Answer: Therefore, the set of numbers ordered from greatest to least is:
9.7 × 10^–2
9.6 × 10^–2
9.31 × 10^–2
9.74 × 10^–3
Explanation:
To order the set of numbers from greatest to least, we can compare the values of the numbers. Let's analyze the given numbers:
9.6 × 10^–2
9.74 × 10^–3
9.7 × 10^–2
9.31 × 10^–2
To compare these numbers, we need to focus on the exponent part (10^–2, 10^–3) first. A smaller exponent indicates a greater value. Therefore, let's start with the numbers with the smallest exponents:
9.74 × 10^–3 (the smallest exponent)
Next, let's compare the remaining numbers with 10^–2:
9.6 × 10^–2
9.7 × 10^–2
9.31 × 10^–2
Now, we can compare the coefficients (the values before the 10^–2):
9.6 × 10^–2
9.7 × 10^–2
9.31 × 10^–2
By comparing the coefficients, we can see that 9.7 is the greatest, followed by 9.6, and then 9.31.