Adding & Subtracting Decimals

Grade 5 Mathematics

Name:
Date:

The Big Idea

When adding or subtracting decimals, the #1 RULE is:

LINE UP THE DECIMAL POINTS!

This ensures you add tenths to tenths, hundredths to hundredths, and so on. You can add zeros as placeholders to help!

Example 1: Adding Decimals with Different Place Values

Find: 5.7 + 3.45

Step 1: Line up decimals

5.7
+ 3.45

Step 2: Add zero, then add

5.70
+ 3.45
9.15
!

Adding zeros doesn't change the value! 5.7 = 5.70 = 5.700. The zeros help us line up the places correctly.

Example 2: Subtracting Decimals with Regrouping

Find: 8.3 - 4.68

Step 1: Line up & add zero

8.30
- 4.68

Step 2: Regroup & subtract

7 12 10
8.30
- 4.68
3.62
1

Hundredths: Can't do 0 - 8, so borrow from tenths. 10 - 8 = 2

2

Tenths: Now we have 2 tenths (3-1=2). Can't do 2 - 6, so borrow from ones. 12 - 6 = 6

3

Ones: Now we have 7 ones (8-1=7). 7 - 4 = 3

TRAP ALERT: Don't Forget to Line Up the Decimal Points!

WRONG: Some students line up the last digits: 5.7 + 3.45 as 57 + 345. This gives a wrong answer!

RIGHT: Always line up the decimal points first! Then add zeros if needed to make the same number of decimal places.

Your Turn: Practice Adding & Subtracting Decimals

1. Find: 4.6 + 2.83

Answer:

2. Find: 9.5 - 3.72

Answer:

3. Find: 12 - 5.38

Answer:

4. Maria bought a notebook for $3.75 and a pen for $1.50. How much did she spend in total?

Answer: $

Remember!