Question 12 of 22intermediate🔧 ApplyFill in the Blanks16 marks

Fill in the blanks with numbers, and boxes by signs, so that the expressions on both sides are equal. (a) 3 × (6 + 7) = 3×63 \times 6 ☐ 3×73 \times 7 (b) (8 + 3) × 4 = 8×48 \times 4 ☐ 3×43 \times 4 (c) 3 × (5 + 8) = 3×53 \times 5 ☐ ___ (d) (9 + 2) × 4 = 9×49 \times 4 ☐ ___ (e) 3 × (___ + 4) = 3 × ___ + ___ (f) (___ + 6) × 4 = 13×413 \times 4 + ___ (g) 3 × (___ + ) = 3×53 \times 5 + 3×23 \times 2 (h) ( + ___) × ___ = 2×42 \times 4 + 3×43 \times 4 (i) 5 × (9 - 2) = 5×95 \times 9 ☐ 5 × ___ (j) (5 - 2) × 7 = 5×75 \times 7 ☐ 2 × ___ (k) 5 × (8 - 3) = 5×85 \times 8 ☐ ___ (l) (8 - 3) × 7 = 8×78 \times 7 ☐ 3×73 \times 7 (m) 5 × (12 - ___) = ___ ☐ 5 × ___ (n) (15 - ) × 7 = ___ ☐ 6×76 \times 7 (o) 5 × ( - ) = 5×95 \times 9 - 5×45 \times 4 (p) ( - ___) × ___ = 17×717 \times 7 - 9×79 \times 7

(i)
Answer

-, 2

(a)
Answer
(b)
Answer
(c)
Answer

+, 3×83 \times 8

(d)
Answer

+, 2×42 \times 4

(e)
Answer

Any number a, then 3 × a + 3×43 \times 4

(f)
Answer

13, then 6×46 \times 4

(g)
Answer

5 and 2

(h)
Answer

(2 + 3) × 4

(j)
Answer

-, 7

(k)
Answer

-, 5×35 \times 3

(l)
Answer
(m)
Answer

Any number a, then 5×125 \times 12 - 5 × a

(n)
Answer

6, then 15×715 \times 7 -

(o)
Answer

9 and 4

(p)
Answer

(17 - 9) × 7

Explanation

(a) Distributive property: 3 × (6 + 7) = 3×63 \times 6 + 3×73 \times 7 (b) Distributive property: (8 + 3) × 4 = 8×48 \times 4 + 3×43 \times 4 (c) 3 × (5 + 8) = 3×53 \times 5 + 3×83 \times 8 (d) (9 + 2) × 4 = 9×49 \times 4 + 2×42 \times 4 (e) 3 × (a + 4) = 3 × a + 12 (f) (13 + 6) × 4 = 13×413 \times 4 + 6×46 \times 4 (g) 3 × (5 + 2) = 3×53 \times 5 + 3×23 \times 2 (h) (2 + 3) × 4 = 2×42 \times 4 + 3×43 \times 4 (i) 5 × (9 - 2) = 5×95 \times 9 - 5×25 \times 2 (j) (5 - 2) × 7 = 5×75 \times 7 - 2×72 \times 7 (k) 5 × (8 - 3) = 5×85 \times 8 - 5×35 \times 3 (l) (8 - 3) × 7 = 8×78 \times 7 - 3×73 \times 7 (m) 5 × (12 - a) = 5×125 \times 12 - 5 × a (n) (15 - 6) × 7 = 15×715 \times 7 - 6×76 \times 7 (o) 5 × (9 - 4) = 5×95 \times 9 - 5×45 \times 4 (p) (17 - 9) × 7 = 17×717 \times 7 - 9×79 \times 7

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