College

Match each expression on the left with an equivalent expression on the right.

[tex]
\[
\begin{array}{lc}
132 \div 11 & 28 \div 2 \\
\frac{126}{7} & \frac{28}{2} \\
7 \sqrt{98} & \frac{48}{3} \\
\text{sixty-four divided by four} & 36 \div 2 \\
& 36 \div 3 \\
\end{array}
\]
[/tex]

Answer :

Sure, let's find the equivalent expression for each item on the left by evaluating them step-by-step and matching them with the items on the right:

1. [tex]$132 \div 11$[/tex]:
- Calculate: [tex]\(132 \div 11 = 12\)[/tex]
- Match with: [tex]\(36 \div 3 = 12\)[/tex]

2. [tex]$\frac{126}{7}$[/tex]:
- Calculate: [tex]\(126 \div 7 = 18\)[/tex]
- Match with: [tex]\(36 \div 2 = 18\)[/tex]

3. [tex]$7 \sqrt{98}$[/tex]:
- Calculate:
- First simplify [tex]\( \sqrt{98} \)[/tex]. Since [tex]\(98 = 49 \times 2\)[/tex] and [tex]\(\sqrt{49} = 7\)[/tex], we have [tex]\(\sqrt{98} = 7\sqrt{2}\)[/tex].
- So, [tex]\(7 \times \sqrt{98} = 49 \sqrt{2}\)[/tex], which doesn’t match any simple division expression.

4. Sixty-four divided by four:
- Calculate: [tex]\(64 \div 4 = 16\)[/tex]
- Match with: [tex]\(48 \div 3 = 16\)[/tex]

Now, we have matched each expression from the left column to its equivalent in the right column:

- [tex]$132 \div 11$[/tex] matches [tex]$36 \div 3$[/tex].
- [tex]$\frac{126}{7}$[/tex] matches [tex]$36 \div 2$[/tex].
- [tex]$7 \sqrt{98}$[/tex] does not have a straightforward match in the given options.
- Sixty-four divided by four matches [tex]$48 \div 3$[/tex].

Let me know if you need any more help!

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