Question
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7. In which number below does the 2 have a value of 2 thousandths? \( \begin{array}{ll}\text { A. } 412,095.36 & \text { B. } 25,394.07 \\ \text { C. } 370,468.521 & \text { D. } 68,047.532\end{array} \)

Ask by Schwartz Johnston. in the United States
Jan 21,2025

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Tutor-Verified Answer

Answer

The digit **2** has a value of **2 thousandths** in **68,047.532**. Answer: D. 68,047.532

Solution

To determine in which number the digit **2** has a value of **2 thousandths (0.002)**, we need to examine the position of the digit **2** in each option, specifically focusing on the thousandths place (the third digit to the right of the decimal point). Let's analyze each option: **A. 412,095.36** - Decimal part: **.36** - There are only two decimal places (tenths and hundredths). - **No digit 2** is present in the decimal part. **B. 25,394.07** - Decimal part: **.07** - There are only two decimal places (tenths and hundredths). - While there is a **2** in the whole number part (25,394), it does not relate to the thousandths place. **C. 370,468.521** - Decimal part: **.521** - Thousandths place: **1** (0.001) - The digit **2** is in the **hundredths place**, representing **0.02**. **D. 68,047.532** - Decimal part: **.532** - Thousandths place: **2** (0.002) - Here, the digit **2** is in the **thousandths place**, representing **0.002**. **Conclusion:** The number where **2** has a value of **2 thousandths** is: **D. 68,047.532** Answer: D. 68,047.532

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Beyond the Answer

In the question, we are looking for the number where the digit 2 represents 2 thousandths, which means 0.002. In the number 68,047.532 (Option D), the 2 is in the thousandths place, confirming that the 2 has a value of 2 thousandths. To clarify the place values, remember that after the decimal point, each place represents a fraction: tenths (0.1), hundredths (0.01), thousandths (0.001). So, always count places carefully!

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