ROUNDING DECIMALS TO THE NEAREST TEN THOUSANDTH WORKSHEET

Question 1 :

Round 7.350478 to the nearest ten thousandth.

Question 2 :

Round 2.501835 to the nearest ten thousandth.

Question 3 :

Round 9.335076 to the nearest ten thousandth.

Question 4 :

Round 6.0102514 to the nearest ten thousandth.

Question 5 :

Round 0.015203 to the nearest ten thousandth.

Question 6 :

Round 0.000068 to the nearest ten thousandth.

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

Question 7 :

Question 8 :

Question 9 :

If the radius of a circle is 6.2 cm, find its circumference using the value of π from your calculator and round your answer to the nearest ten thousandth.

Question 10 :

If the radius of a circle is 9.8 cm, find its area using the value of π from your calculator and round your answer to the nearest ten thousandth.

Question 11 :

A student was asked to round 0.253598 to the nearest ten thousandth and the answer given by him was 25.3598. Explain the mistake done by the student and find the correct answer.

Question 12 :

A number was rounded to the nearest tenth and it was 15.7634. Write down 10 different possible numbers that they could be rounded.

Answers

1. Answer :

In 7.350478, the digit at ten thousandths place is 4. The digit at hundred thousandths place is 7, which is greater than 5.

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

Therefore, 7.350478 rounded to the nearest ten thousandth is 7.3505.

2. Answer :

In 2.501835, the digit at ten thousandths place is 8. The digit at hundred thousandths place is 3, which is less than  5.

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

Therefore, 2.501835 rounded to the nearest ten thousandth is 2.5018.

3. Answer :

In 9.335076, the digit at ten thousandths place is 0. The digit at hundred thousandths place is 7, which is greater than 5.

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

Therefore, 9.335076 rounded to the nearest ten thousandth is 9.3351.

4. Answer :

In 6.0102514, the digit at ten thousandths place is 2. The digit at hundred thousandths place is 5.

So, add 1 to the digit 2 at ten thousandths place and drop all the digits to the right of 2.

Therefore, 6.0102514 rounded to the nearest ten thousandth is 6.0103.

5. Answer :

In 0.015203, the digit at ten thousandths place is 2. The digit at hundred thousandths place is 0, which is less than  5.

So, keep the digit 2 at ten thousandths place as it is and drop all the digits to the right of 2.

Therefore, 0.015203 rounded to the nearest ten thousandth is 0.0152.

6. Answer :

In 0.000068, the digit at ten thousandths place is 0. The digit at hundred thousandths place is 6, which is greater than 5.

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

Therefore, 0.000068 rounded to the nearest ten thousandth is 0.0001.

7. Answer :

In 7.57643, the digit at ten thousandths place is 4.

The digit to the right of 4 is 3, which is less than 5.

So, keep the digit 4 at ten thousandths place as it is and drop the digit 3 to the right of 4.

Therefore, 7.57643 rounded to the nearest ten thousandth is 7.5764.

8. Answer :

In 0.28757, the digit at ten thousandths place is 5.

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

So, add 1 to the digit 5 at ten thousandths place and drop the digit 7 to the right of 5.

Therefore, 0.28757 rounded to the nearest ten thousandth is 0.2876.

9. Answer :

Formula for circumference of a circle :

= 2πr

Substitute r = 6.2.

= 2π(6.2)

= 12.4π

Using calculator for the the value of π,

= 38.955748........

In 38.955748........, the digit at ten thousandths place is 7.

The digit to the right of 7 is 4, which is less than 5.

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

38.955748........ rounded to the nearest ten thousandth is 38.9557.

Therefore, the circumference of the circle is about 38.9557 cm.

10. Answer :

Formula for area of a circle :

= πr²

Substitute r = 9.8.

= π(9.8)²

= 96.04π

Using calculator for the the value of π,

= 301.718558........

In 301.718558........, the digit at ten thousandths place is 5.

The digit to the right of 5 is 5.

So, add 1 to the digit 5 at ten thousandths place drop all the digits to the right of 5.

301.718558......... rounded to the nearest ten thousandth is 301.7186.

Therefore, the area of the circle is about 301.7186 cm².

11. Answer :

Instead of rounding to the nearest ten thousandth, Daniel has moved the decimal place.

The correct answer is 0.2536.

12. Answer :

15.76335

15.76336

15.76337

15.76338

15.76339

15.76340

15.76341

15.76342

15.76343

15.76344

Practice Questions

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