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All questions of Decimals for Grade 6 Exam

Write 2 rupees and 5 paise as decimal.
  • a)
    Rs 2.05
  • b)
    Rs 2.005
  • c)
    Rs 2.5
  • d)
    Rs 2
Correct answer is option 'A'. Can you explain this answer?

EduRev Class 6 answered
Converting 2 rupees and 5 paise to decimal

- To convert 2 rupees and 5 paise to decimal, we need to consider that 1 rupee is equal to 100 paise.
- Therefore, 2 rupees is equal to 200 paise.
- Adding 200 paise to 5 paise gives us a total of 205 paise.
- To convert paise to rupees, we divide the total paise by 100.
- Therefore, 205 paise is equal to 2.05 rupees.
- Hence, 2 rupees and 5 paise can be written as Rs 2.05 in decimal form.

What is the sum of 0.3, 0.03 and 0.003?
  • a)
    0.999
  • b)
    0.393
  • c)
    0.636
  • d)
    0.333
Correct answer is option 'D'. Can you explain this answer?

Rajeev Sen answered
1/3 because 0.3 + 0.03 equals .33 then you add .003 and you get .333 if you keep adding them you get .333 repeating forever .. which equals 1/3 or 3/9ths
So correct answer option D

Lakshmi is 150 cm tall. What is her height in metres?
  • a)
    1 metre
  • b)
    1.5 metres
  • c)
    15.0 metres
  • d)
    0.15 metres
Correct answer is option 'B'. Can you explain this answer?

Kunal Mehta answered
who has a height of 150 cm has a height of 1.5 meters.
You can convert centimeters to meters simply by dividing the cm by 10, and vice versa for converting meters to centimeters. For example, 10 cm / 10 is .1 meters, and 1 m / 10 is 100 cm.

What is 6.7 + 2.3?
  • a)
    8.1
  • b)
    9.0
  • c)
    9.1
  • d)
    8.7
Correct answer is option 'B'. Can you explain this answer?

Anisha Iyer answered
Understanding the Problem
To solve the problem of adding 6.7 and 2.3, you need to align the decimal points and then perform the addition.
Step-by-Step Calculation
1. Align the Numbers
Write the numbers one below the other, making sure to line up the decimal points:
- 6.7
- 2.3
2. Performing the Addition
Start from the rightmost digit:
- Add the tenths place: 7 + 3 = 10 (write down 0, carry over 1)
- Add the whole numbers and the carry: 6 + 2 + 1 (from carry) = 9
3. Combine the Results
So, the final addition gives you:
- 9.0
Final Answer
Thus, the result of 6.7 + 2.3 is 9.0, which corresponds to option 'b'.
Conclusion
- Correct Answer: Option 'b' (9.0)
- Key Takeaway: Always align the decimal points when adding decimal numbers to ensure accuracy.

What is to be subtracted from 7.3 to get 0.867? 
  • a)
    5.433
  • b)
    6.433
  • c)
    7.433
  • d)
    6.233
Correct answer is option 'B'. Can you explain this answer?

Understanding the Problem
To find what needs to be subtracted from 7.3 to reach 0.867, we can set up the equation:
7.3 - x = 0.867
Here, "x" represents the value that we need to find.
Rearranging the Equation
To isolate "x", we can rearrange the equation:
x = 7.3 - 0.867
Next, we perform the subtraction to find the value of "x".
Performing the Calculation
Let's break down the subtraction step-by-step:
- First, write down the numbers clearly:
- 7.3
- 0.867
- Align the decimal points and perform the subtraction:
- Convert 7.3 to 7.300 for easier calculation.
Now, subtract:
7.300
- 0.867
__________
6.433
Thus, x = 6.433.
Conclusion
The value that needs to be subtracted from 7.3 to obtain 0.867 is 6.433.
Therefore, the correct answer is option b) 6.433.

Which decimal number is the same as 1/2 ?
  • a)
    0.34
  • b)
    0.51
  • c)
    0.75
  • d)
    3.4
Correct answer is option 'B'. Can you explain this answer?

To find which decimal number is the same as 1/2, we need to convert the fraction into a decimal.

1/2 as a decimal is 0.5.

Let's analyze the options given:

a) 0.34 - This decimal number is not equal to 1/2.

b) 0.50 - This decimal number is equal to 1/2.

c) 0.75 - This decimal number is not equal to 1/2.

d) 3.4 - This decimal number is not equal to 1/2.

Therefore, the correct answer is option b) 0.50.

Explanation:
- Option a) is 0.34, which is less than 1/2 because 34 is less than 50.
- Option b) is 0.50, which is equal to 1/2 because 50 is equal to 50.
- Option c) is 0.75, which is greater than 1/2 because 75 is greater than 50.
- Option d) is 3.4, which is a whole number and not a decimal equivalent of 1/2.

By comparing the options to the decimal equivalent of 1/2, we can clearly see that option b) 0.50 is the correct answer.

