Question

32 + 24 = 55 ( + ) Write 32 + 23 as a product of the two factors using the GCF and the distributive property.

Answer 1

The right presentation of the question is:

(a) Write 32 + 24 as a product of the two factors using the GCF and the distributive property.

(b) Write 32 + 23 as a product of the two factors using the GCF and the distributive property.

Answer:

`(a)\ 32 + 24 = 8*7`

`(b)\ 32 + 23 = 5*11`

Explanation:

Solving (a):

First, we take the GCF of 32 and 24

`32 = 2 * 2 * 2 * 2 * 2`

`24 = 2 * 2 * 2 * 3`

Take common factors:

`GCF = 2 * 2 * 2`

`GCF = 8`

So, we factorize 32 and 24 using 8.

The expression becomes:

`32 + 24 = 8(4 + 3)`

Simplify the expression in bracket

`32 + 24 = 8(7)`

Remove bracket

`32 + 24 = 8*7`

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Solving (b):

`32 + 23 =`

32 and 23 do not have a common factor, so we have to start by writing 32 as 30 + 2

`32 + 23 = 30 + 2 + 23`

Add 2 to 23

`32 + 23 = 30 + 25`

Take the GCF of 30 and 25

`30 = 2 * 3 * 5`

`25 = 5 * 5`

Take common factors:

`GCF = 5`

So, we factorize 30 and 25 using 5.

`32 + 23 = 5(6 + 5)`

Simplify the expression in bracket

`32 + 23 = 5(11)`

Remove bracket

`32 + 23 = 5*11`