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Oh, dude, multiplying and dividing by powers of 10 is like the easiest math trick in the book. When you multiply, you just move the decimal to the right as many times as there are zeros in the power of 10. And when you divide, you move the decimal to the left. It's like magic, but with numbers.
For positive powers:
The rule is to move the digits in the place value columns left (for multiplication) or right (for division) the same number of columns as the power of 10.
However, on paper this is not easy to do so the effect on the decimal point relative to the digits is used instead: move the decimal point the same number of digits right (for multiplication) or left (for division); if there are less digits than required to be moved, insert zeros until the decimal point has moved the required number of digits.
If the power is negative reverse the direction of movement (eg with moving the decimal point, to multiply move the decimal point left and divide by moving the decimal point to the right).
The general rule for multiplication is to move the decimal point to the right, by as many digits as specified in the exponent (to the left for negative exponents). For division, it's the other way round - move the decimal point to the left for positive exponents, to the right for negative exponents. Examples:5.321 x 100 = 532.1 (exponent is 2)
5.321 x 0.01 = 0.05321 (exponent is -2)
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Is dividing by 100 the same as multiplying by 0.1?
10
Why Multiplying by 0.1 would be the same as dividing by 10?
x * 0,1 = x/10 This is given. x*0,1 = 0,1x This is calculated. x/10 = 0,1x This is calculated. 0,1x = 0,1x Evicence is stated, task solved. Multiplying with 0,1 is the same as saying multiplying with 1/10. Multiplying with 1/10 is the same as dividing with 10.
What is 10 to the eighth power times 10 to the second power?
1010 When multiplying numbers with powers - you add the powers together.
How is dividing decimals different than dividing whole numbers?
in dividing decimals you never get a remainder and in dividing whole numbers you do. +++ More to the point perhaps, you are working in powers of 10 all the time.
What number divided by five equals 10?
The opposite of dividing is multiplying. To find your number, work backwards. Multiply 10 times 5. That is your number.
Is dividing by 100 the same as multiplying by 0.1?
10
How is multiplying by 10 and dividing by 2 the same as multiplying by 5?
because there the same
Why Multiplying by 0.1 would be the same as dividing by 10?
x * 0,1 = x/10 This is given. x*0,1 = 0,1x This is calculated. x/10 = 0,1x This is calculated. 0,1x = 0,1x Evicence is stated, task solved. Multiplying with 0,1 is the same as saying multiplying with 1/10. Multiplying with 1/10 is the same as dividing with 10.
Why does multiplying numbers by 10 move the decimal to the right but multiplying numbers By .10 you move the decimal to the left?
0.10 = 1/10 so that multiplying by 0.10 is the same as dividing by 10.
What is a rule that works for multiplying powers of the same base in exponents?
To multiply powers with the same base, you add the exponents. For example, 10^2 x 10^3 = 10^5. Similarly, to divide powers with the same base, you subtract the exponents. For example, 10^3 / 10^5 = 10^(-2).
How do you turn 4.9 to a fraction?
4.9 = 49/10. We can transform it into fraction by multiplying and dividing by 10.
How do you improve mean corpuscular hemoglobin concentration?
by dividing the hemoglobin in grams per deciliter by the hematocrit, then multiplying by 100
What is 10 to the eighth power times 10 to the second power?
1010 When multiplying numbers with powers - you add the powers together.
Why does multiplying numbers by 10 move the decimal point to the right but multiplying by .10 move the decimal point to the let?
1
What is the similarity between multiplying by 10 and dividing by 0.1?
Since 0.1 is the reciprocal of 10, the two operations are the same.
What is 10 to the power of -6 times 10 to the power of 7?
When multiplying numbers with powers, you just add the powers together.10-6 x 107 = 101101 = 10
What percent of 10 dollars is 3.20?
$3.20 is 32% of $10. This is found simply by dividing 10 by 3.2 and multiplying that by 100 to get the percent value.
