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Why should you multiply the divisor and the dividend by the same power of ten?
Because not to do so would change the relationship between them 3.45/12.3 = 345/1230 = 0.2805 (approx) If you multiplied the dividend by 100 and the divisor by ten (doing just enoguh to remove the decimal places) then the relationship (the ratio) changes 345/ 123 = 2.8049 (approx)
When you divide a decimal by decimal why do you multiply the dividend and the divisor by the power of 10?
Some people do that so that the divisor becomes an integer under the impression that dividing by a whole number is, in some way, easier than dividing by a decimal.
What must you do if there is a decimal in the divisor?
If there is a decimal in the divisor, you should first convert the divisor into a whole number by multiplying both the divisor and the dividend by the same power of ten. This will shift the decimal point to the right, making the divisor a whole number. After adjusting, you can proceed with the division as usual.
When dividing by a decimal why can you multiply the divisor and dividend by the same power of 10?
When dividing by a decimal, you can multiply both the divisor and the dividend by the same power of 10 to eliminate the decimal point. This process keeps the value of the fraction the same because you are effectively scaling both numbers equally. For example, if you have 4.5 ÷ 0.3 and multiply both by 10, it becomes 45 ÷ 3, simplifying the division. This method makes it easier to perform the calculation without changing the ratio of the two numbers.
When you divide by a decimal why do you multiply the dividend and the divisor by a power of 10?
Multiplying both the dividend and divisor by a power of 10 is done to convert the decimal divisor into a whole number. This allows us to perform the division operation using whole numbers, making it easier to calculate. It maintains the overall value of the division while simplifying the computation.
Why should you multiply the divisor and the dividend by the same power of ten?
Because not to do so would change the relationship between them 3.45/12.3 = 345/1230 = 0.2805 (approx) If you multiplied the dividend by 100 and the divisor by ten (doing just enoguh to remove the decimal places) then the relationship (the ratio) changes 345/ 123 = 2.8049 (approx)
When you divide a decimal by decimal why do you multiply the dividend and the divisor by the power of 10?
Some people do that so that the divisor becomes an integer under the impression that dividing by a whole number is, in some way, easier than dividing by a decimal.
What must you do if there is a decimal in the divisor?
If there is a decimal in the divisor, you should first convert the divisor into a whole number by multiplying both the divisor and the dividend by the same power of ten. This will shift the decimal point to the right, making the divisor a whole number. After adjusting, you can proceed with the division as usual.
When dividing by a decimal why can you multiply the divisor and dividend by the same power of 10?
When dividing by a decimal, you can multiply both the divisor and the dividend by the same power of 10 to eliminate the decimal point. This process keeps the value of the fraction the same because you are effectively scaling both numbers equally. For example, if you have 4.5 ÷ 0.3 and multiply both by 10, it becomes 45 ÷ 3, simplifying the division. This method makes it easier to perform the calculation without changing the ratio of the two numbers.
When you divide by a decimal why do you multiply the dividend and the divisor by a power of 10?
Multiplying both the dividend and divisor by a power of 10 is done to convert the decimal divisor into a whole number. This allows us to perform the division operation using whole numbers, making it easier to calculate. It maintains the overall value of the division while simplifying the computation.
Why do you multiply the dividend and the divisor by a power of 10?
Multiplying the dividend and the divisor by a power of 10 is done to eliminate decimals in a division problem, making it easier to work with whole numbers. This technique simplifies calculations and helps to maintain the value of the quotient, ensuring that the result remains the same despite the adjustment. It is particularly useful in long division and can help avoid confusion with decimal placement.
Why is it necessary to multiply both the divisor and dividend by the same power of 10?
Multiplying both the divisor and dividend by the same power of 10 maintains the equality of the fraction, allowing for easier computation or simplification. This process shifts the decimal point, effectively converting the numbers into a more manageable form without altering their ratio. It is particularly useful in division problems involving decimals, helping to eliminate or reduce the complexity of the decimal places.
When you divide a decimal by a decimal why do you multiply the dividend and the divisor by a power of 10?
When dividing a decimal by a decimal, multiplying both the dividend and the divisor by a power of 10 helps eliminate the decimals, transforming the division into a simpler form with whole numbers. This process maintains the equality of the fraction, as both numbers are scaled by the same factor. As a result, it becomes easier to perform the division without dealing with decimal points, leading to a more straightforward calculation.
Why can you move the decimal in the divisor and dividend when you divide?
You can move the decimal point in both the divisor and the dividend when dividing because this process maintains the overall ratio of the numbers. By shifting the decimal point to the right in both numbers by the same number of places, you effectively multiply both by the same power of ten, which does not change the value of the quotient. This simplification makes the division easier while keeping the result accurate.
How do you work out 12 divided by 35.16?
0.3413
How do you i divide decimals?
To divide decimals, first, eliminate the decimal point from the divisor by multiplying both the divisor and the dividend by the same power of 10. Then, perform the division as you would with whole numbers. Finally, place the decimal point in the quotient directly above where it would appear in the dividend, based on the number of decimal places in the dividend. Adjust the quotient if necessary to ensure accuracy.
What algorithm is used to calculate GCD of two integers?
There are two main methods:Euclid's methodChoose one of the numbers to be the dividend of a division and the other to be the divisor.Perform the divisionIgnore the quotient and keep the remainderIf the remainder is zero, the last divisor is the GCDReplace the dividend by the divisorReplace the divisor by the last remainderRepeat from step 2.It doesn't matter which number is the dividend and which is the divisor of the first division, but if the larger is chosen as the divisor, the first run through the steps above will swap the two over so that the larger becomes the dividend and the smaller the divisor - it is better to choose the larger as the dividend in the first place. Prime factorisationExpress the numbers in their prime factorisations in power format. Multiply the common primes to their lowest power together to get the GCD.The first is limited to two numbers, but the latter can be used to find the gcd of any number of numbers.Examples:GCD of 500 and 240:Euclid's method:500 ÷ 240 = 2 r 20 240 ÷ 20 = 6 r 0gcd = 20Prime factorisation:500 = 22 x 53 240 = 24 x 3 x 5gcd = 22 x 5 = 20
