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compatible numbers to estimate addition

by Vena Gislason Published 3 years ago Updated 3 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)

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. The numbers 500 and 300 are compatible for addition, since the sum of 800 can be easily calculated mentally.

Full Answer

How do you estimate compatible numbers?

Use Compatible Numbers to Estimate by Cohesion Education 2 $1.99 Video When estimating to find the sum or difference, students have 2 options; 1) Identify Compatible Numbers, 2) Use Place Value to Round. Compatible numbers are close to the …

How to use compatible numbers to find two estimates?

Jan 02, 2020 · 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 are place values?

How to add compatible numbers?

This video looks at Front-End Estimation, Clustering, and using Compatible Numbers. It includes six examples. Examples: Front End Estimation 3025 + 498 + 32 613 + 91 + 1231 Clustering 51 + 48 + 53 + 50 + 47 95 + 103 + 99 + 97 + 101 + 104 Compatible Numbers 73.8 ÷ 7.9 22.6 ÷ 3.04 Show Step-by-step Solutions Estimating with Whole Numbers

How do you use rounding and compatible numbers?

Compatible numbers are numbers that when added produce a ‘tidy sum’, one that usually ends in zero, or multiples of 10. For example, 7 and 3; 6 and 4; 8 and 2; and 9 and 1 are considered compatible because when added they total 10 (end in zero). Also, 70 and 30; 16 and 84; 38 and 62 are also compatible numbers because when added they total 100 (end in zero). For younger …

How do you estimate using compatible numbers?

0:0713:124th Grade Math 4.5, Estimate Quotients Using Compatible NumbersYouTubeStart of suggested clipEnd of suggested clipWe can also use compatible numbers to find two estimates that the quotient is between 22 divided byMoreWe can also use compatible numbers to find two estimates that the quotient is between 22 divided by 5 is between 20 divided by 5 equals 4 and 25 divided by 5 equals 5.

What are compatible numbers?

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 estimate adding numbers?

0:305:04HOW TO ESTIMATE When Adding and Subtracting Numbers - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo if we take a look at the first number 358 we round him to the nearest ten to me notice our fiveMoreSo if we take a look at the first number 358 we round him to the nearest ten to me notice our five is in the tens. Place. We will get 360 because we need to round up. Now with 78.

How can you use compatible numbers and rounding to estimate differences?

0:1414:563rd Grade Math 1.8, Estimate Differences - YouTubeYouTubeStart of suggested clipEnd of suggested clipWe can estimate differences by using compatible numbers which we learned in video 1.3. Those areMoreWe can estimate differences by using compatible numbers which we learned in video 1.3. Those are numbers that are easy to add mentally. And are close to the real number.

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 is estimated sum example?

To estimate the sum we round-off each number to the nearest tens and then add the rounded-off numbers. Let us estimate 38 + 23. 38 is nearer to 40 than 30. So, 38 is rounded up to 40.

How do we estimate?

0:272:12Basic Math: Estimating - YouTubeYouTubeStart of suggested clipEnd of suggested clipWe take a look at the next digit over if it's less than 5 we round down so that goes to 900. And weMoreWe take a look at the next digit over if it's less than 5 we round down so that goes to 900. And we add those together. And you probably can do this pretty quickly in your head 6 plus 9 is 15.

How do you estimate math antics?

3:457:38Addition & Subtraction Estimation | Math with Mr. J - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo instead of asking ourselves is 431 closer to 400 or 500 we could take a look at 450 because 431MoreSo instead of asking ourselves is 431 closer to 400 or 500 we could take a look at 450 because 431 is closer to 450. Than it is to either one of those hundreds place 400 or 500..

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?

Front End Estimation (Rounding)

Front End Estimation is a way of estimating the sums, differences or products of numbers by rounding.

Front End Estimation (Truncate)

Another way of Front End Estimation is to truncate each number to its leftmost place values and then perform the operation.

Compatible Numbers

Compatible numbers are often used when estimating division. Compatible numbers are numbers that are close to the original numbers but they divide evenly into each other.

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 numb...
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 rough estimates, and in th…
See more on math.net

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