Express 88 meters as kilometers using decimals.
  • a)
    0.88 km
  • b)
    0.088 km
  • c)
    8.8 km
  • d)
    0.008 km
Correct answer is option 'B'. Can you explain this answer?

Gunjan Lakhani answered
To convert meters to kilometers, divide the number of meters by 1,000, since 1 kilometer equals 1,000 meters.
For 88 meters: 88/1000 = 0.088 kilometers.
Thus, 88 meters is equivalent to 0.088 kilometers.
The correct answer is option B: 0.088 km.

Find the sum of the following:0.015 + 4.25 + 12.3
  • a)
    16.565
  • b)
    15.065
  • c)
    16.595
  • d)
    15.595
Correct answer is option 'A'. Can you explain this answer?

Charvi Pillai answered
Understanding the Problem
To find the sum of the numbers 0.015, 4.25, and 12.3, we need to align the decimal points for easier addition.
Aligning the Numbers
- 0.015
- 4.250
- 12.300
Notice that we can add zeros to the right of the decimal to make the numbers align properly.
Adding the Numbers
Now we can add the numbers column by column:
- Start from the rightmost column (thousandths place):
- 5 + 0 + 0 = 5
- Move to the hundredths place:
- 1 + 5 + 0 = 6
- Next, the tenths place:
- 0 + 2 + 3 = 5
- Finally, the units place:
- 0 + 4 + 12 = 16 (carry over 1)
Thus, we get:
Final Calculation
So, the total sum is:
- 16.565
Conclusion
Based on our calculations, the correct answer is option 'A': 16.565. This shows that the summation of the three numbers is accurately represented in the answer options provided.

3 – 0.007 = ? 
  • a)
    2.933
  • b)
    2.093
  • c)
    2.903
  • d)
    2.993
Correct answer is option 'D'. Can you explain this answer?

Ashwini Goyal answered
Subtracting Decimal Numbers:
To subtract decimal numbers, align the decimal points and then subtract as you would with whole numbers.

Calculation:
Given: 3 - 0.007
Aligning the decimal points, we get:
3.000
- 0.007
--------
2.993
Therefore, 3 - 0.007 equals 2.993.
Therefore, the correct answer is option D.

76.3 – 7.666 – 6.77 – 5.55 = ?
  • a)
    56.341
  • b)
    56.314
  • c)
    54.641
  • d)
    54.341 
Correct answer is option 'B'. Can you explain this answer?

Shilpa Shah answered
76.3 is a numerical value and does not have any specific meaning without context. It could represent a measurement, a temperature, a score, a percentage, or any other numerical data depending on the context in which it is used.

7.8 = 7+ 8/?. Which number should replace the ? to make it true?
  • a)
    1
  • b)
    8
  • c)
    10
  • d)
    100
Correct answer is option 'C'. Can you explain this answer?

Solution:
To make the given equation true, we need to express the mixed number 7 8/? as an improper fraction and then multiply the denominator of the fraction with 7 and add the numerator to get the equivalent fraction of 7.8.

Let's convert 7 8/? to an improper fraction:
7 8/? = (7 × ? + 8)/? = (7? + 8)/?

Now, we need to find the value of ? such that (7? + 8)/? = 7.8

Multiplying both sides by ?, we get:
7? + 8 = 7.8 × ?
7? = 7.8 × ? - 8
? = (7.8 × ? - 8)/7

Now, we can try each option given in the answer choices to find the value of ? that satisfies the equation.

a) ? = 1
(7.8 × 1 - 8)/7 = -0.2/7 ≠ 1

b) ? = 8
(7.8 × 8 - 8)/7 = 54.4/7 ≠ 8

c) ? = 10
(7.8 × 10 - 8)/7 = 70/7 = 10

d) ? = 100
(7.8 × 100 - 8)/7 = 772/7 ≠ 100

Therefore, the correct answer is option 'C' i.e. 10.

2 kg 57 g = ?
  • a)
    2.57 kg
  • b)
    2.570 kg
  • c)
    2.057 kg
  • d)
    None of these 
Correct answer is option 'C'. Can you explain this answer?

Ashwini Goyal answered
Understanding the Problem
To convert the weight from kilograms and grams into a single unit (kilograms), we need to know the relationship between kilograms and grams.
- 1 kilogram (kg) = 1000 grams (g)
Breaking Down the Given Weight
The given weight is 2 kg and 57 g. We can convert it as follows:
- Convert grams to kilograms:
57 g can be converted to kilograms by dividing by 1000.
57 g = 57 / 1000 kg = 0.057 kg
- Add the two weights together:
Now, we can add the kilograms:
2 kg + 0.057 kg = 2.057 kg
Final Conversion
Thus, when you combine both the kilograms and the converted grams, the total weight is:
- Total weight = 2.057 kg
Selecting the Correct Answer
Now, let's look at the options provided:
a) 2.57 kg
b) 2.570 kg
c) 2.057 kg
d) None of these
From our calculations, the correct answer is:
- Option C: 2.057 kg
Conclusion
In summary, by converting grams to kilograms and then summing them, we arrive at the total weight of 2.057 kg, confirming that the correct choice is option C.

