Question 17 of 22advanced🔍 AnalyzeShort Answer6 marks

Identify which of the following expressions are equal to the given expression without computation. You may rewrite the expressions using terms or removing brackets. There can be more than one expression which is equal to the given expression. (a) 83 - 37 - 12 (i) 84 - 38 - 12 (ii) 84 - (37 + 12) (iii) 83 - 38 - 13 (iv) -37 + 83 - 12 (b) 93 + 37×4437 \times 44 + 76 (i) 37 + 93×4493 \times 44 + 76 (ii) 93 + 37×7637 \times 76 + 44 (iii) (93 + 37) × (44 + 76) (iv) 37×4437 \times 44 + 93 + 76

(a)

83 - 37 - 12: Which expressions are equal?

Answer

(i) 84 - 38 - 12 and (iv) -37 + 83 - 12 are equal to 83 - 37 - 12

(b)

93 + 37×4437 \times 44 + 76: Which expressions are equal?

Answer

(iv) 37×4437 \times 44 + 93 + 76 is equal to 93 + 37×4437 \times 44 + 76

Explanation

(a) (i) 84 - 38 - 12 = 34 (same as original). (iv) -37 + 83 - 12 = 34 (terms rearranged) (b) (iv) rearranges the terms: 37×4437 \times 44 + 93 + 76 = 1628 + 93 + 76 = 1797, same as original

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