compatible numbers to estimate

by Velda Bins 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)

In mathematics, compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally. Compatible numbers are close in value to the actual numbers that make estimating the answer and computing problems easier.

Full Answer

How to use compatible numbers to find two estimates?

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
Divide the non-zero parts of each number, 56 ÷ 8, to get the first part of the estimate

More items...

What are compatible numbers mean?

Simply speaking, compatible numbers are numbers that are easy to add, subtract, multiply, or divide in your head. They are visually easier to compute mentally than other numbers for various reasons.

How do you estimate quotient using 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. Divide the non-zero parts of each number, 56 ÷ 8, to get the first part of the ...

What are compatible numbers to estimate for addition?

Front End Estimation and Compatible Numbers

Line up your numbers vertically.
Remember the rounding rules: Find your number (s) and circle them.
Look right next door to decide to ignore or add 1 more.
Solve.

What are some examples of compatible numbers?

Some examples of compatible numbers when doing multiplication are 200 and 40, 1100 and 40, 25 and 4. 1100 and 40 are compatible because we can quickly do this multiplication by multiplying 11 and 4 to get 44 and add three zeros at the end to get 44000.

How do you use compatible numbers to estimate each quotient?

Estimate the quotient of 55,304 ÷ 875 by using 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.More items...

How do you use compatible method to estimate?

0:234:43Grade 4 Math 4.5, Estimate Quotients using Compatible NumbersYouTubeStart of suggested clipEnd of suggested clipWell 24 divided by 3 is eight three times eight is twenty-four. And twenty-one divided by three isMoreWell 24 divided by 3 is eight three times eight is twenty-four. And twenty-one divided by three is seven three times seven is twenty-one. I would say the two hundred and ten gets us closer.

What are compatible numbers 4th grade math?

In mathematics, compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally. Compatible numbers are close in value to the actual numbers that make estimating the answer and computing problems easier.

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...

Definition of a Compatible Number

When we think of the word, 'compatible,' we often think of two people that go quite well together, like the historical Shakespearian couple, Romeo and Juliet, or American outlaws, Bonnie and Clyde. We may also think of foods that taste great together, like peanut butter and jelly or hot dogs and ketchup.

Why Do We Use Compatible Numbers?

When we are asked to find the sum (in addition), difference (in subtraction), product (in multiplication), or quotient (in division), our heads can sometimes spin. 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.

Examples of Compatible Number Usage

Let's take a look at some examples of compatible number usage from each of the four common mathematical operations: addition, subtraction, multiplication, and division. To make things more fun, let's use examples from real life using money. Who doesn't love money?

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.

Math Bump Game - Estimating Quotients with Compatible Numbers

Students love to play bump games in Math, and once they play one bump game, they will catch on very quickly. Bump games get your students engaged and participating in "math talk". Instructions are included. All students need is a pair of dice, some round counters or other small game pieces, and a

Estimating Quotients with Compatible Numbers: Long Division Math Task Cards

Practice estimation using compatible numbers (friendly numbers) division with these Digital & Printable math task cards! Use them to create a math center with the included gameboard, play scoot game or use them in small group with the task card work mats!This resource comes in different forms fo

Estimating with Long Division: The Compatible Numbers Game!

Estimating to find the answers to long division problems can be tricky; 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. To make this concept a little more engaging,

Estimating Products with Compatible Numbers: Multiplying 2 Digit by 2 Digit

Practice estimation using compatible numbers (friendly numbers) multiplying 2 by 2 with these Digital & Printable math task cards! Use them to create a math center with the included gameboard, play scoot game or use them in small group with the task card work mats!This resource comes in differen

Estimating with Compatible Numbers Worksheet

This worksheet is great for students struggling with compatible numbers! It breaks compatible numbers down to focus on the benchmarks 25, 50, 75, and 100. There is a brief explanation on top about how to find compatible numbers. 16 questions then follow requiring students to determine the compati

Estimating Decimal Quotients with Compatible Numbers

Use this Interactive Notebook insert with step by step instructions to teach students how to estimate decimal quotients. This insert provides a step by step guide on both 1 digit and 2 digit divisors. Then, let students try for themselves on the "You Try!" Section. This is a difficult concept to

Estimating Quotients with Compatible Numbers

This PowerPoint Presentation is designed to teach students how to use compatible numbers to estimate quotients. It includes a review of previously taught skills, objectives, real-life connections, "I do, we do, you do" format, and a ticket-out-the-door to close the lesson.

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 be ignored to simplify the proble…

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 ro...

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
23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261

Metadata
Backtrace	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 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261

Metadata

Backtrace

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
28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261

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Bindings	0. publish
Backtrace	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 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

Metadata

Bindings

0. publish

Backtrace

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
17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

Metadata
Bindings	0. 7608
Backtrace	21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61

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0. 7608

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21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61

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