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Multiplying and dividing with powers of 10
Learn how to shift the decimal point when you multiply and divide by powers of ten.
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!
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!
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.
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.
Practice multiplying and dividing by powers of 10.
Give the number of tens a number is being multiplied or divided by when the decimal is moved to the left or right.
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.