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Q: How does multiplying both the dividend and divisor by a factor of 10 make a problem easier to solve?

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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.

When you're dealing with decimals, it's sometimes easier to get rid of them. 0.9 divided by 0.3 is the same as 9 divided by 3. The second one is easier to compute.

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.

That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.

Multiplying numbers in scientific notation is easier when the numbers are very, very large or very, very small. Multiplying 0.000000000385 x 0.0000000474 is a pain. Multiplying 3.85 x 10-10 x 4.74 x 10-8 is not.

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it takes out the decimals in the problem an makes it super easy

When you multiply the dividend and the divisor by ten, it changes the numbers to whole numbers instead of decimals so you don't have to deal with the decimal point!

If either of the numerator or the denominator is a number to 1 decimal point it can make the fraction simpler for the less able mathematicians. For example, 6/1.2 = 60/12 = 5

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.

When you're dealing with decimals, it's sometimes easier to get rid of them. 0.9 divided by 0.3 is the same as 9 divided by 3. The second one is easier to compute.

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.

In equivalent division, you multiply (or divide) the dividend and the divisor by the same number to form a new problem that is easier to calculate metally. The new problem will produce the same quotient. ie: 2 divided by 1/2, if you multiply 2 by 2 you get 4 and if you multiply 1/2 by 2 you get 1. 4 divided by 1 = 4. This is the same as the answer to 2 divided by 1/2 (4), it is just easier to do in your head.

Adding the logs of numbers is equivalent to multiplying the numbers. People think adding is easier than multiplying.

That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.

It's easier to visualize with smaller numbers. 18 divided by 3 = 6 18 divided by 6 = 3 If the dividend is the same, the smaller the divisor, the larger the quotient.

Multiplying numbers in scientific notation is easier when the numbers are very, very large or very, very small. Multiplying 0.000000000385 x 0.0000000474 is a pain. Multiplying 3.85 x 10-10 x 4.74 x 10-8 is not.

You could use long division, I will show you step-by-step with detailed explanation how to calculate 169 divided by 4 using long division. First note that in the problem 169 divided by 4, the numbers are defined as follows: 169 = dividend 4 = divisor If you want to do it on paper and instead of your mind so it's easier. Set it up with the divisor 4 on the left side and the dividend 169 on the right side like this: 4)------ with the answer on the top and the number you are dividing on the bottom, so in this case 169. The divisor (4) goes into the first digit of the dividend (1), 0 times. Therefore, put 0 on top. Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend. So below the 1 in 169, then subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below. Move down the 2nd digit of the dividend (6) so just put it next to the one. The divisor (4) goes into the bottom number (16), 4 time(s). Therefore, put 4 on top, or right next to the 0 if you will. Multiply the divisor by the result in the previous step (4 x 4 = 16) and write that answer at the bottom, under the previous 16. So there should be two sixteens on the bottom.Now just subtract the result in the step before from the number written above it. (16 - 16 = 0) and write the answer at the bottom, under the sixteens Move down the last digit of the dividend (9) The divisor (4) goes into the bottom number (9), 2 times. Therefore put 2 on top. Multiply the divisor by the result in the previous step (4 x 2 = 8) and write the answer at the bottom... Subtract the result in the previous step from the number written above it. (9 - 8 = 1) and write the answer at the bottom. So you are now finished because there are no more digits to move down from the dividend. The answer is the top number and the remainder is the bottom number. Therefore, the answer to 169 divided by 4 calculated using Long Division is 42 with 1 Remainder. Hope this helps! If you don't understand ask a parent, guardian, or a teacher to walk you through it. And always remember to try your best!