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All questions of Decimals for Class 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.

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?

Rahul Kumar answered
Align the decimal places for addition:
0.015 + 4.250 + 12.300
Add the values:
0.015 + 4.250 = 4.265
4.265 + 12.300 = 16.565

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.

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.

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.

Which is greater: 0.65 or 0.56?
  • a)
    0.65
  • b)
    0.56
  • c)
    Both are equal
  • d)
    Cannot compare
Correct answer is option 'A'. Can you explain this answer?

Understanding Decimal Comparison
When comparing decimals, it's important to look at the digits from left to right. Each digit's place value helps determine which number is greater.
Step-by-Step Comparison
- Identify the Numbers:
We have 0.65 and 0.56.
- Compare the Whole Numbers:
Both numbers are less than 1, so we focus on the digits after the decimal point.
- Examine the Tenths Place:
- In 0.65, the tenths digit is 6.
- In 0.56, the tenths digit is also 5.
Here, 6 (from 0.65) is greater than 5 (from 0.56).
- Conclusion from Tenths Place:
Since the tenths digit of 0.65 is greater than that of 0.56, we can conclude that 0.65 is greater.
Final Verification
- Comparing the Hundredths Place:
- In 0.65, the hundredths digit is 5.
- In 0.56, the hundredths digit is 6.
Although 6 is greater than 5, the comparison was already determined by the tenths place.
- Overall Conclusion:
Since the tenths digit of 0.65 is larger, 0.65 is indeed greater than 0.56.
Correct Answer
- Therefore, the correct answer is option 'A': 0.65 is greater than 0.56.

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.

Write as a decimal: 70 + 2/10 + 6/100
  • a)
    70.06
  • b)
    70.2
  • c)
    70.26
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

To write 70 + 2/10 + 6/100 as a decimal:
  • 70 is the whole number part.
  • 2/10 is equal to 0.2.
  • 6/100 is equal to 0.06.
Combine these to get 70.26.

Decimal notation of one-hundredth is ________.
  • a)
    0.01
  • b)
    0.1
  • c)
    0.2
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Coachify answered
The decimal notation for one-hundredth is 0.01.
This means it is one part of one hundred equal parts.

Find: 0.29 + 0.36
  • a)
    0.065
  • b)
    65
  • c)
    0.65
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Dr Manju Sen answered
Given numbers:
  • 0.29
  • 0.36
Calculation:
  • Add the two numbers: 0.29 + 0.36 = 0.65
Answer: 0.65

Write as decimals: 40 + 2 + 3/10
  • a)
    42.3
  • b)
    42.03
  • c)
    4.23
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Praveen Kumar answered
To convert 40 + 2 + 3/10 into a decimal:
  • Combine the whole numbers: 40 and 2 to get 42.
  • Convert 3/10 to 0.3.
  • Add them together: 42 + 0.3 equals 42.3.
Thus, the decimal form is 42.3.

Write as a decimal: 200 + 30 + 5 + 2/10 + 9/100
  • a)
    23.29
  • b)
    25.29
  • c)
    235.29
  • d)
    235.59
Correct answer is option 'C'. Can you explain this answer?

EduRev Class 6 answered
Calculation:
  • 200 + 30 + 5 + 2/10 + 9/100 = 200 + 30 + 5 + 0.2 + 0.09
  • 200 + 30 + 5 + 0.2 + 0.09 = 235.29
Final Answer:
The given expression as a decimal is 235.29

     

0.01 _____ 0.3
  • a)
    =
  • b)
    <
  • c)
    >
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Dr Manju Sen answered
The number 0.01 is less than 0.3.
Therefore, the correct answer is B: <.

Find: 1.54 + 1.80
  • a)
    3.04
  • b)
    3.3
  • c)
    3.34
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Coachify answered
The correct solution is:
  • Calculate the sum of 1.54 and 1.80.
  • The result is 3.34.
  • Thus, the correct answer is C.

