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Knowing whether to round a number up or down is vital in the world of math! It very much depends on whether the number is above or below half way. The same rules apply to rounding decimal numbers and whole ones. Just as the whole number 32 is rounded down to 30, the decimal number 3.2 is rounded down to 3. Fractions can also be rounded up or down. For example, ^{2}⁄_{5} would be rounded down and
^{3}⁄_{5} would be rounded up.

1.

Which of these numbers would be rounded **up** to the nearest 10?

175

263

994

812

When rounding numbers to the nearest 10, numbers ending in 5 are rounded up

2.

In which of these questions would you need to round the answer down?

A box holds 12 eggs. How many boxes will I need to hold 80 eggs?

Stickers are £3.75 each. I have £12. How many stickers can I buy?

There are 345 children and teachers going on a school trip. A bus holds 52. How many busses will be needed?

Hot dogs are £2.60. I have £10.40. How many hot dogs can I buy?

12 ÷ 3.75 = 3.2 so we have to round 3.2 down to 3. In the other questions we either round the answer up or leave it as it is

3.

Which is the nearest whole number to 0.5?

0

1

2

3

When rounding to the nearest whole number, numbers ending in .5 are round up

4.

Which is the nearest 1,000 to 2,845?

1,000

2,000

3,000

4,000

2,845 is much closer to 3,000 than it is to 2,000

5.

Which of these numbers would be rounded **up** to the nearest 1,000?

7,469

2,431

3,050

6,500

When rounding to the nearest 1,000, numbers ending in 500 are rounded up

6.

Which is the nearest whole number to 1.36?

1

2

3

4

Decimals less than .5 are rounded down

7.

Which is the nearest million to 3,798,631?

2,000,000

3,000,000

4,000,000

5,000,000

3,798,631 is 201,369 less than 4,000,000

8.

Which is the nearest 100 to 942?

800

900

1,000

1,100

942 is closer to 900 than to 1,000

9.

Which is the nearest 1,000 to 15,762?

10,000

15,000

16,000

17,000

15,762 is only 238 less than 16,000

10.

Which number is between 7,000 and 8,000?

650

6,500

7,500

8,500

7,500 is exactly halfway between 7,000 and 8,000 but would be rounded up rather than down