Fill in the blanks with numbers, and boxes by signs, so that the expressions on both sides are equal. Class 7
hardFill in the blanks with numbers, and boxes by signs, so that the expressions on both sides are equal. Class 7
Question 1.
Fill in the blanks with numbers, and boxes by signs, so that the expressions on both sides are equal.
(a) 3 × (6 + 7) = 3 × 6 + 3 × 7
(b) (8 + 3) × 4 = 8 × 4 + 3 × 4
(c) 3 × (5 + 8) = 3 × 5 ☐ 3 × ____
(d) (9 + 2) × 4 = 9 × 4 ☐ 2 ×____
(e) 3 × (____ + 4) = 3 ____+____
(f) (____+ 6) × 4 = 13 × 4 + ____
(g) 3 × (____+____) = 3 × 5 + 3 × 2
(h) (____+____)×____= 2 × 4 + 3 × 4
(i) 5 × (9 – 2) = 5 × 9 - 5 × ____
(j) (5 - 2) × 7 = 5 × 7 - 2 × ____
(k) 5 × (8 - 3) = 5 × 8 ☐ 5 × ____
(l) (8 - 3) × 7 = 8 × 7 ☐ 3 × 7
(m) 5 × (12 - ____) =____ ☐ 5 ×____
(n) (15 - ____) × 7 =____ ☐ 6 × 7
(o) 5 × (____ - ____) = 5 × 9 - 5 × 4
(p) (____ - ____) × ____= 17 × 7 - 9 × 7
Solution:
(a) 3 × (6 + 7) = 3 × 6 + 3 × 7
(b) - (8 + 3) × 4 = 8 × 4 + 3 × 4
(c) 3 × (5 + 8) = 3 × 5 + 3 × 8
(d) (9 + 2) × 4 = 9 × 4 + 2 × 4
(e) 3 × (5 + 4) = 3 × 5 + 3 × 4, etc.
(f) (13 + 6) × 4 = 13 × 4 + 6 × 4
(g) 3 × (5 + 2) = 3 × 5 + 3 × 2
(h) (2 + 3) × 4 = 2 × 4 + 3 × 4
(i) 5 × (9 - 2) = 5 × 9 - 5 × 2
(j) (5 - 2) × 7 = 5 × 7 - 2 × 7
(k) 5 × (8 - 3) = 5 × 8 - 5 × 3
(l) (8 - 3) × 7 = 8 × 7 - 3 × 7
(m) 5 × (12 - 4) = 5 × 12 - 5 × 4, etc.
(n) (15 - 6) × 7 = 15 × 7 - 6 × 7
(o) 5 × (9 - 4) = 5 × 9 - 5 × 4
(p) (17 - 9) × 7 = 17 × 7 - 9 × 7
Question 2.
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. Class 7
(a) (8 - 3) × 29 ☐ (3 - 8) × 29
(b) 15 + 9 × 18 ☐ (15 + 9) × 18
(c) 23 × (17 - 9) ☐ 23 × 17 + 23 × 9
(d) (34 - 28) × 42 ☐ 34 × 42 - 28 × 42
Solution:
(a) (8 - 3) × 29 > (3 - 8) × 29 [(8 - 3) > (3 - 8)]
(b) 15 + 9 × 18 < (15 + 9) × 18 [15 < 15 × 18]
(c) 23 × (17 - 9) < 23 × 17 + 23 × 9 [(17 - 9) < (17 + 9)]
(d) (34 - 28) × 42 = 34 × 42 - 28 × 42 [(34 - 28) = (34 - 28)]