To times two decimal numbers together you take the sum, lets say....
0.4 x 0.37
First you times the numbers without the decimals so this would be
4 x 37
Which equals 148
so now you have the answer, count how many numbers are after the decimal points in the actual oringinal problem.
This prblem has 3 decimal places.
so you move the decimal point from the end of the number 148 3 spots to the left
so the answer is 0.148
the whole thing will look like this
0.4 x 0.37 = 0.148
Hope this helps :)
To multiply decimal numbers, the decimal point is ignored and the multiplication is done as though they were (large) integers. The last step is to put the decimal point into the answer by ensuring the same number of digits follow it as were following the decimal points in the numbers multiplied together; trailing zeros can be removed at this point.
"You have to count the spaces to the right to know how many spaces you have to put."
move the decimal down and over however many numbers are behind the decimal
To calculate 6.25 times 3.14, you simply multiply the two numbers together. 6.25 multiplied by 3.14 equals 19.625. This can be calculated by multiplying the whole numbers together (6 x 3 = 18) and then multiplying the decimal parts (0.25 x 0.14 = 0.035), and adding the results (18 + 0.035 = 19.625).
(-5)2 = 25. This is because multiplying two negative numbers together always leads to a positive number. Think about it like taking a negative amount of negative numbers, which switches them over to positive numbers. -52 = -25, because you are not multiplying negative 5 by negative 5, you are multiplying 5 by 5, and then multiplying that value by negative 1.
When multiplying a whole number by a decimal with two places, ignore the decimal point and multiply as if you were multiplying two whole numbers. After you get the answer, re-insert the decimal point so that the product has two decimal places.
why does multiplying numbers by ten move the decimal point to the right
It is not. When multiplying two whole numbers you need not be concerned about placing the decimal point in the answer.
0.10 = 1/10 so that multiplying by 0.10 is the same as dividing by 10.
The answer depends on the decimal numbers: there is no simple answer if one (or both) of the decimals is a non-terminating number.
That is not necessarily the case.2.5*4.3 = 10.75 which is larger than either of the numbers being multiplied.
To multiply decimal numbers, the decimal point is ignored and the multiplication is done as though they were (large) integers. The last step is to put the decimal point into the answer by ensuring the same number of digits follow it as were following the decimal points in the numbers multiplied together; trailing zeros can be removed at this point.
Is the result of multiplying two numbers together.
The product of two numbers is the answer to multiplying the two numbers together.
"You have to count the spaces to the right to know how many spaces you have to put."
When multiplying a whole number by a decimal with two places, ignore the decimal point and multiply as if you were multiplying two whole numbers. After you get the answer, re-insert the decimal point so that the product has two decimal places.
When multiplying decimals, the decimal points are not only not aligned they are completely removed from the numbers to leave a multiplication of whole numbers which is done. Then the decimal point is put back into the answer by counting how many digits in total were after the decimal points in the original numbers and making the answer have the same number of digits after the decimal point. Example: 1.23 x 45.6 → 123 x 456 = 56088 1.23 has 2 digits after the decimal point, 45.6 has 1 digit after the decimal point making a total of 2 + 1 = 3 digits after the decimal point in the question, so there must be 3 digits after the decimal point in the answer → 1.23 x 45.6 = 56.088 Second example: 1.25 x 3.4 → 125 x 34 = 4250 2 digits + 1 digit = 3 digits in total in question must be after decimal point in answer: → 1.25 x 3.4 = 4.250 but normally any zeros that come at the end of a number after a decimal point are not written, so this would normally be written as: 1.25 x 3.4 = 4.25 A decimal number is a whole number divided by a power of 10, that is 10, 100, 1000, etc. This means that a decimal number can be written as an improper fraction with a power of 10 as the bottom number. So for the first example: 1.23 = 123/100 45.6 = 456/10 Multiplying the decimals together is the same as multiplying the two fractions together, which is done by multiplying the top numbers together and multiplying the bottom numbers together: 1.23 x 45.6 = 123/100 x 456/10 = (123 x 456)/(100 x 10) = 56088/1000 = 56.088