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7. In which number below does the \( \mathbf{2} \) 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 Lowe Mccoy. in the United States
Jan 21,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The digit \( 2 \) in \( 68,\!047.532 \) is in the thousandths place, so it has a value of 2 thousandths.

Solution

To determine in which number the digit \( 2 \) has a value of **2 thousandths**, we need to identify the place value of the digit \( 2 \) in each option. In decimal numbers, the place values after the decimal point are as follows: - **Tenths** (\(10^{-1}\)): first digit after the decimal - **Hundredths** (\(10^{-2}\)): second digit after the decimal - **Thousandths** (\(10^{-3}\)): third digit after the decimal **Let's examine each option:** - **A. \( 412,095.36 \)** - Decimal part: **.36** - The digit \( 2 \) does not appear here. - **B. \( 25,394.07 \)** - Decimal part: **.07** - The digit \( 2 \) does not appear here. - **C. \( 370,468.521 \)** - Decimal part: **.521** - The digit \( 2 \) is in the **hundredths** place (\(0.02\)), not the thousandths. - **D. \( 68,047.532 \)** - Decimal part: **.532** - The digit \( 2 \) is in the **thousandths** place (\(0.002\)). **Conclusion:** The number **\( 68,047.532 \)** has the digit \( 2 \) in the thousandths place, giving it a value of 2 thousandths. **Answer:** **D.** \( 68,\!047.532 \)

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Extra Insights

In the number 370,468.521 (option C), the digit \( \mathbf{2} \) is located in the thousandths place. When we break it down, this means it represents \( 0.002 \), which is indeed 2 thousandths! So, let's visualize it! In numbers, the decimal system is a bit like a treasure map; each place value has its due. The "thousandths" is the third spot right of the decimal. Thus, when you see a \( \mathbf{2} \) there, it's your magical key to understanding just how little or big that number really is!

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