Rounding Decimals 2

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Year 8

Decimals

Rounding Decimals

Rounding Decimals 2

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Question 1 of 3

1. Question
Round off $31.472$ $31.472$ to one decimal place.
- (31.5)
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If the number you are rounding is followed by numbers between:

$0 to 4 :$ $0 \text(to) 4:$ Round the number down

$5 to 9 :$ $5 \text(to) 9:$ Round the number up

First, mark the decimal places to remain, as well as the digit to its right.

Since we are rounding to one decimal place, apply the rounding rule on the hundredths value, which is $7$ $7$ .

Since $7$ $7$ is within $5 - 9$ $5-9$ , add $1$ $1$ to the tenths value, then remove any other digits to its right.

$31 .$ $31.$ $4$ $4$ $7$ $7$ $2$ $2$ $=$ $=$ $31 .$ $31.$ $5$ $5$

Therefore, $31.472$ $31.472$ rounded off to one decimal place is $31.5$ $31.5$ .

$31.5$ $31.5$
Question 2 of 3

2. Question
Round off $86.739$ $86.739$ to two decimal places.
- (86.74)
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If the number you are rounding is followed by numbers between:

$0 to 4 :$ $0 \text(to) 4:$ Round the number down

$5 to 9 :$ $5 \text(to) 9:$ Round the number up

First, mark the decimal places to remain, as well as the digit to its right.

Since we are rounding to two decimal places, apply the rounding rule on the thousandths value, which is $9$ $9$ .

Since $9$ $9$ is within $5 - 9$ $5-9$ , add $1$ $1$ to the hundredths value, then remove any other digits to its right.

$86.7$ $86.7$ $3$ $3$ $9$ $9$ $=$ $=$ $86.7$ $86.7$ $4$ $4$

Therefore, $86.739$ $86.739$ rounded off to two decimal places is $86.74$ $86.74$ .

$86.74$ $86.74$
Question 3 of 3

3. Question
Round off $0.00765$ $0.00765$ to three decimal places.
- (0.008)
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If the number you are rounding is followed by numbers between:

$0 to 4 :$ $0 \text(to) 4:$ Round the number down

$5 to 9 :$ $5 \text(to) 9:$ Round the number up

First, mark the decimal places to remain, as well as the digit to its right.

Since we are rounding to three decimal places, apply the rounding rule on the ten thousandths value, which is $6$ $6$ .

Since $6$ $6$ is within $5 - 9$ $5-9$ , add $1$ $1$ to the thousandths value, then remove any other digits to its right.

$0.00$ $0.00$ $7$ $7$ $6$ $6$ $5$ $5$ $=$ $=$ $0.00$ $0.00$ $8$ $8$

Therefore, $0.00765$ $0.00765$ rounded off to three decimal places is $0.008$ $0.008$ .

$0.008$ $0.008$

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