Sure, let's solve the problem step-by-step using the distributive property.
The problem given is:
[tex]\[ 14 \times (4 + 9) \][/tex]
According to the distributive property, the multiplication of a number with a sum can be expressed as the sum of the multiplication of the number with each of the addends separately. Mathematically, [tex]\[ a \times (b + c) = a \times b + a \times c \][/tex].
In this case, [tex]\( a = 14 \)[/tex], [tex]\( b = 4 \)[/tex], and [tex]\( c = 9 \)[/tex].
Now let's use the distributive property:
[tex]\[ 14 \times (4 + 9) = 14 \times 4 + 14 \times 9 \][/tex]
We calculate each multiplication separately:
1. [tex]\( 14 \times 4 = 56 \)[/tex]
2. [tex]\( 14 \times 9 = 126 \)[/tex]
Next, we add these results together:
[tex]\[ 56 + 126 = 182 \][/tex]
Therefore, the answer is [tex]\( 182 \)[/tex].
Among the given choices:
- 182
- 70
- 47
- 65
- None of these answers are correct
The correct one is [tex]\( 182 \)[/tex].