Match the following.
  • a)
    (i)-[a],(ii)-[c],(iii)-[b],[iv]-[e],[v]-[a]
  • b)
    (i)-[c],(ii)-[a],(iii)-[d],[iv]-[e],[v]-[b]
  • c)
    (i)-[b],(ii)-[d],(iii)-[c],[iv]-[a],[v]-[e]
  • d)
    (i)-[d],.(ii)-[c],(iii)-[a],[iv]-[b],[v]-[e]
Correct answer is option 'B'. Can you explain this answer?

Let's Tute answered
Answer: B
The correct matching is:
  • (i) - [c]
  • (ii) - [a]
  • (iii) - [d]
  • (iv) - [e]
  • (v) - [b]
This indicates that:
  • Item (i) corresponds to [c]
  • Item (ii) corresponds to [a]
  • Item (iii) corresponds to [d]
  • Item (iv) corresponds to [e]
  • Item (v) corresponds to [b]
Thus, the answer is option B.

How does the value of a digit change as it moves from the right to the left in a place value chart?
  • a)
    Decreases by 10 times.
  • b)
    Decreases by 1/10 times.
  • c)
    Increases by 10 times.
  • d)
    Increases by 1/10 times.
Correct answer is option 'C'. Can you explain this answer?

Sagar Sharma answered
The value of a digit changes as it moves from the right to the left in a place value chart. Let's understand this concept in detail:

Understanding Place Value:
In our number system, each digit has a specific value depending on its position in a number. This is known as place value. The value of a digit is determined by its position in relation to the decimal point.

For example, in the number 345.67:
- The digit 7 is in the ones place and has a value of 7.
- The digit 6 is in the tenths place and has a value of 6/10 or 0.6.
- The digit 5 is in the hundredths place and has a value of 5/100 or 0.05.
- The digit 4 is in the thousands place and has a value of 4 * 1000 or 4000.
- The digit 3 is in the ten thousands place and has a value of 3 * 10,000 or 30,000.

Increasing Value:
As we move from right to left in a place value chart, the value of a digit increases by 10 times. This is because each digit's value is 10 times greater than the digit to its right.

For example, consider the number 345.67 again:
- The digit 5 is 10 times greater than the digit 4.
- The digit 4 is 10 times greater than the digit 3.

So, as we move from right to left, the value of each digit increases by a factor of 10.

Summary:
In a place value chart, the value of a digit changes as it moves from the right to the left. The value of a digit increases by 10 times as we go from right to left. This is a fundamental concept in our number system and helps us understand the relative values of digits in a number.

During three days of a week, an auto driver earns Rs 302.80, Rs 379.20 and Rs 297.60 respectively. What is his total earning during these days?
  • a)
    Rs 979.60
  • b)
    Rs 978.60
  • c)
    Rs 969.60
  • d)
    Rs 997.60 
Correct answer is option 'A'. Can you explain this answer?

Total earning during three days

To find the total earning during the three days, we need to add up the earnings of each day.

Given:
Earning on the first day = Rs 302.80
Earning on the second day = Rs 379.20
Earning on the third day = Rs 297.60

To find the total earning, we add these amounts together:

Total earning = Rs 302.80 + Rs 379.20 + Rs 297.60

Calculating the total earning:

Total earning = Rs 979.60

Therefore, the total earning during these three days is Rs 979.60.

The correct answer is option A) Rs 979.60.

Which of the following is the correct order
  • a)
    5.5 < 5.05 < 5.005 < 5.555
  • b)
    5.005 < 5.05 < 5.5 < 5.555
  • c)
    5.05 < 5.55 < 5.005 < 5.555
  • d)
    None of these 
Correct answer is option 'B'. Can you explain this answer?

EduRev Class 6 answered
To compare the numbers, we need to consider their values:
  • 5.005 is the smallest because it has the smallest decimal part.
  • 5.05 comes next, as it has a larger decimal part than 5.005.
  • 5.5 comes after 5.05, as 5.5 is greater.
  • 5.555 is the largest number.
Thus, the correct order is: 5.005 < 5.05 < 5.5 < 5.555
Therefore, the correct answer is Option B.

Which of the following is the place value of 3 in 4.375?
  • a)
    3/10
  • b)
    30
  • c)
    3
  • d)
    3/1000
Correct answer is option 'A'. Can you explain this answer?

EduRev Class 6 answered
In the number 4.375, the place value of 3 is three-tenths or 0.3.
Here’s how we determine this:
  • The digit 3 is located in the tenths place.
  • This means its value is calculated as 3 × 1/10 = 0.3.

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