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).
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.
1010 When multiplying numbers with powers - you add the powers together.
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.
Multiplying a whole number by 10 adds a zero onto the end of the number. For example, 7 x 10 = 70.Multiplying a decimal number by 10 moves the decimal point one place to the right. For example, 3.75 x 10 = 37.5.
10
Yes, you can use the rule for multiplying by the reciprocal to divide whole numbers. To divide 10 by 2, you can rewrite the division as multiplying by the reciprocal of 2. This means you would calculate (10 \times \frac{1}{2}), which equals 5. Thus, dividing by 2 is the same as multiplying by its reciprocal.
because there the same
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.
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).
0.10 = 1/10 so that multiplying by 0.10 is the same as dividing by 10.
4.9 = 49/10. We can transform it into fraction by multiplying and dividing by 10.
by dividing the hemoglobin in grams per deciliter by the hematocrit, then multiplying by 100
1010 When multiplying numbers with powers - you add the powers together.
1
Since 0.1 is the reciprocal of 10, the two operations are the same.
When multiplying numbers with powers, you just add the powers together.10-6 x 107 = 101101 = 10