Question
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Match each expression on the left with an equivalent expession on the right. Some options on the right will be used more than once. \( \begin{array}{l}42.200 \\ 210.40 \\ 900 \times 9\end{array} \) \( \begin{array}{l}8,100\end{array} \) \( 30(280) \)

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Jan 24,2025

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Answer

\( 900 \times 9 \) matches with \( 8,100 \).

Solution

Let's evaluate the expressions on the left side and match them with the equivalent expressions on the right side. 1. **Evaluate \( 900 \times 9 \)**: \[ 900 \times 9 = 8100 \] 2. **Evaluate \( 30(280) \)**: \[ 30 \times 280 = 8400 \] Now, let's summarize the evaluations: - \( 42.200 \) remains as \( 42.200 \). - \( 210.40 \) remains as \( 210.40 \). - \( 900 \times 9 = 8100 \). - \( 30(280) = 8400 \). Now, we can match the expressions: - \( 42.200 \) does not match any expression on the right. - \( 210.40 \) does not match any expression on the right. - \( 900 \times 9 \) matches with \( 8,100 \). - \( 30(280) \) does not match any expression on the right. Thus, the only match is: - \( 900 \times 9 \) matches with \( 8,100 \). The final matches are: - \( 900 \times 9 \) → \( 8,100 \)

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Mind Expander

Let’s break it down! For the expression \( 42.200 \), it’s equivalent to \( 8,100 \) since \( 42.200 = 42.2 \) and that equates to approximately \( 42.2 \times 100 \), or \( 8,100 \) when multiplied properly. Coming to \( 210.40 \), with a bit of multiplication, \( 30(280) \) fits perfectly because \( 30 \times 280 = 8,400 \) and thus does not match. Therefore, we conclude \( 210.40 \) doesn’t find its match here, but \( 900 \times 9 = 8,100 \), sealing the deal with \( 8,100 \) for both. To write it out: - \( 42.200 \) matches with \( 8,100 \) - \( 900 \times 9 \) matches with \( 8,100 \) - \( 30(280) \) doesn’t quite fit with the selections given.

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