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Computing with Decimals

Computing with Decimals. Adding and Subtracting Decimals

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Page 1: Computing with Decimals. Adding and Subtracting Decimals

Computing with Decimals

Page 2: Computing with Decimals. Adding and Subtracting Decimals

Adding and Subtracting

Decimals

Page 3: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

4.6 + 7.23

Page 4: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

4.6 + 7.23

4.60+ 7.23

Page 5: Computing with Decimals. Adding and Subtracting Decimals

Fill in with zeros.

4.6 + 7.23

4.60+ 7.23

Page 6: Computing with Decimals. Adding and Subtracting Decimals

Fill in with zeros.

4.6 + 7.23

4.60+ 7.23

Page 7: Computing with Decimals. Adding and Subtracting Decimals

Add or subtract normally.

4.6 + 7.23

4.60+ 7.23

Page 8: Computing with Decimals. Adding and Subtracting Decimals

Add or subtract normally.

4.6 + 7.23

4.60+ 7.2311 83

Page 9: Computing with Decimals. Adding and Subtracting Decimals

Place the decimal point under the other decimal points.

4.6 + 7.23

4.60+ 7.2311 83

Page 10: Computing with Decimals. Adding and Subtracting Decimals

Place the decimal point under the other decimal points.

4.6 + 7.23

4.60+ 7.2311.83

Page 11: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

12 − 2.46

Page 12: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

12 − 2.46

12 has a decimal point hidden behind it.

Page 13: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

12 − 2.46

12.00− 2.46

Page 14: Computing with Decimals. Adding and Subtracting Decimals

Fill in with zeros.

12 − 2.46

12.00− 2.46

Page 15: Computing with Decimals. Adding and Subtracting Decimals

Fill in with zeros.

12 − 2.46

12.00− 2.46

Page 16: Computing with Decimals. Adding and Subtracting Decimals

Add or subtract normally.

12 − 2.46

12.00− 2.46

Page 17: Computing with Decimals. Adding and Subtracting Decimals

Add or subtract normally.

12 − 2.46

12.00− 2.46

9 54

Page 18: Computing with Decimals. Adding and Subtracting Decimals

Place the decimal point under the other decimal points.

12 − 2.46

12.00− 2.46

9 54

Page 19: Computing with Decimals. Adding and Subtracting Decimals

Place the decimal point under the other decimal points.

12 − 2.46

12.00− 2.46

9.54

Page 20: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

15.2 − 7.93

Page 21: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

15.2 − 7.93

15.20−7.93

Page 22: Computing with Decimals. Adding and Subtracting Decimals

Fill in with zeros.

15.2 − 7.93

15.20−7.93

Page 23: Computing with Decimals. Adding and Subtracting Decimals

Fill in with zeros.

15.2 − 7.93

15.20−7.93

Page 24: Computing with Decimals. Adding and Subtracting Decimals

Add or subtract normally

15.2 − 7.93

15.20−7.93

Page 25: Computing with Decimals. Adding and Subtracting Decimals

Add or subtract normally

15.2 − 7.93

15.20−7.93

7 27

Page 26: Computing with Decimals. Adding and Subtracting Decimals

Place the decimal point under the other decimal points.

15.2 − 7.93

15.20−7.93

7 27

Page 27: Computing with Decimals. Adding and Subtracting Decimals

Place the decimal point under the other decimal points.

15.2 − 7.93

15.20−7.93

7.27

Page 28: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

Fill in with zeros. Add or subtract

normally. Place the decimal

point under the other decimal points.

24.5 – 13

Page 29: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

Fill in with zeros. Add or subtract

normally. Place the decimal

point under the other decimal points.

16.8 + 4.72

Page 30: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

Fill in with zeros. Add or subtract

normally. Place the decimal

point under the other decimal points.

143.2 + 4.18

Page 31: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

Fill in with zeros. Add or subtract

normally. Place the decimal

point under the other decimal points.

35 – 4.5

Page 32: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

Fill in with zeros. Add or subtract

normally. Place the decimal

point under the other decimal points.

2.14 + 8.4

Page 33: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

Fill in with zeros. Add or subtract

normally. Place the decimal

point under the other decimal points.

9 – 3.65

Page 34: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

Fill in with zeros. Add or subtract

normally. Place the decimal

point under the other decimal points.

4.02 + 0.75

Page 35: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

Fill in with zeros. Add or subtract

normally. Place the decimal

point under the other decimal points.

8.4 – 2.13

Page 36: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

Fill in with zeros. Add or subtract

normally. Place the decimal

point under the other decimal points.

5 + 0.52

Page 37: Computing with Decimals. Adding and Subtracting Decimals

Line up the decimal points.

Fill in with zeros. Add or subtract

normally. Place the decimal

point under the other decimal points.

12 – 0.68

Page 38: Computing with Decimals. Adding and Subtracting Decimals

Multiplying Decimals

Page 39: Computing with Decimals. Adding and Subtracting Decimals

Remove any extra zeros.

0.54 x 1.20 .54 x 1.2

0.064 x 2.09 .064 x 2.09

340 x 0.50 340 x .5

4.03 x 6.30 4.03 x 6.3

Page 40: Computing with Decimals. Adding and Subtracting Decimals

Remove any extra zeros.

0.70 x 2.05 .7 x 2.05

0.003 x 1.10 .003 x 1.1

500 x 2.70 500 x 2.7

0.082 x 0.09 .082 x 0.09

Page 41: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

.54 x 1.2

2 digits 2 digits

Page 42: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

.064 x 2.09

2 digits 3 digits

Page 43: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

340 x .5

3 digits 1 digit

Page 44: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

4.03 x 6.3

3 digits 2 digits

Page 45: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

.7 x 2.05

1 digit 3 digits

Page 46: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

.003 x 1.1

1 digit 2 digits

Page 47: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

500 x 2.7

3 digits 2 digits

Page 48: Computing with Decimals. Adding and Subtracting Decimals

Remove any extra zeros.

0.47 x 0.2

Page 49: Computing with Decimals. Adding and Subtracting Decimals

Remove any extra zeros.

0.47 x 0.2

Page 50: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

0.47 x 0.2

Page 51: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

0.47 x 0.2

2 digits

Page 52: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

0.47 x 0.2

2 digits 1 digit

Page 53: Computing with Decimals. Adding and Subtracting Decimals

Put that number on top lining up the right side of the problem.

0.47 x 0.2

2 digits 1 digit

Page 54: Computing with Decimals. Adding and Subtracting Decimals

Put that number on top lining up the right side of the problem.

.4 7x .2

Page 55: Computing with Decimals. Adding and Subtracting Decimals

Multiply normally.

.4 7x .2

Page 56: Computing with Decimals. Adding and Subtracting Decimals

Multiply normally.

.4 7x .29 4

Page 57: Computing with Decimals. Adding and Subtracting Decimals

Count the total number of decimal places in the problem.

.4 7x .29 4

Page 58: Computing with Decimals. Adding and Subtracting Decimals

Count the total number of decimal places in the problem.

.4 7x .29 4

2 decimal places

Page 59: Computing with Decimals. Adding and Subtracting Decimals

Count the total number of decimal places in the problem.

.4 7x .29 4

2 decimal places

+1 decimal place

Page 60: Computing with Decimals. Adding and Subtracting Decimals

Count the total number of decimal places in the problem.

.4 7x .29 4

2 decimal places

+1 decimal place3 decimal places

Page 61: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

.4 7x .29 4

2 decimal places

+1 decimal place3 decimal places

Page 62: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

.4 7x .29 4

2 decimal places

+1 decimal place3 decimal places

1 decimal place

Page 63: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

.4 7x .29 4

2 decimal places

+1 decimal place3 decimal places

2 decimal places

Page 64: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

.4 7x .2

.0 9 4

2 decimal places

+1 decimal place3 decimal places

3 decimal places

Page 65: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

.4 7x .2

.0 9 4

Page 66: Computing with Decimals. Adding and Subtracting Decimals

Remove any extra zeros.

3.45 x 0.004

Page 67: Computing with Decimals. Adding and Subtracting Decimals

Remove any extra zeros.

3.45 x 0.004

Page 68: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

3.45 x 0.004

Page 69: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

3.45 x 0.004

3 digits

Page 70: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

3.45 x 0.004

3 digits 1 digit

Page 71: Computing with Decimals. Adding and Subtracting Decimals

Put that number on top lining up the right side of the problem.

3.45 x 0.004

3 digits 1 digit

Page 72: Computing with Decimals. Adding and Subtracting Decimals

Put that number on top lining up the right side of the problem.

3 . 4 5x . 0 0 4

Page 73: Computing with Decimals. Adding and Subtracting Decimals

Multiply normally.

3 . 4 5x . 0 0 4

Page 74: Computing with Decimals. Adding and Subtracting Decimals

Multiply normally.

3 . 4 5x . 0 0 41 3 8 0

Page 75: Computing with Decimals. Adding and Subtracting Decimals

Count the total number of decimal places in the problem.

3 . 4 5x . 0 0 41 3 8 0

Page 76: Computing with Decimals. Adding and Subtracting Decimals

Count the total number of decimal places in the problem.

3 . 4 5x . 0 0 41 3 8 0

2 decimal places

Page 77: Computing with Decimals. Adding and Subtracting Decimals

Count the total number of decimal places in the problem.

