Question

According to the distributive law of multiplication over addition, for any 3 whole numbers a, b and c;
$a\times (b+c)=$ _________

• A. $(a\times c)-(b\times c)$
• B. $a-(b\times c)-b$
• C. $(a\times b)+(a\times c)$
• D. $(a\times b)-(a\times c)$

Answer 1

The correct option is C $(a\times b)+(a\times c)$

The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.

According to the property, for any whole numbers a, b and c ;
$a\times (b+c)=(a\times b)+(a\times c)$

Ex:
$2(3+4)$ = $2\times 3+2\times 4$
$2\times 7$ = $6+8$
14 = 14