Question

00:00 The product of 64 and 13 can be rewritten as the sum of two products. Which expression is equal to 64 x 13? A. (60 x 13) + (60 x 4) B. (10 x 60) + (4 x 3) O C. (60 x 13) + (4 x 13) O D. (60 x 1) + (60 x 4)​

Answer 1

∴ The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13) ⇒ C

Explanation:

The product of two numbers can be put in the form of the sum of two products by using this rule, m × n = (a × n) + (b × n), where m = a + b

Let us solve the question using this rule

∵ We need to put 64 × 13 as the sum of two products

→ Let m = 64 and n = 13

∵ m = 64 and n = 13

∵ 64 = 60 + 4

∴ a = 60 and b = 4

→ By using the rule above

∵ m × n = (a × n) + (b × n)

∵ a = 60, b = 4, and n = 13

∴ 64 × 13 = (60 × 13) + (4 × 13)

∴ The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13)