Question

question
which expression is not equivalent to 100 + 20?
answer
5(20 + 4)
10(10 + 2)
2(50 + 10)
2(50 + 20)

Explanation:

Step1: Simplify \(100 + 20\)

First, calculate the value of \(100+20 = 120\).

Step2: Evaluate \(5(20 + 4)\)

Using the distributive property \(a(b + c)=ab+ac\), we have \(5\times20+5\times4=100 + 20=120\).

Step3: Evaluate \(10(10 + 2)\)

Using the distributive property, \(10\times10+10\times2 = 100+20 = 120\).

Step4: Evaluate \(2(50 + 10)\)

Using the distributive property, \(2\times50+2\times10=100 + 20=120\).

Step5: Evaluate \(2(50 + 20)\)

Using the distributive property, \(2\times50+2\times20=100 + 40 = 140\).

Answer:

\(2(50 + 20)\) (the option "2(50 + 20)")