Question

Why would multiplying both the dividend and the divisor by 10 sometimes make a problem easier to solve?

Answer 1

It would sometimes make the problem easier to solve because 10 is an easy number to multiply with because you basically add a 0 to the number beforehand as appears to other numbers making it confusing

Answer 2

Multiplying both the dividend and the divisor by 10 can simplify a division problem by converting fractions or decimals into whole numbers, which are easier to process. This doesn't change the actual quotient, but shifts the decimal point an equal number of places in both numbers to maintain balance.

Step-by-step explanation:

Multiplying both the dividend and the divisor by 10 can often simplify a division problem because it can convert fractions or decimals into whole numbers, which are easier to work with. For example, if you are dividing 4.5 by 1.5, you can multiply both numbers by 10 to change the problem to 45 divided by 15, a simpler calculation to perform. The reason this works is because it doesn't change the actual quotient, but instead it shifts the decimal point in both the numerator and the denominator an equal number of places, maintaining the equivalency of the problem. This process is especially useful when you're working with complex fractions or decimals where mental computation would be difficult.

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