Comparing Powers of Ten

The video tutorial explains how to determine how many times larger 8.75 * 10^-2 is compared to 4.35 * 10^-4. It involves estimating the numbers, calculating the difference in exponents, and performing the final calculation to find that 8.75 * 10^-2 is approximately 200 times larger than 4.35 * 10^-4.

What is the approximate relationship between the numbers 8.75 and 4.35?

• 8.75 is about 3 times larger than 4.35

• 8.75 is about 2 times larger than 4.35

• 8.75 is about 4 times larger than 4.35

• 8.75 is about 1.5 times larger than 4.35

How do you calculate the difference in powers of ten between 10^-2 and 10^-4?

• Divide the exponents

• Add the exponents

• Subtract the exponents

• Multiply the exponents

What is the result of subtracting the exponents -2 and -4?

• 10^2

• 10^6

• 10^-6

• 10^-2

What does the difference in powers of ten indicate about the size comparison?

• The first number is about 100 times larger

• The first number is about 2 times larger

• The first number is about 200 times larger

• The first number is about 20 times larger

How is the final result of the comparison expressed in simpler terms?

• As a decimal

• As a fraction

• As a whole number

• As a percentage