# Worksheet on Simplification of Decimals

Practice math worksheet on simplification of decimals using BODMAS/PEMDAS rules. This worksheet will help the students to obey the rules step-by-step and practice the questions to simplify decimals.

1. Simplify the following decimals:

(a) 17.709 + 9.001 - 10.02

(b) 113 - 56.28 - 4.7

(c) 72.36 - 5.07 + 21.109

(d) 19.05 - [2.06 + {2.57 + (9.91 - 5.09 - 0.76)}]

2. Simplify the decimal numbers:

(a) [(5.39)2 - (2.91)2]/[5.39 - 2.91]

(b) (6.4 × 6.4 - 3.3 × 3.3)/(6.4 + 3.3)

(c) [(5.6)3 - (3.24)3]/[(5.6)2 + (5.6)(3.24) + (3.24)2]

(d) (9.5 × 9.5 × 9.5 - 0.5 × 0.5 × 0.5)/(9.5 × 9.5 + 9.5 × 0.5 + 0.5 × 0.5)

(e) (8.2 × 8.2 - 2 × 8.2 × 1.4 + 1.4 × 1.4)/(3.8 × 3.8 + 0.2 × 0.2 + 2 × 3.8 × 0.2)

3. Simplify using BODMAS/PEMDAS rule

(a) 18 - 4.2 ÷ 6 + 1.3 × 0.4

(b) 6.4 ÷ 1.6 of 5 + 1.3 × 3.1 - 0.07

(c) 50.3 - 5.6 ÷ 0.7 × 1.6 of 3.5

(d) 23.6 - 0.6 of (9.4 - 5.6) + 0.6 × 3.06

(e) 27.08 - [5.6 + 3 of (6.5 - 0.5 × 2.01)]

Answers for the worksheet on simplification of decimals are given below to check the exact answers of the above the operations.

1. (a) 16.69

(b) 52.02

(c) 88.399

(d) 8.84

2. (a) 8.3

(b) 3.1

(c) 2.36

(d) 10

(e) 2.89

3. (a) 17.82

(b) 4.76

(c) 5.5

(d) 23.156

(e) 4.995

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