answer?
For the decimal number 347.92 what is the digit in the tenths place?
a)
2
b)
3
c)
4
d)
9
|
|
Maya Mehta answered |
The tenths place comes immediately after the decimal point. So in this case the digit in the tenths place is 9
The simplest form of 48/60 is- a)5/4
- b)4/5
- c)8/10
- d)12/15
Correct answer is option 'B'. Can you explain this answer?
The simplest form of 48/60 is
a)
5/4
b)
4/5
c)
8/10
d)
12/15
|
|
Neeraj chauhan answered |
The GCF of both numerator and denominator is 12. By dividing the numerator and denominator with GCF, we get
48 / 60 x 12 / 12 = 4 / 5.
Which of the following is the largest decimal number?- a)0.0231
- b)0.231
- c)0.03
- d)0.2
Correct answer is option 'B'. Can you explain this answer?
Which of the following is the largest decimal number?
a)
0.0231
b)
0.231
c)
0.03
d)
0.2
|
Abhishek Roy answered |
231/1000 is shown in place value chart below.
How much pizza is left on the plate?
- a)8/7
- b)5/8
- c)3/4
- d)7/8
Correct answer is option 'D'. Can you explain this answer?
How much pizza is left on the plate?
a)
8/7
b)
5/8
c)
3/4
d)
7/8
|
|
Rounak Chawla answered |
There are 7 slices of pizza left on the plate out of eight pieces altogether. Therefore, the fraction of pizza shown is 7/8.
For the fraction of pizza shown in the diagram, what is the numerator?
- a)3
- b)4
- c)5
- d)8
Correct answer is option 'C'. Can you explain this answer?
For the fraction of pizza shown in the diagram, what is the numerator?
a)
3
b)
4
c)
5
d)
8
|
|
Abhay Datta answered |
The diagram shows 5 slices of pizza left on the plate out of eight slices altogether. So the fraction is 5/8. The numerator is the top number, which is 5.
Which of the following is a greater fraction?- a)4/5
- b)5/6
- c)5/3
- d)5/2
Correct answer is option 'D'. Can you explain this answer?
Which of the following is a greater fraction?
a)
4/5
b)
5/6
c)
5/3
d)
5/2
|
Deepika Tiwari answered |
Introduction:
In this question, we are given four fractions: 4/5, 5/6, 5/3, and 5/2. We need to determine which fraction is the greatest among them.
Method:
To compare fractions, we can use a common denominator. The common denominator for all these fractions is 30. We will convert each fraction to an equivalent fraction with a denominator of 30 and then compare their numerators.
Conversion to a common denominator:
To convert 4/5 to an equivalent fraction with a denominator of 30, we can multiply both the numerator and denominator by 6: (4/5) x (6/6) = 24/30.
To convert 5/6 to an equivalent fraction with a denominator of 30, we can multiply both the numerator and denominator by 5: (5/6) x (5/5) = 25/30.
To convert 5/3 to an equivalent fraction with a denominator of 30, we can multiply both the numerator and denominator by 10: (5/3) x (10/10) = 50/30.
To convert 5/2 to an equivalent fraction with a denominator of 30, we can multiply both the numerator and denominator by 15: (5/2) x (15/15) = 75/30.
Comparison:
Now, we can compare the numerators of the converted fractions.
24/30, 25/30, 50/30, 75/30
Among these numerators, 75 is the greatest. Therefore, the fraction 5/2 (or 75/30) is the greatest among the given fractions.
Conclusion:
The fraction 5/2 (or 75/30) is the greatest among the given fractions: 4/5, 5/6, 5/3, and 5/2.
In this question, we are given four fractions: 4/5, 5/6, 5/3, and 5/2. We need to determine which fraction is the greatest among them.
Method:
To compare fractions, we can use a common denominator. The common denominator for all these fractions is 30. We will convert each fraction to an equivalent fraction with a denominator of 30 and then compare their numerators.
Conversion to a common denominator:
To convert 4/5 to an equivalent fraction with a denominator of 30, we can multiply both the numerator and denominator by 6: (4/5) x (6/6) = 24/30.
To convert 5/6 to an equivalent fraction with a denominator of 30, we can multiply both the numerator and denominator by 5: (5/6) x (5/5) = 25/30.
To convert 5/3 to an equivalent fraction with a denominator of 30, we can multiply both the numerator and denominator by 10: (5/3) x (10/10) = 50/30.
