Question

which expression is not equivalent to $100 + 20$?
answer
$\bigcirc$ $5(20 + 4)$ $\bigcirc$ $2(50 + 9)$
$\bigcirc$ $2(50 + 10)$ $\bigcirc$ $10(10 + 2)$
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Explanation:

First, calculate the value of \(100 + 20\), which is \(120\). Then, we will calculate the value of each option:

Step 1: Calculate \(100 + 20\)

\(100 + 20 = 120\)

Step 2: Calculate \(5(20 + 4)\)

First, calculate the expression inside the parentheses: \(20 + 4 = 24\). Then multiply by 5: \(5\times24 = 120\)

Step 3: Calculate \(2(50 + 9)\)

First, calculate the expression inside the parentheses: \(50 + 9 = 59\). Then multiply by 2: \(2\times59 = 118\)

Step 4: Calculate \(2(50 + 10)\)

First, calculate the expression inside the parentheses: \(50 + 10 = 60\). Then multiply by 2: \(2\times60 = 120\)

Step 5: Calculate \(10(10 + 2)\)

First, calculate the expression inside the parentheses: \(10 + 2 = 12\). Then multiply by 10: \(10\times12 = 120\)

Answer:

The expression \(2(50 + 9)\) is not equivalent to \(100 + 20\) because its value is \(118\) while \(100 + 20 = 120\). So the answer is \(2(50 + 9)\) (the option with \(2(50 + 9)\)).