Q:
# Why Is It Useful to Be Able to Estimate Quotients?

It is useful to be able to estimate quotients because a long division by hand is not necessary with this method. Instead, students can calculate easily an estimated answer to complex division problems through the use of compatible numbers and mental math. Estimation of quotients is particularly useful for division problems with decimal numbers.

Continue ReadingA quotient is the whole number found through the division of two numbers, such as 9 divided by 2. Using mental math, the quotient of 9/2 is 4 and the remainder is 1. Although this is a simple division problem, there can be more complex division problems that involve decimal numbers, such as 12.37 divided by 3.46. Through the use of compatible numbers and mental math, an estimate for this division problem is 4. Through long division, the answer is 3.57514451 that when rounded up to the nearest whole number is 4.

The method utilized to estimate a quotient is to use compatible numbers for the divisor and dividend. Compatible numbers are numbers that divide evenly, such as 4/2 = 2 and 39/3 = 13. Compatible numbers make it easier to do mental math. To find compatible numbers to estimate the quotient of 12.37/3/46, students can round down the divisor 3.46 to 3 and the dividend 12.37 to 12. The new division problems is 12/3 that equals 4 and can be found through mental math.

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Q:
## How Do You Do Long Division With Decimals?

A: Long division with decimals is functionally the same as long division without decimals, but you have to move the decimal point of the divisor and dividend ... Full Answer >Filed Under: -
Q:
## What Are Basic Operations With Fractions?

A: Basic operations with fractions involve addition, subtraction, multiplication and division. Addition and subtraction of fractions require a common denomina... Full Answer >Filed Under: -
Q:
## How Do You Convert Fractions to Decimals?

A: One method to manually convert a fraction to a decimal is to multiply the denominator, the bottom number, by a number that will make the denominator a fact... Full Answer >Filed Under: -
Q:
## How Do You Calculate a Percent Change?

A: The simplest method to calculate a percent change is to subtract the original number from the new number, and then divide that difference by the original n... Full Answer >Filed Under: