1.

What is the difference between the values of the expressions [5 + 32 × 1 ÷ 2 + 42 - 7 ÷ (6 + 41.5)] ÷ 5 × 2 and [5 + 32 × 1 ÷ 2 + 42 - 7 ÷ (6 + 41.5)] ÷ (5 × 2)?1). 102). 2.53). 7.54). 5

Answer»

Both the expressions are same except for the last part 5 × 2 in first ONE and (5 × 2) in the second one

Finding out the value of the expression except that part:

⇒ [5 + 32 × 1 ÷ 2 + 42 - 7 ÷ (6 + 41.5)]

⇒ [5 + 32 × 1 ÷ 2 + 42 - 7 ÷ (6 + 8)] [? BRACKET is operated first, ORDER is next]

⇒ [5 + 32 × 1 ÷ 2 + 42 - 7 ÷ 14]

⇒ [5 + 9 × 1 ÷ 2 + 16 - 7 ÷ 14] [? Order is operated next]

⇒ [5 + 9 × 0.5 + 16 - 0.5] [? Division is operated next]

⇒ [5 + 4.5 + 16 - 0.5] [? Multiplication is operated next]

⇒ [25.5 - 0.5] [? addition is operated next]

⇒ 25 [? subtraction is operated next]

⇒ First expression is (25 ÷ 5) × 2 = 5 × 2 = 10

⇒ Second expression is 25 ÷ (5 × 2) = 25 ÷ 10 = 2.5

∴ Difference of the values = 10 - 2.5 = 7.5


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