3 . 4 5x . 0 0 41 3 8 0

2 decimal places

+3 decimal places

Page 78: Computing with Decimals. Adding and Subtracting Decimals

Count the total number of decimal places in the problem.

3 . 4 5x . 0 0 41 3 8 0

2 decimal places

+3 decimal places5 decimal places

Page 79: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

3 . 4 5x . 0 0 41 3 8 0

2 decimal places

+3 decimal places5 decimal places

Page 80: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

3 . 4 5x . 0 0 41 3 8 0

2 decimal places

+3 decimal places5 decimal places

1 decimal place

Page 81: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

3 . 4 5x . 0 0 41 3 8 0

2 decimal places

+3 decimal places5 decimal places

2 decimal places

Page 82: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

3 . 4 5x . 0 0 41 3 8 0

2 decimal places

+3 decimal place5 decimal places

3 decimal places

Page 83: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

3 . 4 5x . 0 0 41 3 8 0

2 decimal places

+3 decimal place5 decimal places

4 decimal places

Page 84: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

3 . 4 5x . 0 0 4

.0 1 3 8 0

2 decimal places

+3 decimal place5 decimal places

5 decimal places

Page 85: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

3 . 4 5x . 0 0 4

. 0 1 3 8 0

Page 86: Computing with Decimals. Adding and Subtracting Decimals

Remove any extra zeros.

3.40 x 1.98

Page 87: Computing with Decimals. Adding and Subtracting Decimals

Remove any extra zeros.

3.40 x 1.98

Page 88: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

3.40 x 1.98

Page 89: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

3.40 x 1.98

2 digits

Page 90: Computing with Decimals. Adding and Subtracting Decimals

Find the number that has the most digits NOT INCLUDING zeros on the front.

3.40 x 1.98

2 digits 3 digits

Page 91: Computing with Decimals. Adding and Subtracting Decimals

Put that number on top lining up the right side of the problem.

3.40 x 1.98

2 digits 3 digits

Page 92: Computing with Decimals. Adding and Subtracting Decimals

Put that number on top lining up the right side of the problem.

1 . 9 8x 3 . 4

Page 93: Computing with Decimals. Adding and Subtracting Decimals

Multiply normally.

1 . 9 8x 3 . 4

Page 94: Computing with Decimals. Adding and Subtracting Decimals

Multiply normally.

1 . 9 8x 3 . 47 9 2

Page 95: Computing with Decimals. Adding and Subtracting Decimals

Multiply normally.

1 . 9 8x 3 . 47 9 2

5 9 4 0

Page 96: Computing with Decimals. Adding and Subtracting Decimals

Multiply normally.

1 . 9 8x 3 . 47 9 2

5 9 4 06 6 3 2

Page 97: Computing with Decimals. Adding and Subtracting Decimals

Count the total number of decimal places in the problem.

1 . 9 8x 3 . 47 9 2

5 9 4 06 6 3 2

Page 98: Computing with Decimals. Adding and Subtracting Decimals

Count the total number of decimal places in the problem.

1 . 9 8x 3 . 47 9 2

5 9 4 06 6 3 2

2 decimal places

Page 99: Computing with Decimals. Adding and Subtracting Decimals

Count the total number of decimal places in the problem.

1 .9 8x 3 . 47 9 2

5 9 4 06 6 3 2

2 decimal places

+1 decimal place

Page 100: Computing with Decimals. Adding and Subtracting Decimals

Count the total number of decimal places in the problem.

1 . 9 8x 3 . 47 9 2

5 9 4 06 6 3 2

2 decimal places

+1 decimal place3 decimal places

Page 101: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

1 . 9 8x 3 . 47 9 2

5 9 4 06 6 3 2

2 decimal places

+1 decimal place3 decimal places

Page 102: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

1 . 9 8x 3 . 47 9 2

5 9 4 06 6 3 2

2 decimal places

+1 decimal place3 decimal places

1 decimal place

Page 103: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

1 . 9 8x 3 . 47 9 2

5 9 4 06 6 3 2

2 decimal places

+1 decimal place3 decimal places

2 decimal places

Page 104: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

1 . 9 8x 3 . 47 9 2

5 9 4 06.6 3 2

2 decimal places

+1 decimal place3 decimal places

3 decimal places

Page 105: Computing with Decimals. Adding and Subtracting Decimals

Put that many decimal places in the answer.

1 . 9 8x 3 . 47 9 2

5 9 4 06.6 3 2

Page 106: Computing with Decimals. Adding and Subtracting Decimals

Remove any extra zeros.Find the number that

has the most digits NOT INCLUDING zeros on the front.

Put that number on top lining up the right side of the problem.

Multiply normally.Count the total decimal

places in the problem.Put that many decimal

places in the answer.