Question

Barbara used the distributive property to write an expression that is equivalent to 7 d 63. Her work is shown below. The greatest common factor is 7 so 7 d 63 = 7 (d 63) What was Barbara’s error? Barbara wrote (d 63) instead of 63 d). Barbara wrote (d 63) instead of (d 9). Barbara wrote (d 63) instead of (d 56). Barbara wrote (d 63) instead of (10 d).

Answer 1

The error that Barbara's made is that Barbara wrote (d+63) instead of (d+9).

What is Distributive property?

The distributive property of multiplication is that when two numbers are added such as (a+b) and multiplied by a third number such as x, then the result will be the sum of multiplication of the third number with the first number (xa) and the third number with the second number (xb).

x(a+b) = xa + xb,

The expression which is equal to the expression 7d+63 can be written as,

$7d+63\\\\=7(d+9)$

Hence, the error that Barbara's made is that Barbara wrote (d+63) instead of (d+9).

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