Every fraction with denominator 100 can be written in ________ notation and vice-versa
  • a)
    fraction
  • b)
    decimal
  • c)
    ratio
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Vp Classes answered
- A fraction with a denominator of 100 can be easily converted to decimal notation.
- To convert, divide the numerator by 100. For example, 75/100 = 0.75.
- Decimal notation can also be converted back to a fraction with a denominator of 100 by multiplying the decimal by 100 and using the result as the numerator.

Write as a decimal: 60 + 1/10+3/100
  • a)
    6.13
  • b)
    60.13
  • c)
    60.103
  • d)
    60.013
Correct answer is option 'B'. Can you explain this answer?

Dr Manju Sen answered
Decimal Representation of 60 + 1/10 + 3/100
  • Step 1: 1/10 + 3/100 = 10/100 + 3/100 = 13/100
  • Step 2: Convert the fraction 13/100 to a decimal by dividing 13 by 100: 13 ÷ 100 = 0.13
  • Step 3: Add the decimal 0.13 to the whole number 60: 60 + 0.13 = 60.13
Therefore, the decimal representation of 60 + 1/10 + 3/100 is 60.13, which is option B.

Find: 2.66 + 1.85
  • a)
    4.15
  • b)
    4.5
  • c)
    4.51
  • d)
    4.01
Correct answer is option 'C'. Can you explain this answer?

Praveen Kumar answered
  • Given numbers: 2.66 and 1.85
  • Adding the numbers: 2.66 + 1.85 = 4.51
  • Answer:
  • C: 4.51

Write 2 rupees and 50 paise as decimal.
  • a)
    Rs 2.005
  • b)
    Rs 2
  • c)
    Rs 2.05
  • d)
    Rs 2.50
Correct answer is option 'D'. Can you explain this answer?

EduRev Class 6 answered
To express 2 rupees and 50 paise as a decimal:
  • 1 rupee = 100 paise.
  • 50 paise = 0.50 rupees.
  • Therefore, 2 rupees and 50 paise = Rs 2.50.

Decimal form of ‘six-tenths’ is _________.
  • a)
    0.6
  • b)
    0.5
  • c)
    0.06
  • d)
    0.7
Correct answer is option 'A'. Can you explain this answer?

Dr Manju Sen answered
  • Step 1: Understand that 'six-tenths' means 6 parts out of 10 parts.
  • Step 2: To convert this fraction to a decimal, divide the numerator (6) by the denominator (10).
  • Step 3: 6 ÷ 10 = 0.6
  • Step 4: Therefore, the decimal form of 'six-tenths' is 0.6

Write as a decimal: 300 + 20 + 3 + 4/10 + 5/100
  • a)
    33.45
  • b)
    323.45
  • c)
    323.05
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

To convert 300 + 20 + 3 + 4/10 + 5/100 into a decimal:
  • Combine the whole numbers and fractions: 300 + 20 + 3 = 323.
  • Add the fractions: 4/10 = 0.4 and 5/100 = 0.05.
  • Sum: 323 + 0.4 + 0.05 = 323.45.
Therefore, the correct decimal is 323.45.

Write as decimals: 300 + 5 + 7/10
  • a)
    305.7
  • b)
    305.07
  • c)
    35.7
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Dr Manju Sen answered
  • Convert the fractions to decimals:
    • 7/10 = 0.7
  • Add all the numbers together:
    • 300 + 5 + 0.7 = 305.7
  • Therefore, the correct answer is 305.7.
 

Find: 0.7 + 0.08
  • a)
    0.78
  • b)
    7.8
  • c)
    0.708
  • d)
    78
Correct answer is option 'A'. Can you explain this answer?

EduRev Class 6 answered
  • 0.7 + 0.08 = 0.78
  • To add decimal numbers, align the decimal points and add as you would with whole numbers.
  • Add 0.7 and 0.08:
  • = 0.7 + 0.08 = 0.78
  • The correct answer is 0.78 (option A)

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.

Chapter doubts & questions for Decimals - Mathematics (Maths) Class 6 2025 is part of Class 6 exam preparation. The chapters have been prepared according to the Class 6 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 6 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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