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10. B.E.S.T. TEST PREP select all the expressions that represent forty-one and nine tenths? \( \begin{array}{ll}\text { (A) } 41.9 & \text { (D) } 40+1+9 \\ \text { (B) } 41.09 & \text { (E) } 41 \frac{90}{10}\end{array} \)

Ask by Jimenez Lewis. in the United States
Jan 23,2025

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Answer

Only option A) 41.9 represents forty-one and nine tenths.

Solution

To determine which expressions represent **forty-one and nine tenths (41.9)**, let's evaluate each option: - **(A) 41.9** - This is a direct decimal representation of forty-one and nine tenths. **Correct.** - **(B) 41.09** - This represents forty-one and nine hundredths (41.09), not nine tenths. **Incorrect.** - **(D) 40 + 1 + 9** - Adding these numbers gives \(40 + 1 + 9 = 50\), not 41.9. **Incorrect.** - **(E) \(41 \frac{90}{10}\)** - Simplifying the fraction: \(\frac{90}{10} = 9\). So, \(41 + 9 = 50\), not 41.9. **Incorrect.** **Only option (A) correctly represents forty-one and nine tenths.** **Answer:** Only option A) 41.9 represents forty-one and nine tenths.

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The expression that correctly represents forty-one and nine tenths is (A) \(41.9\). This is because the decimal notation precisely captures the value of 41 plus 0.9, which is equal to 41.9. As for (E) \(41 \frac{90}{10}\), this expression also conveys the same value, as \( \frac{90}{10} \) simplifies to 9, resulting in \(41 + 9 = 41.9\). The other options either misrepresent the decimal or mistakenly include incorrect calculations.

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