How To Estimate Using Compatible Numbers

Explain how to estimate the quotient using compatible numbers. For instance if we have to add 493 and 549 we can make the numbers compatible by rounding them up to the nearest tens or hundreds.

Go Math 4 5 Estimate Quotients Using Compatible Numbers Go Math Math Compatible Numbers

Compatible numbers are pairs of numbers that are easy to add subtract multiply or divide mentally.

How to estimate using compatible numbers. Compatible numbers for 232 and 11 are 240 and 12. Mentally decide which is the closest multiple of the first digit in the divisor. 490 and 550 rounded to the nearest tens or 500 and 500 rounded to the nearest hundreds are much easier to solve.

We can estimate that the quotient of 27 23 3 910 will be about 7. Compatible numbers are numbers that are easy to divide mentally. 25889 52 1.

See full answer below. To make this concept a. We use compatible numbers to make the problem easier to solve in our head by rounding each number to the nearest ten twenty fifty or hundred.

A quotient a b can be estimated using compatible numbers with the following steps. Notice that both numbers were increased. Compatible numbers are numbers that are easy to perform arithmetic operations such as addition subtraction multiplication or division in your head.

232 11 2. Example 1 Addition 500. They will round the dividend to find a number compatible with the divisor to pull out a basic division fact and solve.

I hope this helps. Similarly we can estimate 3 910 to be 4 because it is only 110 away from a whole number. Estimating to find the answers to long division problems can be tricky.

5564 divided by 91. When you divide 24 by 5 you will get a remainder. Become a member and unlock all Study.

Instead of rounding to the greatest place value students must round the dividend to a compatible number or a number that completes a basic fact with the divisor and then divide. Use this simple online Compatible Numbers Calculator to estimate the nearest compatible numbers for any integer values. Each bowling Measuremen how to i Estimate the quotient using compatible numbers.

24 can be divided by 12 to get 2. Estimate quotients Students find compatible numbers to estimate the quotient. Compatible numbers for 3421 and 9 are 3200 and 8.

3421 9 3. Dividing the two we get. 32 can be divided by 8 to get 4.

7 Check the reasonableness of your estimate using multiplication. These numbers are helpful for performing easy mental calculations and help in solving any math problem easier in our head by rounding each number. If youre trying to find the percent of a number it may be helpful to use compatible numbers to find an estimated answer.

When you estimate a quotient first round the divisor and then round the dividend to a compatible number. Then add a zero at the end to get 20 2. EXAMPLE Using Compatible Numbers A bowling ball has a mass of 561 kg.

27 and two-thirds divided by 3 and StartFraction 9 over 10 EndFraction. Use compatible numbers to estimate 8 of 868 Note. Compatible numbers are numbers that are close to the numbers theyre replacing that divide evenly into each other The quotient is the result you get when you divide 56000 is pretty close to 55304 800 is pretty close to 875 AND it divides evenly into 56000.

When using estimation to approximate a calculation replace actual numbers with compatible numbers. Round a and b to the nearest two numbers that are. 5 Rewrite the dividend with the basic fact and include a 0 in the ones place and tens place if it is a 4-digit number 6 Divide mentally using powers of 10.

27 23 3 910 284 7. For example if given the problem 297 348 our. We can round the numbers to the nearest ten hundred thousand or ten thousand to make them compatible numbers.

To avoid that round 24 to 25 because 25 is compatible with 5. We can estimate 27 23 to be 28 because it is only 13 away from a whole number. Therefore 25 divided by 5 is 5.

Estimate the following division using compatible numbers.

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