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Why does moving the decimal point in the divisor and the dividend when dividing by a decimal work?
Wiki User
∙ 13y ago
Moving the decimal point one place to the right is the same as multiplying both, he numerator and the denominator by 10.
That is, you are effectively multiplying by 10/10 which equals 1. And since multiplication by 1 does not change the result, it is OK to do that. Similarly, moving two palces to the right is multiplying by 100/100. Similarly moving left.
Wiki User
∙ 13y ago
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What is 17.2 percent as a decimal?
Converting a percent to its decimal equivalent is done by dividing by 100 (the same as moving the decimal two places to the left): 17.2 ÷ 100 = 0.172
What is 92.2 percent in a decimal?
Converting a percent to its decimal equivalent is accomplished by dividing by 100 (the same as moving the decimal two places to the left): 92.2 ÷ 100 = 0.922
What is 8 and one fourth percent as a decimal?
Converting a percent to its decimal equivalent is accomplished by dividing by 100 (the same as moving the decimal two places to the left): 8.25 ÷ 100 = 0.0825
How do you divide a decimal by a decimal?
Make the divisor a whole number by moving the decimal point to the right and move the decimal point in the dividend to the right the same amount; now do the division. For example to divide 19.67 by 3.5: to make 3.5 a whole number, move decimal point 1 place to the right to give 35, so move decimal point of 19.67 to the right one place to give 196.7 Now do 196.7 divided by 35 to give 5.62 Example: to divide 196 by 2.5: To make 2.5 a whole number, move the decimal point 1 place to the right to give 25, So move the decimal point of 196 to the right 1 place to give 1960. Now do 1960 divided by 25 to give 78.4 When moving the decimal point in the dividend to the right, if you run out of digits before you've moved enough places, add zeros so that the decimal point moves the correct number, for example: To divide 1234.5 by 2.345: To make 2.345 a whole number the decimal point must move right 3 places to give 2345 so move decimal point of 1234.5 right 3 places, but after 1 place we have 12345 with 2 more places to move, so add 2 zeros to give 1234500 Now divide 1234500 by 2345.
If we are moving the decimal point to the right we are moving from a Value to a?
Moving from a smaller value to a larger value.
How do you solve a long division problem?
How to solve long division problem:When dividing two numbers, the dividend and divisor; the answer is the quotient.Make note of where decimal points is in the dividend and divisor.Simplify the long division problem by moving the decimals of the divisor and dividend by the same number of decimal places.Keep the numbers lined up straight from top to bottom.After each step, be sure the remainder for that step is less than the divisor. If it is not, there is a problem - check your math.In the end, any left over is called the remainder
Why can you move the decimal point when dividing?
If you move the decimal point the same direction and number of places for the dividend and the divisor, this accomplishes the same thing as multiplying (or dividing) a numerator and denominator by the same number (in this case it is a power of ten). Moving the decimal place to the right by one place effectively multiplies the number by 10, and moving the decimal place to the left by one place is the same as dividing the number by 10. Example: 12345.6 / 10 = 1234.56
How do you divid 00.5 diviser by 00.57?
To divide by a decimal, make the divisor a whole number by moving the decimal point to the right; the dividend must also be changed by moving its decimal point the same number of digits to the right. So to divide 0.5 by 0.57, make the divisor 0.57 into 57 by moving the decimal point two digits to the right, then also move the decimal point of the dividend (0.5) two places to the right to give 50. Thus: 0.5 / 0.57 = 50 / 57 ~= 0.88
What is an algorithm for dividing decimals and tell why the algorithm works?
Decimals are the equivalent of fractions. get rid of the decimal in the divisor by moving it to the right end of the number, count spaces moved and move the decimal in the dividend the same number of spaces (adding zeros if necessary). This works because to get an equivalent fraction you multiply the numerator (dividend) and the denominator (divisor) by the same number. Moving a decimal to the right is the same as multiplying by 10, 100, 1000, etc. if you move the decimal 1, 2, 3, etc. spaces so you are in effect multiplying both by these multiples of 10 by moving the decimal the same number of spaces. After this just follow the rules for division, divide an appropriate number of spaces, multiply, subtract, bring down, etc.
Why can you move the decimal point in the divisor to th right as long as you move the decimal point in the dividend the same number of places to the right?
Moving a decimal point to the right is the same as multiplying a number by a power of ten. As long as both numbers are multiplied by the same amount, they will retain their same relationship.
What is 17.2 percent as a decimal?
Converting a percent to its decimal equivalent is done by dividing by 100 (the same as moving the decimal two places to the left): 17.2 ÷ 100 = 0.172
What is 0.8 percent a as decimal?
Converting a percent to its decimal equivalent is accomplished by dividing by 100 (the same as moving the decimal two places to the left): 0.8 ÷ 100 = 0.008
What is 31 percent into a decimal?
Converting a percent to its decimal equivalent is done by dividing by 100 (the same as moving the decimal two places to the left): 31 ÷ 100 = 0.31
What is 9 percent as decimal?
Converting a percent to its decimal equivalent is accomplished by dividing by 100 (the same as moving the decimal two places to the left): 9 ÷ 100 = 0.09
What is18 percent as a decimal?
Converting a percent to its decimal equivalent is accomplished by dividing by 100 (the same as moving the decimal two places to the left): 1.8 ÷ 100 = 0.018
How do you write 262 percent as a decimal?
Converting a percent to its decimal equivalent is accomplished by dividing by 100 (the same as moving the decimal two places to the left): 262 ÷ 100 = 2.62
What is 0.5 percent As a decimal in simplest form?
Converting a percent to its decimal equivalent is accomplished by dividing by 100 (or moving the decimal two places to the left): 0.5 ÷ 100 = 0.005
