# How do you divide by powers?

## How do you divide by powers?

To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.

How do you explain powers of 10?

A power of 10 is as many number 10s as indicated by the exponent multiplied together. Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.

What is the rule for dividing by 10?

When dividing by ten, move the decimal point one place to the left. Place value is the value of a digit based on its location in the number. When dividing by 100, move the decimal place two places to the left. And, remember, if there’s no decimal point, assume that the decimal falls at the end of the number.

### What is the power of 10 rule?

power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.

Can you divide exponents?

Correct answer: These exponents have the same base, x, so they can be divided. To divide them, you take the exponent value in the numerator (the top exponent) and subtract the exponent value of the denominator (the bottom exponent).

When dividing a number by 10 Where is the decimal point moved?

If there IS a decimal point, move it to the right the same number of places that there are 0s. When dividing by 10, 100, 1000 and so on, move the decimal point to the left as many places as there are 0s. So when dividing by 10, move the decimal point one place, by 100 two places, by 1000 three places and so on.

#### What is system based on powers of 10?

The metric system is a system of measurement based on the powers of 10 . First adopted in France in 1791 , the metric system has become widely used in many countries of the world, and is the main system used in science. The basic metric unit of length is the meter , equal to about 3.28 feet.

What are names of powers of 10?

Positive powers. In decimal notation the n th power of ten is written as ‘1’ followed by n zeroes.

• Negative powers. The sequence of powers of ten can also be extended to negative powers.
• Scientific notation. Scientific notation is a way of writing numbers of very large and very small sizes compactly when precision is less important.
• What does ‘to the power of 10’ mean?

A power of 10 is any of the integer powers of the number ten; in other words, ten multiplied by itself a certain number of times. Power of 10, Power of ten, or Powers of Ten may refer to: Power of 10 (U.S. game show), an American television show about guessing poll results.

## What is the third power of 10?

Each power is composed of ten of the one above. (The metric system is the system of measurement based on the powers of 10; see Lesson 4.) Strictly, 1 is not a power of 10. The first power of 10 is 10 itself. Its numeral is a 1 followed by one 0. The second power of 10 is 100; it has two 0’s. The third power has three 0’s. And so on.