compatible numbers in division

by Dr. Mckenna Koch Published 3 years ago Updated 2 years ago

Compatible numbers are pairs of numbers that are easy to add, subtract, multiply, or divide mentally. When using estimation to approximate a calculation, replace actual numbers with compatible numbers.
Example 1 (Addition) 500 + 300 = 800.
Example 2 (Subtraction) 19.4 − 3.8 = 15.6.
Example 3 (Multiplication)

Summary

Compatible numbers are numbers that are close to the numbers they're replacing that divide evenly into each other.
The quotient is the result you get when you divide.
56,000 is pretty close to 55,304.
800 is pretty close to 875, AND it divides evenly into 56,000.

More items...

Full Answer

What does estimating compatible numbers mean in Division?

Compatible numbers are pairs of numbers that are easy to add, subtract, multiply, or divide mentally. When using estimation to approximate a calculation, replace actual numbers with compatible numbers.
Example 1 (Addition) 500 + 300 = 800.
Example 2 (Subtraction) 19.4 − 3.8 = 15.6.
Example 3 (Multiplication)

How do you estimate compatible numbers?

Your Personal Years, Months, and Days

Personal day number
Personal month number
Personal year number
The influence of personal day, month, and year cycles (a wonderful planning aid)

How do you divide compatible numbers?

Compatible numbers are numbers that are close to the numbers they’re replacing that divide evenly into each other. The quotient is the result you get when you divide. 56,000 is pretty close to 55,304. 800 is pretty close to 875, AND it divides evenly into 56,000.

What does compatible numbers in Division mean?

Compatible numbers are numbers that look nice or friendly with each other when we do mental calculation to estimate a product, an addition, a subtraction, but especially a division. Using the figure above, we can make the following conclusions about compatible numbers: Estimating sums. Fives are compatible: 75 + 25 = 100.

How do you find compatible numbers in division?

0:485:09Compatible Numbers in Division - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo it would be three times 90 equals 270 so that we could both compatible. You want to kind of thinkMoreSo it would be three times 90 equals 270 so that we could both compatible. You want to kind of think about the two that are surrounding it so it would be like 240. Which would be times 80. And 270.

What does compatible numbers mean in Division?

Compatible numbers - Definition with Examples In mathematics, compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally.

How do you find compatible numbers?

0:003:39Grade 3 Math #1.4, Compatible numbers and Mental math strategiesYouTubeStart of suggested clipEnd of suggested clipOk you can ask yourself what equals 10 1 plus 9 2 + 8 3 + 7 4 + 6 5 plus 5 right those will equal 10MoreOk you can ask yourself what equals 10 1 plus 9 2 + 8 3 + 7 4 + 6 5 plus 5 right those will equal 10 what equals 100.

What is the compatible numbers for 99999 and why?

compatible number for 99999 =10000 Compatible numbers are only used in mental computation. Working with decimals can make it difficult to multiply and divide, so compatible numbers help to simplify the tasks.13-Jun-2017

How do you round using compatible numbers?

4:005:003rd Grade Math Rounding and Compatible Numbers - YouTubeYouTubeStart of suggested clipEnd of suggested clipThink of numbers that end with 25 50 or 75 think of using those in quarters 125 will be fiveMoreThink of numbers that end with 25 50 or 75 think of using those in quarters 125 will be five quarters to be like a dollar 25 cents 75 cents will be like three quarters.

What do you mean by compatibility?

Compatibility is the capacity for two systems to work together without having to be altered to do so. Compatible software applications use the same data formats. For example, if word processor applications are compatible, the user should be able to open their document files in either product.

What is compatible numbers 3rd grade?

Compatible numbers are numbers that are easy to work with mentally, such as parts of 10. Students who memorize 8 + 2 = 10 can more easily reason that 10 - 2 = 8. By third grade, students can also quickly answer 80 + 20 or 100 - 20 by recognizing compatible numbers.21-May-2018

Which number is compatible with 240?

Compatible numbers for 232 and 11 are 240 and 12.

How do you round using compatible numbers?

Rounding with the purpose of estimating the value of calculations is the best use of compatible numbers. To do this, round each number in the prob...

What are some examples of compatible numbers?

Compatible numbers, numbers that are easy to work with mentally, differ depending on the operation. Addition: Numbers that end in zeros, or add to...

What is the difference between rounding numbers and compatible numbers?

Rounding is a process used to find compatible numbers. The rounding itself is not a compatibility construct; only when the number is rounded to a...

What is the compatible number for 99999 and why?

If finding a compatible number to replace 99999 for estimation purposes, 100000 is the closest, easy to work with number. However, if looking for...

What is a compatible number in fractions?

Compatible numbers in fractions, just like compatible numbers in general, are numbers that are easy to work with mentally. Sometimes it is necessa...

