Nate solves the equation 3 times 5 equals 15 by writing and solving 15 divided by 5 equals 3. Explain why Nates method works

Verified Answer :

Nate's method works because dividing is the inverse operation of..... you guessed it multiplication!

Answer:

Both equations represent same quantity.

Step-by-step explanation:

We have been given that solves the equation \(3\times 5=15\) by writing and solving \(\frac{15}{5}=3\).

Nate's method works as both equation represent same quantity, which is 3 groups of 5 with a total of 15.

We can convert either of the given equation into other as:

\(\frac{15}{5}\times 5=3\times 5\)

\(15=3\times 5\)

\(3=\frac{15}{5}\)

Therefore, both equations represent same quantity.