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
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) 4.76
(c) 5.5
(d) 23.156
(e) 4.995
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