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GRE - Decimal Artithmetic Refresher

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GRE

Decimal Arithmetic Refresher

Adding and subtracting decimals

• Line up the decimal places, and then add or subtract.

Examples:

 

3.2410

3.241+ 214.4 +90.0318

214.4000

+ 90.0318

307.6728

15.82 7.9241

15.8200

 

7.9241

 

7.8959

 

Practice:

Answers:

 

a)

1.8 + 45.06 =

a) 46.86

 

b)

2.123 + 0.05 + 5.2674 =

b)

7.4404

 

c)

116.13 – 2.088 =

c)

114.042

 

d)

3.1614 + 158.4 =

d)

161.5614

 

e)

31.4567 – 6.888 =

e)

24.5687

 

f)

1.3 + 2.34 + 78.148 =

f)

81.788

 

g)

5.6 – 3.321 =

g)

2.279

 

h)

0.0015 + 9.578 =

h)

9.5795

 

i)

98.6571 – 17.547 =

i)

81.1101

 

 

 

 

 

 

 

 

 

 

1

GRE

Decimal Arithmetic Refresher

Multiplying decimals

1)Ignore the decimals and determine the product

2)Examine the numbers that you multiplied and count the total number of digits to the right of the decimal

3)In your product, move the decimal point to the left the same number of places

Examples:

18.456 ×8.6

Total of 4 digits to the right of the decimal point

Practice:

a)6.5 × 0.84 =

b)5.02 × 16.84 =

c)480.25 × 0.06 =

d)0.017 × 0.53 =

e)782.1 × 1.46 =

18456 × 86

110736

+1476480

1587216

158.7216

4 places

ÅRewrite numbers without decimals

ÅFind the product

Åmove decimal point 4 places to the left

Answers:

a) 5.46

b) 84.5368

c) 28.815

d) 0.00901

e) 1141.866

2

GRE

Decimal Arithmetic Refresher

Dividing decimals

1)Move the decimals to the right until the divisor becomes an integer

2)Divide, keeping the decimal in the same location

Example:

11.22 ÷13.6

Å The divisor (13.6) is a decimal

 

 

112.2 ÷136

Å Move the decimal point one place to the left to left

 

0.825

 

 

136 112.200

 

 

1088

Å Carry out long division

 

340

 

272

 

680

680

0

 

Practice:

Answers:

 

a)

79.3 ÷ 1.22 =

a)

65

 

b)

175.18 ÷ 4.75 =

b)

36.88

 

c)

2.5228 ÷ 0.0035 =

c)

720.8

 

d)

20.79 ÷ 6.6 =

d)

3.15

 

e)

0.9 ÷ 0.0125 =

e)

72

 

f)

258.75 ÷ 1.035 =

f)

250

 

 

 

 

 

 

 

 

 

 

3