Final answer:
To determine how many times greater 9.75×10^6 is than 1.25×10^2, divide 9,750,000 (the standard form of 9.75×10^6) by 125 (the standard form of 1.25×10^2), which equals 78,000. Thus, 9.75×10^6 is 78,000 times greater than 1.25×10^2.
Step-by-step explanation:
The student has asked, "How many times greater is 9.75×106 than 1.25×102?" To find out how many times greater one number is than another, you divide the larger number by the smaller one.
Let's first convert both numbers to standard form to make it easier:
- 9.75×106 = 9,750,000
- 1.25×102 = 125
Now we divide the larger number by the smaller number:
9,750,000 ÷ 125 = 78,000
So, 9.75×106 is 78,000 times greater than 1.25×102.