Question

4 n8o.3.2 identify the sum of two composite whole numbers having a common factor as a common factor multiplied by the sum of two whole numbers. (l3) express the sum of 84 and 96 using a common factor in the form of a(b+c). express the sum of 72 and 90 using a common factor in the form of a(b+c).

Explanation:

For the sum of 84 and 96:

Step1: Find GCF of 84 and 96

Factorize 84: \(84 = 2^2\times3\times7\)
Factorize 96: \(96 = 2^5\times3\)
GCF is \(2^2\times3 = 12\).

Step2: Divide by GCF

\(84\div12 = 7\), \(96\div12 = 8\).

Step3: Express in \(a(b + c)\)

\(84 + 96 = 12(7 + 8)\).

For the sum of 72 and 90:

Step1: Find GCF of 72 and 90

Factorize 72: \(72 = 2^3\times3^2\)
Factorize 90: \(90 = 2\times3^2\times5\)
GCF is \(2\times3^2 = 18\).

Step2: Divide by GCF

\(72\div18 = 4\), \(90\div18 = 5\).

Step3: Express in \(a(b + c)\)

\(72 + 90 = 18(4 + 5)\).

Answer:

s:

• Sum of 84 and 96: \(12(7 + 8)\)
• Sum of 72 and 90: \(18(4 + 5)\)