Question
12 Write the unknown number \( 7 \times 8=7 \times(2 \times m) \)
Ask by Gross Moran. in the United States
Dec 09,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
The unknown number \( m \) is 4.
Solution
To solve the equation \( 7 \times 8 = 7 \times (2 \times m) \), we can start by simplifying both sides.
First, we can divide both sides of the equation by 7 (assuming \( 7 \neq 0 \)):
\[
8 = 2 \times m
\]
Next, we can solve for \( m \) by dividing both sides by 2:
\[
m = \frac{8}{2} = 4
\]
Thus, the unknown number \( m \) is \( 4 \).
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Simplify this solution Extra Insights
To solve for the unknown number \( m \), start by simplifying the equation \( 7 \times 8 = 7 \times (2 \times m) \). Since both sides have a common factor of 7, you can safely divide both sides by 7, which gives you \( 8 = 2 \times m \). Now, to isolate \( m \), divide both sides by 2. So, \( m = 8 / 2 \), which results in \( m = 4 \). Now, you’ve got \( m = 4 \). It’s always great to double-check your work. You could plug \( m \) back into the original equation to ensure both sides are equal! When you find \( 7 \times (2 \times 4) \), it still equals \( 56 \). Checking your math like this is a reliable habit!
