arrange in descending order, 7.6×10^-25 , 7.2 ×10^-30 , 7.2 × 10^-25 , 7.2×10^-30

Answer 1

To arrange the numbers in descending order, we first compare the exponents of the powers of ten, since they determine the scale of the numbers.

1. \( 7.6 \times 10^{-25} \)
2. \( 7.2 \times 10^{-25} \)
3. \( 7.2 \times 10^{-30} \)
4. \( 7.2 \times 10^{-30} \)

Now, we notice that:

• \( 7.6 \times 10^{-25} \) is the largest because it has the highest coefficient (7.6) with the same exponent \( (-25) \).
• \( 7.2 \times 10^{-25} \) comes next because it has the same exponent \( (-25) \) but a lower coefficient (7.2).
• The next two numbers, \( 7.2 \times 10^{-30} \) and \( 7.2 \times 10^{-30} \), have the same coefficient and the smallest exponent \( (-30) \), making them the smallest.

Arranged in descending order, we have:

1. \( 7.6 \times 10^{-25} \)
2. \( 7.2 \times 10^{-25} \)
3. \( 7.2 \times 10^{-30} \)
4. \( 7.2 \times 10^{-30} \)

So, the complete ordered list is:

• \( 7.6 \times 10^{-25} \)
• \( 7.2 \times 10^{-25} \)
• \( 7.2 \times 10^{-30} \)
• \( 7.2 \times 10^{-30} \)