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

Respuesta :

MattieG
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 [tex]3\times 5=15[/tex] by writing and solving [tex]\frac{15}{5}=3[/tex].

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:

[tex]\frac{15}{5}\times 5=3\times 5[/tex]

[tex]15=3\times 5[/tex]

[tex]3=\frac{15}{5}[/tex]

Therefore, both equations represent same quantity.

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