To convert 5/2 to an equivalent fraction with a denominator of 30, we can multiply both the numerator and denominator by 15: (5/2) x (15/15) = 75/30.
Comparison:
Now, we can compare the numerators of the converted fractions.
24/30, 25/30, 50/30, 75/30
Among these numerators, 75 is the greatest. Therefore, the fraction 5/2 (or 75/30) is the greatest among the given fractions.
Conclusion:
The fraction 5/2 (or 75/30) is the greatest among the given fractions: 4/5, 5/6, 5/3, and 5/2.
Which of the following fraction is a unlike fraction of 3/7?- a)5/7
- b)8/7
- c)3/5
- d)9/7
Correct answer is option 'C'. Can you explain this answer?
Which of the following fraction is a unlike fraction of 3/7?
a)
5/7
b)
8/7
c)
3/5
d)
9/7
|
|
Rhea shah answered |
< b="" />Explanation: < />
To find an unlike fraction of 3/7, we need to find a fraction that has a different denominator than 7.
< b="" />Option a) 5/7: < />
This fraction has the same denominator as 3/7, so it is not an unlike fraction.
< b="" />Option b) 8/7: < />
This fraction has a different numerator than 3/7, but it has the same denominator. Therefore, it is not an unlike fraction.
< b="" />Option c) 3/5: < />
This fraction has a different denominator than 3/7. Therefore, it is an unlike fraction.
< b="" />Option d) 9/7: < />
This fraction has a different numerator than 3/7, but it has the same denominator. Therefore, it is not an unlike fraction.
< b="" />Conclusion: < />
The unlike fraction of 3/7 is option c) 3/5.
To find an unlike fraction of 3/7, we need to find a fraction that has a different denominator than 7.
< b="" />Option a) 5/7: < />
This fraction has the same denominator as 3/7, so it is not an unlike fraction.
< b="" />Option b) 8/7: < />
This fraction has a different numerator than 3/7, but it has the same denominator. Therefore, it is not an unlike fraction.
< b="" />Option c) 3/5: < />
This fraction has a different denominator than 3/7. Therefore, it is an unlike fraction.
< b="" />Option d) 9/7: < />
This fraction has a different numerator than 3/7, but it has the same denominator. Therefore, it is not an unlike fraction.
< b="" />Conclusion: < />
The unlike fraction of 3/7 is option c) 3/5.
Which of the following is the expanded form of 0.546?- a)A. (0 × 1) + (5 × 0.1) + (4 × 0.01 ) + (6 ×0.001)
- b)B. (0 × 1) + (6 ×0.1 ) + (5 ×0.01 ) + (4 ×0.001 )
- c)C. (0 × 1) + (5 ×0.001 ) + (4 ×0.01 ) + (6 ×0.1 )
- d)None of the above.
Correct answer is option 'A'. Can you explain this answer?
Which of the following is the expanded form of 0.546?
a)
A. (0 × 1) + (5 × 0.1) + (4 × 0.01 ) + (6 ×0.001)
b)
B. (0 × 1) + (6 ×0.1 ) + (5 ×0.01 ) + (4 ×0.001 )
c)
C. (0 × 1) + (5 ×0.001 ) + (4 ×0.01 ) + (6 ×0.1 )
d)
None of the above.
|
Arka Gupta answered |
A) 0.5 + 0.04 + 0.006
What fraction has denominator 12 and equivalent to 2/3.- a)8/12
- b)9/12
- c)11/12
- d)
Correct answer is option 'A'. Can you explain this answer?
What fraction has denominator 12 and equivalent to 2/3.
a)
8/12
b)
9/12
c)
11/12
d)
|
|
Anisha Iyer answered |
The denominator is the number on the bottom of the fraction. To get an equivalent fraction with denominator 12, we have to multiply the denominator (3) by 4. Therefore, we also have to multiply the numerator (2) by 4 and we get 8/12.
The equivalent fraction of 3/5 with denominator 20 is - a)12/20
- b)20/12
- c)10/20
- d)15/20
Correct answer is option 'A'. Can you explain this answer?
The equivalent fraction of 3/5 with denominator 20 is
a)
12/20
b)
20/12
c)
10/20
d)
15/20
|
Rahul Kumar answered |
3/5 = a/20
3/5 x 20 =a
12 = a
3/5 x 20 =a
12 = a
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