Decimals Place Value
& Operations

Grade 5Decimals

Read, write, compare, add, subtract, multiply, and divide decimals to the hundredths place.

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1Place value of decimals

Each digit in a decimal has a place value.

3.42
↙↓↘
OnesTenthsHundredths
342

In 3.42,
3 is in the ones place, 4 is in the tenths place, and 2 is in the hundredths place.

2Compare decimals

Compare the digits from left to right.

0.75 > 0.57

Both numbers have 0 ones. In the tenths place, 7 is greater than 5, so 0.75 > 0.57.

1.20 = 1.2

1.20 and 1.2 are equal. Adding a zero at the end does not change the value.

3Add and subtract decimals

Line up the decimal points. Then add or subtract as you would with whole numbers.

Addition

4.35
+ 2.406.75

Line up the decimal points. 4.35 + 2.40 = 6.75

Subtraction

7.80
− 3.254.55

Line up the decimal points. 7.80 − 3.25 = 4.55

4Multiply and divide decimals

You can multiply or divide decimals by whole numbers.

Multiplication

0.6 × 4 = 2.4

Think: 6 tenths × 4 = 24 tenths, which is 2.4.

0.6
0.6
0.6
0.6
2.4

Division

3.6 ÷ 9 = 0.4

Think: 36 tenths ÷ 9 = 4 tenths, which is 0.4.

0.4

💡 Try it yourself!

What is 2.45 + 1.30?