"Moving the decimal point" is an easy way to accomplish some multiplications or divisions.
If you have a number and you need to multiply it by 10, you should go through
the process of multiplication as you've learned to do it, and then when you finish,
LOOK at the product you've produced and SEE that it's the same as the original
number but with its decimal point moved one place to the right. Then, forever after,
you'll remember that if you need to multiply a number by 10, simply move its decimal
point one place to the right, and your multiplication will be done.
If you have a number and you need to divide it by 10, you should go through the
process of division as you've learned to do it, and then when you finish, LOOK at
the quotient you've produced and SEE that it's the same as the original number
but with its decimal point moved one place to the left. Then, forever after, you'll
remember that if you need to divide a number by 10, simply move its decimal point
one place to the left, and your division will be done.
why does multiplying numbers by ten move the decimal point to the right
0.10 = 1/10 so that multiplying by 0.10 is the same as dividing by 10.
Multiplying by 1000
Once, to the right, for every power of ten.
1
why does multiplying numbers by ten move the decimal point to the right
Yes. You first multiply, then however many decimal places you were multiplying, you move over.
0.10 = 1/10 so that multiplying by 0.10 is the same as dividing by 10.
left
right
When you move a decimal point to the right you are multiplying a number by 10. For example, take 3.4. If you move the decimal point to the right you get 34. This is the same as: 3.4x10 = 34. Reversing this, you are dividing by 10 by moving the decimal point to the left. For example, take 73. If you move the decimal point to the right you get 7.3. This is the same as: 73/10 = 7.3. If you move a decimal point 2 spaces to the right, you are multiplying by 100, or more generally if you move the decimal point n spaces to the right, you are multiplying by 10^n.
Multiplying by 1000
Once, to the right, for every power of ten.
1
Yes, by a number between 0 and 1.
This is because we count in tens so that the place value of a digit is ten times the place value of the digit to its right.
Well, honey, you move the decimal to the right when you're multiplying by powers of 10. It's as simple as that. Just count how many zeros are in the power of 10 and shift that decimal over to the right that many places. Easy peasy lemon squeezy!