Question

d. 6×6=36

1. which shows a correct method for finding 7×12?

a. 7×10 + 7×2
b. 7×3 + 7×4
c. 7×1 + 7×2
d. 7×1 + 1×2

Explanation:

Step1: Recall Distributive Property

The distributive property of multiplication over addition states that \(a\times(b + c)=a\times b + a\times c\). For \(7\times12\), we can write \(12\) as \(10 + 2\).

Step2: Apply Distributive Property

Using the distributive property with \(a = 7\), \(b = 10\), and \(c = 2\), we get \(7\times(10 + 2)=7\times10+7\times2\).

Step3: Check Other Options

• Option B: \(7\times3 + 7\times4=7\times(3 + 4)=7\times7

eq7\times12\).

• Option C: \(7\times1+7\times2=7\times(1 + 2)=7\times3

eq7\times12\).

• Option D: \(7\times1 + 1\times2=7 + 2 = 9

eq7\times12\).

Answer:

A. \(7\times 10 + 7\times 2\)