Solve the problems below following the rules for order of operations.
Problem 1 :
12.2 × 9.4 - 2.68 + 1.6 ÷ 0.8
Solution :
Given 12.2 × 9.4 - 2.68 + 1.6 ÷ 0.8
= 12.2 × 9.4 - 2.68 + 1.6 ÷ 0.8 (Division)
= 12.2 × 9.4 - 2.68 + 2 (Multiplication)
= 114.68 - 2.68 + 2 (Subtraction)
= 112 + 2 (Addition)
= 114
Problem 2 :
9.6 + 3.6 - (0.4)2
Solution :
Given, 9.6 + 3.6 - (0.4)2
= 9.6 + 3.6 - (0.4)2 (Exponents)
= 9.6 + 3.6 - 0.16(Addition)
= 13.2 - 0.16 (Addition)
= 13.04
Problem 3 :
(0.76 + 4.24) ÷ 0.25 + 8.6
Solution :
Given, (0.76 + 4.24) ÷ 0.25 + 8.6
= (0.76 + 4.24) ÷ 0.25 + 8.6 (Bracket)
= 5 ÷ 0.25 + 8.6 (Division)
= 20 + 8.6 (Addition)
= 28.6
Problem 4 :
(32.16 - 32.02)2 ÷ (2.24 + 1.76)
Solution :
Given, (32.16 - 32.02)2 ÷ (2.24 + 1.76)
= (32.16 - 32.02)2 ÷ (2.24 + 1.76) (Bracket)
= (0.14)2 ÷ (2.24 + 1.76) (Exponents)
= 0.0196 ÷ (2.24 + 1.76) (Addition)
= 0.0196 ÷ 4 (Division)
= 0.0049
Problem 5 :
2.4 + (0.5)2 - 0.35
Solution :
Given, 2.4 + (0.5)2 - 0.35
= 2.4 + (0.5)2 - 0.35 (Exponents)
= 2.4 + 0.25 - 0.35 (Addition)
= 2.65 - 0.35 (Subtraction)
= 2.3
Problem 6 :
(1.1)3 + 8.6 ÷ 2.15 - 0.086
Solution :
Given, (1.1)3 + 8.6 ÷ 2.15 - 0.086
= (1.1)3 + 8.6 ÷ 2.15 - 0.086 (Exponents)
= 1.331 + 8.6 ÷ 2.15 - 0.086 (Division)
= 1.331 + 4 - 0.086 (Subtraction)
= 1.331 + 3.914 (Addition)
= 5.245
Problem 7 :
(0.6)3 + (7 - 6.3) × 0.07
Solution :
Given, (0.6)3 + (7 - 6.3) × 0.07
= 0.216 + (7 - 6.3) × 0.07 (Exponents)
= 0.216 + (7 - 6.3) × 0.07 (Bracket)
= 0.216 + 0.7 × 0.07 (Multiplication)
= 0.216 + 0.049 (Addition)
= 0.265
Problem 8 :
(0.6)3 + (2.4)2 + 18.6 ÷ 3.05 + 4.8
Solution :
Given, (0.6)3 + (2.4)2 + 18.6 ÷ 3.05 + 4.8
= (0.6)3 + (2.4)2 + 18.6 ÷ 3.05 + 4.8 (Exponents)
= 0.216 + + (2.4)2 + 18.6 ÷ 3.05 + 4.8 (Exponents)
= 0.216 + 5.76 + 18.6 ÷ 3.05 + 4.8 (Division)
= 0.216 + 5.76 + 6.099 + 4.8 (Addition)
= 16.875
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM