Sure! Let's solve the equation [tex]\( 7 \times 13 = 7 \times (\_ + 10) \)[/tex] step by step.
1. First, evaluate the left-hand side of the equation:
[tex]\[
7 \times 13 = 91
\][/tex]
2. Now, the equation becomes:
[tex]\[
91 = 7 \times (\_ + 10)
\][/tex]
3. Next, divide both sides of the equation by 7 to isolate the expression inside the parentheses on the right-hand side:
[tex]\[
\frac{91}{7} = \_ + 10
\][/tex]
[tex]\[
13 = \_ + 10
\][/tex]
4. To find the missing number, subtract 10 from both sides of the equation:
[tex]\[
13 - 10 = \_
\][/tex]
[tex]\[
3 = \_
\][/tex]
Therefore, the correct number to fill in the blank is [tex]\( 3 \)[/tex].
So the completed equation is:
[tex]\[
7 \times 13 = 7 \times (3 + 10)
\][/tex]
