Tia's teacher asked her to find the product of 8 and 207 in her head. Which of the following describes the best way for Tia to mentally calculate the answer?

Multiply 8 by 210 and subtract 8 times 7.
Multiply 8 by 200 and add 8 times 7.
Multiply 8 by 200 and subtract 8 times 7.

Respuesta :

Answer:

Multiply 8 by 200 and add 8 times 7.

Step-by-step explanation2

Multiply 8 by 200 and add 8 times 7.

We can separate 207 into 200 + 7.

To multiply by 8:  8*(200+7)

So the problem is made easier since we can do both calculations in our head and add the result:

8*200 = 1600

8*7 = 56

1600 + 56 = 1656

This approach is both easy and correct.

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The other two options are both more complex AND incorrect:

Multiply 8 by 210 and subtract 8 times 7.   The result is 1624.  This is incorrect.

Multiply 8 by 200 and subtract 8 times 7.    The result is 1544.  This is also incorrect.

In both these cases, the math is also harder, since subtracting 56 from the product of either 8*210 or 8*200 is more difficult.

Answer:

Step-by-step explanation:

Multiply 8 x 200 then multiply 8 x 7 and add them together.