Worksheet on Fractional and Decimal Expansion

Practice math questions given in the worksheet on fractional and decimal expansion. The problems are based on writing decimals in expanded notation and place value of decimals and also writing the decimals in fractional expansion.

1. Write each of the following in the expanded form.

Also, write decimal places in each of the following.

(a) 13.49

(b) 2345.078

(c) 826.204

(d) 0.3

(e) 29.7

2. Give the fractional expansion for the following.

(a) 9.764

(b) 17.085

(c) 23.709

(d) 285.99

(e) 76.1

3. Write the decimal expansion for the following.

(a) 1.234

(b) 63.801

(c) 3.62

(d) 231.5

4. Write the decimal for each of the following.

(a) 5 + 0.6 + 0.09

(b) 9 + 0.0 + 0.02 + 0.009

(c) 10 + 7 + 0.3 + 0.00 + 0.007

(d) 1 + 1/10 + 7/1000

(e) 40 + 3 + 5/100 + 4/1000

(f) 30 + 1/1000

Answers for the worksheet on fractional and decimal expansion are given below to check the exact answers of the above expansions.

Answers:

1. (a) 10 + 3 + 0.4 + 0.09; 2

(b) 2000 + 300 + 40 + 5 + 0.0 + 0.07 + 0.008; 3

(c) 800 + 20 + 6 + 0.2 + 0.004; 3

(d) 0 + 0.3, 1

(e) 20 + 9 + 0.7; 1

2. (a) 9 + 7/10 + 6/100 + 4/1000

(b) 10 + 7 + 0/10 + 8/100 + 5/1000

(c) 20 + 3 + 7/10 + 0/100 + 9/1000

(d) 200 + 80 + 5 + 9/10 + 9/100

(e) 70 + 6 + 1/10

3. (a) 1 + 0.2 + 0.03 + 0.004

(b) 60 + 3 + 0.8 + 0.00 + 0.001

(c) 3 + 0.6 + 0.02

(d) 200 + 30 + 1 + 0.5

4. (a) 5.69

(b) 9.029

(c) 17.307

(d) 1.107

(e) 43.054

(f) 30.001

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