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5. Adding and Subtracting Decimals December 04, 2015 Warm Up 12‐4‐15 Adding and Subtracting Decimals *When adding or subtracting decimals, always remember to align the decimals vertically... You may add zero as a place holder to line them up! 0.65 0.45 0.75 0.25 1.00 + . 0.1 + 1.25 + 0.04 + 1.39 Add these decimals... Don't forget to line them up! 0.10 1.25 0.04 1.39 + 2.78 If you know how to add whole numbers then you can add decimals. Just follow these few steps. Step 1: Put the numbers in a vertical column, aligning the decimal points. Step 2: Add each column of digits, starting on the right and working left. Step 3: Place the decimal point in the answer directly below the decimal points that you lined up in Step 1. TRY THESE. 1) 8.23 + 4.125 + 0.1189 2) 3.178 + 12.28 + 9 8.2300 3.178 4.1250 12.280 + 0.1189 + 9.000 12.4739 24.458 EST. EST

5. Adding and Subtracting Decimals - Livingston Public Schools · 2015-12-04 · 5. Adding and Subtracting Decimals December 04, 2015 Put the numbers in a vertical column aligning

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Page 1: 5. Adding and Subtracting Decimals - Livingston Public Schools · 2015-12-04 · 5. Adding and Subtracting Decimals December 04, 2015 Put the numbers in a vertical column aligning

5. Adding and Subtracting Decimals December 04, 2015

Warm Up 12‐4‐15

Adding and Subtracting Decimals

*When adding or subtracting decimals, always remember to align the decimals vertically... You may add zero as a place holder to line them up!

0.650.450.750.251.00+.

0.1 + 1.25 + 0.04 + 1.39

Add these decimals... Don't forget to line them up!

0.101.250.041.39

+

2.78

If you know how to add whole numbers then you can add decimals. Just follow these few steps.

Step 1: Put the numbers in a vertical column, aligning the decimal points.

Step 2: Add each column of digits, starting on the right and working left.

Step 3: Place the decimal point in the answer directly below the decimal points that you

lined up in Step 1.

TRY THESE.

1) 8.23 + 4.125 + 0.1189 2) 3.178 + 12.28 + 9

8.2300 3.178 4.1250 12.280

+ 0.1189 + 9.000 12.4739 24.458

EST. EST

Page 2: 5. Adding and Subtracting Decimals - Livingston Public Schools · 2015-12-04 · 5. Adding and Subtracting Decimals December 04, 2015 Put the numbers in a vertical column aligning

5. Adding and Subtracting Decimals December 04, 2015

TRY THESE.

3) 17.009 + 2.965 + 8.4 4) 9.999 + 3.1567 + 4.5656

17.009 9.999 2.965 3.1567

+ 8.400 + 4.5656 28.374 17.7213

ESTEST.

1.15

1 Add the following:

0.6 + 0.55

A 6.1

B .115

C 1.15

D 0.16

2 Find the sum

1.025 + 0.03 + 14.0001

15.0551

3 What is the sum of

12.034 and 0.0104?

A 12.1344

B 12.0444

C 12.138

D 1.20444

B

20.852

4 Find the sum

8.5 + 0.042 + 12.31

A 13.58

B 21.23

C 20.852

D 20.14

5 Find the sum:

5 + 100.145 + 57.8962 + 2.312

Page 3: 5. Adding and Subtracting Decimals - Livingston Public Schools · 2015-12-04 · 5. Adding and Subtracting Decimals December 04, 2015 Put the numbers in a vertical column aligning

5. Adding and Subtracting Decimals December 04, 2015

Put the numbers in a vertical column aligning the decimal points.

1.1

‐ 0.3

Subtract the numbers from right to left using the same rules as whole numbers.

1.1

‐ 0.30.8

Subtract decimals

10

What do we do if there aren't enough decimal places when we subtract?

4.3 ‐ 2.05

Don't forget...Line them up!

4.32.05

What goes here?

TRY THESE.

1) 8 ‐ 0.1189 2) 12.283 ‐ 9.025

8.0000 ‐ 0.1189 7.8811

12.283­     9.025   

3.258

EST.EST.

TRY THESE.

3) 17.009 ‐ 8.4 4) 9.999 ‐ 4.5656

17.009 9.9990 ‐ 8.400 ‐ 4.5656

8.609 5.4334

EST. EST.

6

5 ‐ 0.238 12.809 ‐ 4

Page 4: 5. Adding and Subtracting Decimals - Livingston Public Schools · 2015-12-04 · 5. Adding and Subtracting Decimals December 04, 2015 Put the numbers in a vertical column aligning

5. Adding and Subtracting Decimals December 04, 2015

8

1897.112 ‐ 0.647

9

4.1 ‐ 0.094

17 ‐ 13.008