# Multiplying and dividing with powers of 10

5 videos

2 skills

Learn how to shift the decimal point when you multiply and divide by powers of ten.

### Exponents and powers of zero patterns

VIDEO
6:56 minutes

Now that we understand how to interpret an exponent and how the patterns in zeros are related to the exponent, we can solve more complicated problems!

### Multiplying a decimal by a power of 10

VIDEO
3:47 minutes

You will notice in this word problem that moving the decimal to the right the same number of times as the number of zeros you multiplying by gets you the answer you desire. Check this out!

### Dividing a decimal by a power of 10

VIDEO
3:18 minutes

When we were multiplying, we moved the decimal to the right for each power of ten. Guess what? When dividing, we move the decimal to the left for each power of ten.

### Dividing a decimal by a power of 10: shortcut

VIDEO
1:51 minutes

Holy cow! A shortcut? Yep. For each ten you multiply or divide by, just shift that decimal to the right or left. Watch this and be amazed.

### Multiplying and dividing by powers of 10

PRACTICE PROBLEMS

Practice multiplying and dividing by powers of 10.

### Understanding moving the decimal

PRACTICE PROBLEMS

Give the number of tens a number is being multiplied or divided by when the decimal is moved to the left or right.

### Fractions as division by power of 10

VIDEO
5:07 minutes

Keep in mind that a fraction is nothing more than a division problem. So if the denominator is 10 (or 100...or 1000), then all we need to do move the decimal in the numerator that number of zeros to the left.