Multiply by powers of 10 up to 1000 by moving the digits the correct number of columns to the left
Home / 6th grade / Number / Decimals / Multiply decimals by 10 100 1000
Due to the fact that our number system is base 10, multiplying decimal numbers by powers of 10 is relatively simple. The digits of the number move around, and there are maybe zeros to add or remove, but the other digits all stay the same. Remember that when we multiply numbers by any number greater than 1 they get bigger so check this once your done.
Let's get our terms straight.
factor x factor = product
23.45 x 100 = 2345
So for the sum 23.45 x 100 = 2345,
When we multiply by 10 the product is 10x bigger than the initial factor.
When we multiply by 1000 the product is 1000x bigger than the factor.
Note that in the example above, the decimal point of the product is not written down because the product is an integer.
Write the digital factor to be multiplied by a power of 10 down. Keep the digital point still and move all the digits of the digital factor to the left around it. If we are multipling by 10, all the digits move 1 column to the left. If we are multipling by 100, all the digits will move 2 columns to the left, and for multipling by 1000, it is 3 columns.
7.438 x 10 = 74.38
7.438 x 100 = 743.8
7.438 x 1000 = 7438
Another method is to keep the digits of the decimal number static and move the decimal point to the right. If the factor is 100 move it two places to the right, one for each of the zeros in 100. If you are not writing numbers down, this can be an easier method to visualise in your head.
0.0671 x 10 = 0.671
0.0671 x 100 = 6.71
0.0671 x 1000 = 67.1
Multiplying by a number greater than 1? Then product should be bigger than the original number!
Remember too that multiplying and dividing are inverse operations so you can always check a multiplication by dividing the product by whatever power of 10 you multiplied by and make sure you get the original value returned.
0.0671 x 100 = 6.71
6.71 รท 100 = 0.0671
Below is a table showing the first 6 question answer pairs for the topic "Multiply decimals by 10 100 1000" as used in the lessons for this topic. Our games and tests for the topic use these 6 items plus 10 additional question answer pairs.
The topic "Multiply decimals by 10 100 1000" is in the category Number for 6th grade (ages 11 to 12).
Home / 6th grade / Number / Decimals / Multiply decimals by 10 100 1000
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