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Byju's Answer
Standard VI
Mathematics
Place Value
Rewrite each ...
Question
Rewrite each of the following examples in the each form a (b + c).
(1) 15 × 3 + 15 × 7
(2) 9 × 38 + 9 × 12
(3) 125 ×69 + 125 × 31
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Solution
(1) a × b + a × c = a (b + c)
∴ 15 × 3 + 15 × 7 = 15 (3 + 7)
(2) a × b + a × c = a (b + c)
∴ 9 × 38 + 9 × 12 = 9 (38 + 12)
(3) a × b + a × c = a (b + c)
∴ 125 ×69 + 125 × 31 = 125 (69 + 31)
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Q.
Simplify. [Use the formula a × b + a × c = a (b + c)]
(1) 9 × 38 + 9 × 12
(2) 125 × 69 + 125 × 31
(3) 594 × 210 + 594 × 290
(4) 16 × 81 + 34 × 81
Q.
Rewrite each of the following examples in the form a × b + a × c.
(1) 9 (3 + 14)
(2) 25 (23 + 16)
(3) 20 (58 + 109)
Q.
Simplify the following expressions:
(15) 210 ÷ [125 – {5 + 3(14 – 9)}]
Q.
Determine each of the following products:
(i) 12 ☓ 7
(ii) (−15) ☓ 8
(iii) (−25) ☓ (−9)
(iv) 125 ☓ (−8)
Q.
If (31 + 15) + x = 31 + (15 + 23), then by associativity of addition x =
(a) 46 (b) 38 (c) 23 (d) 69
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