To determine which set of numbers is arranged in descending order, we need to compare the scientific notation values.
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First, identify the numbers to compare:
- \( 7.6 \times 10^{-25} \)
- \( 7.2 \times 10^{-25} \)
- \( 7.2 \times 10^{-30} \)
- \( 7 \times 10^{-30} \)
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Convert them into a common base (if necessary) for comparison:
- \( 7.6 \times 10^{-25} \)
- \( 7.2 \times 10^{-25} \)
- \( 7.2 \times 10^{-30} = 0.000072 \times 10^{-25} \)
- \( 7 \times 10^{-30} = 0.00007 \times 10^{-25} \)
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Now compare the values:
- \( 7.6 \times 10^{-25} \) is the largest.
- \( 7.2 \times 10^{-25} \) is next.
- \( 7.2 \times 10^{-30} \) is equivalent to \( 0.000072 \times 10^{-25} \), which is less than \( 7.2 \times 10^{-25} \).
- \( 7 \times 10^{-30} \) is equivalent to \( 0.00007 \times 10^{-25} \), which is less than \( 7.2 \times 10^{-30} \).
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Now ordering them from largest to smallest:
- \( 7.6 \times 10^{-25} \)
- \( 7.2 \times 10^{-25} \)
- \( 7.2 \times 10^{-30} \)
- \( 7 \times 10^{-30} \)
Therefore, the set of numbers arranged in descending order is: 7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30.
So the correct response is: 7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30.
1 answer