Why are compatible numbers used?

Compatible numbers. Compatible numbers are numbers that seem to "go together" because they are easy to compute mentally. For various reasons, it is easier to compute addition, subtraction, multiplication, and division problems mentally using compatible numbers than numbers that are not compatible. As such, compatible numbers are commonly used ...

What is compatible with multiplication?

Compatible numbers for multiplication and division are very similar. Like with addition and subtraction, numbers that end in one or more 0s are typically compatible. For multiplication, 0 multiplied by anything is 0, so zeros on the end of multiplication problems can be removed. For multiplication, any zeros ...

What is the rule for a number that ends in 0?

One general rule that applies to all the basic arithmetic operations is that numbers that end in 0 (or multiple 0s) are compatible numbers , since in most cases they are easier to work with.

Why are numbers that end in 0 compatible?

Like in addition, numbers that end in 0 are compatible numbers because we can largely ignore the 0s, perform the subtraction, then attach the appropriate number of 0s after. Numbers that end with the same final digit are therefore compatible, since subtracting any number by itself results in 0.

How much does Travis pick up candy?

Travis picks up 2 candy bars for $0.99 each , an apple for $1.69, a bag of chips for $1.39, and a sandwich for $4.88. Estimate how much Travis will have to pay for all of it together if there is a 10% sales tax.

Do you have to break up numbers to recognize them?

It is not actually necessary to break the numbers up if you recognize them, but when doing the mental math, recognizing these numbers is as if you are doing so. This is why such numbers are referred to as compatible numbers, since, with some practice, they become easily recognizable to us.

What are Compatible Numbers?

Mathematical operations are easy to calculate with a calculator. As long as a person understands the process for calculation and has a calculator, any numbers can be manipulated through any amount of mathematical operations with ease using a calculator.

Reasons to Use Compatible Numbers

Many calculations are difficult to conduct mentally, however, it is good to be able to do mental calculations.

Compatible Numbers: Examples

Compatible numbers differ by mathematical operation. There are sets of compatible numbers for each operation and major mathematical calculation like fractions and estimating.

What are compatible numbers in a multiplication table?

Some examples of compatible numbers when doing division are 400 and 10, 36 and 6, 2400 and 12, and 64 and 8.

What are compatible numbers for 232 and 11?

Compatible numbers for 232 and 11 are 240 and 12. Notice that both numbers were increased! 24 can be divided by 12 to get 2. Then, add a zero at the end to get 20. 2. Compatible numbers for 3421 and 9 are 3200 and 8. 32 can be divided by 8 to get 4.

Is 2400 and 12 compatible?

2400 and 12 are compatible because when doing this division (2400/12), we can quickly divide 24 by 12 to get 2 and put two zeros at the end to get 200. Some examples of compatible numbers when doing multiplication are 200 and 40, 1100 and 40, 25 and 4.

What grade is GoMath for?

This is a google slideshow that follows the GoMath book for 5th grade. The lesson gives a section for the teacher to lead a class and a section for students to do independently.

Is long division difficult?

Long division is extremely challenging for most students and just when they seem to be getting the hang of it, they are asked to divide bigger and bigger numbers by two or more digit divisors. I have found that if the students can just get past the first step of determining how many times the div

Addition

Examples of compatible numbers in addition include: 1. 1 and 9 2. 2 and 8 3. 3 and 7 4. 4 and 6 5. 5 and 5 This includes all numbers that end in those pairs of numbers as well. This is because adding those specific numbers results in a number than ends in 0, which allows us to easily compute the addition mentally. We can also fairly easily add numbers that end in 5 and 0. If ther…

See more on math.net

Subtraction

Like in addition, numbers that end in 0 are compatible numbers because we can largely ignore the 0s, perform the subtraction, then attach the appropriate number of 0s after. Numbers that end with the same final digit are therefore compatible, since subtracting any number by itself results in 0.

See more on math.net

Multiplication and Division

Compatible numbers for multiplication and division are very similar. Like with addition and subtraction, numbers that end in one or more 0s are typically compatible. For multiplication, 0 multiplied by anything is 0, so zeros on the end of multiplication problems can be removed. For multiplication, any zeros at the end of the pairs of numbers can b...

See more on math.net

Compatible Numbers and Estimation

Compatible numbers are often used to estimate values by converting actual values that we want to do arithmetic with to compatible numbers. Shopping is an activity in which we may use compatible numbers to get a rough estimate of how much we are going to spend before actually bringing our items to the register. Estimating in this manner works for rough estimates, and in th…

See more on math.net

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19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
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24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
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14. /app/View/Composers/SidebarView.php:22
15. /app/View/Composers/SidebarView.php:12
16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
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