ROUNDING DECIMALS TO THE NEAREST WHOLE NUMBER WORKSHEET

Question 1 :

Round 5.769 to the nearest whole number.

Question 2 :

Round 2.345 to the nearest whole number.

Question 3 :

Round 7.0592 to the nearest whole number.

Question 4 :

Round 1.9743 to the nearest whole number.

Question 5-6 : Round each of the following numbers to the nearest whole number :

Question 5 :

Question 6 :

Question 7 :

52.79% of the people living in a town are female. Round this figure to the nearest whole number.

Question 8 :

Find the circumference of the circle whose radius is 8 cm. Use the value of π from your calculator and round your answer to the nearest whole number.

Question 9 :

Find the area of the circle whose radius is 12 cm. Use the value of π from your calculator and round your answer to the nearest whole number.

Question 10 :

Daniel has been asked to round 7.3 to the nearest whole number. His answer is 73, explain Daniel’s mistake and what is the correct answer?

Question 11 :

Alex writes down two numbers, A and B. A and B have 2 decimal places. Alex rounds A to the nearest whole number and calls his answer C. He rounds B to the nearest whole number and calls his answer D. Alex says the difference between A and B cannot be the same as the difference between C and D. Show that he is incorrect.

Question 12 :

Lily has rounded a number to the nearest whole number. Her answer is 4. Write down 10 different possible numbers that she could have rounded.

Answers

1. Answer :

In 5.769, the first digit after the decimal point is 7, which is greater than 5.

Then, add 1 to the whole number part 5, drop the decimal point and all the digits after it.

Therefore, 5.769 rounded to the nearest whole number is 6.

2. Answer :

In 2.345, the first digit after the decimal point is 3, which is less than 5.

Then, keep the whole number part 2 as it is, drop the decimal point and all the digits after it.

Therefore, 2.345 rounded to the nearest whole number is 2.

3. Answer :

In 7.0592, the first digit after the decimal point is 0, which is less than 5.

Then, keep the whole number part 7 as it is, drop the decimal point and all the digits after it.

Therefore, 7.0592 rounded to the nearest whole number is 7.

4. Answer :

In 1.9743, the first digit after the decimal point is 9, which is greater than 5.

Then, add 1 to the whole number part 1, drop the decimal point and all the digits after it.

Therefore, 1.9743 rounded to the nearest whole number is 2.

5. Answer :

In 3.4, the first digit after the decimal point is 4, which is less than 5.

Then, keep the whole number part 3 as it is, drop the decimal point and all the digits after it.

Therefore, 3.4 rounded to the nearest whole number is 3.

6. Answer :

In 8.75, the first digit after the decimal point is 7, which is greater than 5.

Then, add 1 to the whole number part 8, drop the decimal point and all the digits after it.

Therefore, 8.75 rounded to the nearest whole number is 9.

7. Answer :

In 52.79, the first digit after the decimal point is 7, which is greater than 5.

Then, add 1 to the whole number part 52, drop the decimal point and all the digits after it.

Therefore, 52.79% rounded to the nearest whole number is 53%.

8. Answer :

Formula for circumference of a circle :

= 2πr

Substitute r = 8.

= 2π(8)

= 16π

Using calculator for the value of π,

= 50.265......

In 50.265......, the first digit after the decimal point is 2, which is less than 5.

Then, keep the whole number part 50 as it is, drop the decimal point and all the digits after it.

50.265...... rounded to the nearest whole number is 50.

Therefore, the circumference of the circle is about 50 cm.

9. Answer :

Formula for area of a circle :

= πr²

Substitute r = 12.

= π(12)²

= 144π

Using calculator for the value of π,

= 452.3893.......

In 452.3893......, the first digit after the decimal point is 3, which is less than 5.

Then, keep the whole number part 452 as it is, drop the decimal point and all the digits after it.

452.3893...... rounded to the nearest whole number is 452.

Therefore, the area of the circle is about 452 cm².

10. Answer :

Instead of rounding to the nearest whole number, Daniel has moved the decimal place.

The correct answer is 7.

11. Answer :

Let A = 7.12 and B = 5.12.

Then the difference is

= 7.12 - 5.12

= 2

Given : Alex rounds A to the nearest whole number and calls his answer C. He rounds B to the nearest whole number and calls his answer D.

Then, C = 7 and D = 5.

The difference is

= 7 - 5

= 2

The difference between A and B and the difference between C and D are same.

But, Alex says that the difference between A and B cannot be the same as the difference between C and D.

So, Alex is incorrect.

12. Answer :

3.5

3.6

3.7

3.8

3.9

4.0

4.1

4.2

4.3

4.4

Practice Questions

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