ROUNDING DECIMALS TO THE NEAREST THOUSANDTH WORKSHEET

Question 1 :

Round 9.50761 to the nearest thousandth.

Question 2 :

Round 1.0082 to the nearest thousandth.

Question 3 :

Round 3.2106 to the nearest thousandth.

Question 4 :

Round 7.82986 to the nearest thousandth.

Question 5 :

Round 0.2151 to the nearest thousandth.

Question 6 :

Round 0.000801 to the nearest thousandth.

Questions 7-8 : Round each of the following numbers to the nearest thousandth :

Question 7 :

Question 8 :

Question 9 :

The radius of a circle is 5.4 cm. Find its circumference using the value of π from your calculator and round your answer to the nearest thousandth.

Question 10 :

The radius of a circle is 7.5 cm. Find its circumference using the value of π from your calculator and round your answer to the nearest thousandth.

Question 11 :

A student rounds the number 8.306813 to the nearest thousandth. His answer is 8306.813. Explain the student's mistake and find the correct answer.

Question 12 :

Mary rounded a number to the nearest thousandth and it was 2.789. Write down 10 different possible numbers that she could have rounded.

Answers

1. Answer :

In 9.50761, the digit at thousandths place is 7.

The digit to the right of 7 is 6, which is greater than 5.

So, add 1 to the digit 7 at thousandths place and drop all the digits to the right of 7.

Therefore, 9.50761 rounded to the nearest thousandths is 9.508.

2. Answer :

In 1.0082, the digit at thousandths place is 8.

The digit to the right of 8 is 2, which is less than 5.

So, keep the digit 8 at thousandths place as it is and drop the digit 8 to the right of 7.

Therefore, 1.0082 rounded to the nearest thousandths is 1.008.

3. Answer :

In 3.2106, the digit at thousandths place is 0.

The digit to the right of 0 is 6, which is greater than 5.

So, add 1 to the digit 0 at thousandths place and drop the digit 6 to to the right of 0.

Therefore, 3.2106 rounded to the nearest thousandths is 3.211.

4. Answer :

In 7.82986, the digit at thousandths place is 9.

The digit to the right of 9 is 8, which is greater than 5.

So, add 1 to the digit 9 at thousandths place and drop the digits to all the right of 9.

Therefore, 7.82986 rounded to the nearest thousandths is 7.830.

5. Answer :

In 0.2151, the digit at thousandths place is 5.

The digit to the right of 5 is 1, which is less than 5.

So, keep the digit 5 at thousandths place as it is and drop the digit 1 to the right of 5.

Therefore, 0.2151 rounded to the nearest thousandths is 0.215.

6. Answer :

In 0.000801, the digit at thousandths place is 0.

The digit to the right of 0 is 8, which is greater than 5.

So, add to the digit 0 at thousandths place and drop all the digits to the right of 5.

Therefore, 0.000801 rounded to the nearest thousandths is 0.001.

7. Answer :

In 7.8437, the digit at thousandths place is 3.

The digit to the right of 3 is , which is greater than 5.

So, add 1 to the digit 3 at thousandths place and drop the digit 7 to the right of 3.

Therefore, 7.8437 rounded to the nearest thousandth is 7.844.

8. Answer :

In 0.7563, the digit at thousandths place is 6.

The digit to the right of 6 is 3, which is less than 5.

Then, keep the digit 6 at thousandths place as it is and drop the digit 3 to the right of 6.

Therefore, 0.7563 rounded to the nearest thousandth is 0.756.

9. Answer :

Formula for circumference of a circle :

= 2πr

Substitute r = 5.4.

= 2π(5.4)

= 10.8π

Using calculator for the the value of π,

= 33.92920........

In 33.92920........, the digit at thousandths place is 9.

The digit to the right of 9 is 2, which is less than 5.

So, keep the digit 9 at thousandths place as it is and drop all the digits to the right of 9.

33.92920........ rounded to the nearest thousandths is 33.929.

Therefore, the circumference of the circle is about 33.929 cm.

10. Answer :

Formula for area of a circle :

= πr²

Substitute r = 7.5.

= π(7.5)²

= 56.25π

Using calculator for the the value of π,

= 176.7145........

In 176.7145........, the digit at thousandths place is 4.

The digit to the right of 4 is 5.

So, add 1 to the digit 4 at thousandths place and drop all the digits to the right of 4.

176.7145........ rounded to the nearest thousandths is 176.715.

Therefore, the area of the circle is about 176.715 cm².

11. Answer :

Instead of rounding to the nearest thousandth, the student has shifted the decimal place.

The correct answer is 8.307.

12. Answer :

2.7885

2.7886

2.7887

2.7888

2.7889

2.7890

2.7891

2.7892

2.7893

2.7894

Practice Questions

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