Question

Find the value:
497 x 37 + 497 x 13
Make sure you state the formula and property with an explanation.

Answer 1

Answer:

$(497)(37)+(497)(13) \\ =18389+(497)(13) \\ =18389+6461 \\ = 24850$

N.B : (3)(4) :- These double brackets means multiplication

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Answer 2

Answer:  24850, Distribution property

497 x 37 + 497 x 13

there are 2 terms here, one is

497 x 37 and the other is

497 x 13

there is one thing common on both of these, yes it's the number 497, so we can take the common out using the distribution property, so we will get it as

497 (37 + 13)  now we add 37 + 13 since it's in the brackets

497 (50) so

497 x 50 = 24850

the property used here is distribution property/method

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