Table of Contents
How do you find the product of decimals?
Summary: When multiplying decimals, we use the following procedure:
- Estimate the product.
- Multiply to find the product. Multiply the decimals as if they were whole numbers. Ignore the decimal point.
- Compare your estimate with your product to verify that your answer makes sense.
How do you multiply decimals without whole numbers?
How to Multiply Decimals
- Multiply normally, ignoring the decimal points.
- Then put the decimal point in the answer – it will have as many decimal places as the two original numbers combined.
What number can we multiply a decimal by to move the decimal to the right?
If you multiply a decimal by 10, the decimal point will move one place to the right. If you divide a decimal by 10, the decimal point will move one place to the left. If you multiply or divide by any power of 10, it will move a number of spaces equal to the number of 0’s.
When multiplying decimals Why is the product smaller?
Multiplying decimals by decimals When multiplying a number by a decimal less than one, the product will be smaller than the number being multiplied. This is because we are finding a fractional amount of a quantity. For example, 0.1 x 0.8 = 0.08, because the question is asking us to find one tenth of eight tenths.
How do you move 3 decimal places?
Example
- Round this number to 3 decimal places.
- Count along the first 3 numbers to the right of the decimal point.
- Count along the first 3 numbers to the right of the decimal point.
- Count along the first 3 numbers to the right of the decimal point.
- Look at the next number (the 4th number after the decimal place)
When you multiply a positive decimal less than 1 by a decimal greater than 1 will the result always be greater than 1?
Whenever you multiply a positive number by a factor greater than 1, the product will be larger than the original number. Both of Ellen’s choices illustrate this principle. Whenever you multiply a positive number by a positive factor less than 1, the product will be smaller than the original number.