Question 13 of 22intermediate🔍 AnalyzeShort Answer4 marks

In the boxes below, fill '<', '>' or '=' after analysing the expressions on the LHS and RHS. Use reasoning and understanding of terms and brackets to figure this out and not by evaluating the expressions. (a) (8 - 3) × 29 ☐ (3 - 8) × 29 (b) 15 + 9×189 \times 18 ☐ (15 + 9) × 18 (c) 23 × (17 - 9) ☐ 23×1723 \times 17 + 23×923 \times 9 (d) (34 - 28) × 42 ☐ 34×4234 \times 42 - 28×4228 \times 42

(a)
Answer
(b)
Answer

<

(c)
Answer

<

(d)
Answer

=

Explanation

(a) (8 - 3) = 5 (positive), (3 - 8) = -5 (negative). Positive × 29 > Negative × 29. (b) LHS = 15 + 162 = 177. RHS = 24×1824 \times 18 = 432. 177 < 432. (c) LHS = 23×823 \times 8 = 184. RHS = 23 × (17 + 9) = 23×2623 \times 26 = 598. 184 < 598. (d) By distributive property: (a - b) × c = a × c - b × c. So (34 - 28) × 42 = 34×4234 \times 42 - 28×4228 \times 42.

PreviousNext