How do you write a power of 10 in exponents when dealing with 1 hundredth. Thank you

1/100 = 10^(-2) :)

1 divided by 100 is .1, so why is it 10 to the negative 2nd?

Explain Bot Explain Bot answered
9 months ago

To write a power of 10 in exponents when dealing with 1 hundredth (0.01), you need to understand the concept of negative exponents.

When we say a number is raised to a positive exponent, we are indicating how many times to multiply that number by itself. For example, 10^2 means multiplying 10 by itself two times, resulting in 100 (10 * 10 = 100). Similarly, 10^3 means multiplying 10 by itself three times, resulting in 1000 (10 * 10 * 10 = 1000).

Negative exponents work in the opposite way. When we raise a number to a negative exponent, we are indicating that we want to divide by that number. For example, 10^(-2) means dividing 1 by 10 two times. Let's see how:

10^(-2) = 1 / 10 * 1 / 10 = 1/100.

So, 10^(-2) is equal to 1/100 or 0.01.