Which correctly explains how to use place value and the distributive property to find the product of 742 and 9?
a) Write 742 as 7 + 40 + 200. Multiply each addend by 9. Then add the three products to get 2,223.
b) Write 742 as 70 + 400 + 2. Multiply each addend by 9. Then add the three products to get 4,248.
c) Write 742 as 700 + 4 + 20. Multiply each addend by 9. Then add the three products to get 6,516.
d) Write 742 as 700 + 40 + 2. Multiply each addend by 9. Then add the three products to get 6,678.

The statement which correctly explain how to use place value an distributive property for finding the product of 742 and 9 is " write 742 as 700 + 40 + 2. And multiply each addend by 9. Then add the three products to get 6,678".

What is distributive property?

The law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac is called distributive law.

What is place value?

Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.

According to the given question

We have to find the product of 742 and 9.

Now, the place value of 7 in 742 is hundred.

Place value of 4 in 742 is tens.

Place value of 2 in 742 is ones

Therefore, 742 can be written as

742 = 700 + 40 + 2

So, the product of 742 and 9 by distributive property is given by

742 × 9 = (700 + 40 + 2) × 9

742 × 9 = 700 × 9 + 40 × 9 + 2 × 9

742 × 9 = 6300 + 360 + 18

742 × 9 = 6678

Hence, the statement which correctly explain how to use place value an distributive property for finding the product of 742 and 9 is " write 742 as 700 + 40 + 2. And multiply each addend by 9. Then add the three products to get 6,678".

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