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.


Answers:

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) 23.96

(c) 5.5

(d) 23.156

(e) 4.995

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