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what does compatible numbers mean

by Lesly McDermott Published 4 years ago Updated 3 years ago

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.

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 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)

What is the difference between compatible numbers and rounding?

  • 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)

What is the definition of a compatible number?

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.

What are compatible numbers for 3rd grade math?

We can round the numbers to the nearest ten, hundred, thousand or ten thousand to make them compatible numbers.

How do you find compatible numbers?

5:057:29Compatible Numbers - Elementary Math - 4.4G - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo 606 are compatible they're much easier to divide by to get an answer that's close to the originalMoreSo 606 are compatible they're much easier to divide by to get an answer that's close to the original. Answer let's look at another example. Five thousand six hundred ninety nine divided by eight.

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

How do you use the compatible number method?

0:304:43Grade 4 Math 4.5, Estimate Quotients using Compatible NumbersYouTubeStart of suggested clipEnd of suggested clipWell 24 divided by 3 is 8 3 times 8 is 24. And 21 divided by 3 is 7. 3 times 7 is 21. I would sayMoreWell 24 divided by 3 is 8 3 times 8 is 24. And 21 divided by 3 is 7. 3 times 7 is 21. I would say the 210 gets us closer. So 210 divides by 3 210 is the same thing as 21 tens.

How do you teach compatible numbers to 3rd graders?

0:203:39Grade 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 do compatible numbers end in?

Numbers that end with 1 or more zeros are compatible. For example, use 200 - 100 to estimate 198 - 99.

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

What are compatible pairs in addition?

What are compatible pairs in addition? Numbers that easily combine to equal benchmark numbers (Compatible numbers are those that, when combined, add up to numbers like 100. For example, 25 + 75 = 100, so 25 and 75 are a compatible pair.)

How do you estimate a product using compatible numbers?

1:284:30Use Compatible Numbers to Estimate - YouTubeYouTubeStart of suggested clipEnd of suggested clipNumbers for example when looking to find the sum of 327. And 582 327 could be estimated to be 325.MoreNumbers for example when looking to find the sum of 327. And 582 327 could be estimated to be 325. And 582 could be estimated to be 575.. So when adding together 325 and 575 you would get 900..

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...

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.

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.

Why is it important to have compatible relationships?

Compatible relationships allow partners the freedom to be themselves. If your partner likes you the way you are and does not coerce you to change your personality, it is enough motivation to be yourself and not pretend to be someone else that you are not as you have that freedom in your relationship.

How do you know if you are compatible?

1. Physical attraction. One of the earliest signs of compatibility is the presence of physical attraction between you and your partner. Before asking, are we compatible, ask yourself if you’re attracted to your partner. Although being physically attractive to your partner is not all that there is to be compatible.

How does your partner claim to love you but hates your family?

How does your partner claim to love you but hates your family? If you find out your partner does not like your family, they may likely have misunderstandings and concerns about your family. Compatible partners appreciate, respect, and honor each other’s family, even if they do not like them.

Why is sacrifice important in a relationship?

Sacrifice is the apex of every successful relationship. Partners should be willing to sacrifice for their spouse or partner. Sacrifice can be in terms of meeting your partner’s needs, satisfying their desires, etc. Being able to sacrifice for each other is one of the most important signs of compatibility.

What is a compatibility check?

It requires that both parties possess certain qualities that are capable of making them compatible. If you are not sure of the answer, you need to check for signs of compatibility and conduct what you may want to refer to as a “Relationship Compatibility Check.”.

Why is it important to know if you are compatible with your partner?

It is more important for people who intend to enter a relationship to verify their compatibility.

What makes a compatible couple?

What makes compatible couples is the presence of absolute and concrete trust between them. Lack of confidence is a product of doubt in love between you and your partner or spouse.

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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      Metadata
      Bindings
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      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
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      • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
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      Bindings
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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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