Order in Adding

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Order in Adding
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Basics on the topic Order in Adding

Content

Order Property of Addition

In this video Mr. Squeaks and Imani are getting ready for a birthday party! There is just one problem though, they can’t decide on the order of items they will add to the goody bags they will give their guests! Mr. Squeaks wants to add mini-erasers first, but Imani wants to add sprinkles first. Learn more about addition property of order below to see how they will solve this tricky problem.

Order of Numbers in Addition

What IS order in adding? When we talk about order in adding we're discussing which number to add first in an addition equation. This is also known as the commutative property or, the commutative order property of addition.

What is the commutative order property of addition? You may have heard grown ups say that cars commute, well did you know that numbers do too? Commute is another way to say travel. Cars travel from one place to another, and numbers can too!

Order of Addition Rules

When addends travel, or commute, in an equation, it means those numbers have moved, or, rearranged. Even when you rearrange the addends, the SUM, or total, will always be the same. When rearranging, or moving addends…

  • Start by setting up an equation.
  • Next, solve using a strategy that works for you, in this video we used ten frames.
  • Once you have solved the first equation, create another by moving, or, rearranging the addends.
  • Then, solve again using ten frames.

Even though the addends commuted, the sum remains the same!

Order of Operations Addition Example

Let’s practice order in adding with the example below.

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Mr. Squeaks wants to start by adding twenty-two seeds, but Imani wants to start with twelve flowers. How can we use order in adding to help them see their sum?

  • Start by setting up an equation.
  • Next, solve using a strategy that works for you, in this video we used ten frames.
  • Once you have solved the first equation, create another by moving, or, rearranging the addends.
  • Then, solve again using ten frames.

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What do you notice? The sum is the same!

Order in Adding - Summary

Today we learned about order in adding. That's when you decide which addend to add first. We also learned about the commutative property and commuting numbers. Remember, when addends commute, those numbers rearrange, but the sum ALWAYS stays the same...

Equal and Not Equal – Additional Practice

Want more practice? Take a look at the end of this video for changing order of addition property worksheets and exercises.

Transcript Order in Adding

Mr. Squeaks and Imani are getting ready for a birthday party! They want to make goodie bags for their guests to take home, but, they have a problem. Mr. Squeaks wants to add mini erasers first, while Imani wants to add sprinkles first. Will the order change the total number of goodies put in the bag? Let's help Mr. Squeaks and Imani solve this problem by learning about 'Order in Adding.' What IS order in adding? When we talk about order in adding we're discussing which number to add first in an addition equation. This is also known as the commutative property. You may have heard a grown up talk about commuting, this is another way to say travel. You know that cars can travel... however, did you know that numbers can travel as well? When addends travel, or commute, in an equation, it means those numbers have moved, or, rearranged. Remember, addends are the numbers that we are ADDING together. Even when you rearrange the addends, the SUM, or total, will always be the same. Let's see if order in adding will change Mr. Squeaks and Imani's goodie bags. Mr. Squeaks and Imani have different opinions about what to add first in their goodie bags. When rearranging, or moving addends, always start by setting up an equation. Here our equation is ten plus eight. Next, solve using tens frames. Ten plus eight equals eighteen. Once you have solved the first equation, create another by moving, or, rearranging the addends. Here we will rearrange to create eight plus ten. Then, solve again using tens frames. Eight plus ten equals eighteen. Even though the addends commuted, the sum remains the same! Next, Mr. Squeaks wants to start by adding twenty-two seeds, but Imani wants to start with twelve flowers. How can we use order in adding to help them see their sum? (...) First, set up an equation. Here it is twenty-two plus twelve. Next, solve the equation using tens frames. After that, commute your addends to create a new equation. Here, we can rearrange the addends to create twelve plus twenty-two. Use tens frames to solve this equation too! Twelve plus twenty-two equals thirty-four. Then, compare the sums, what do you notice? (...) The sum is thirty-four no matter which addend comes first! Finally, Mr. Squeaks wants to add thirty-three mushrooms first, BUT Imani wants to add fifteen nails. How can they use order in adding to understand their sums? (...) First, start by creating an equation. Next, use tens frames to solve the equation. (...) Then, commute those addends and create a new equation! You can use tens frames to solve this new equation as well. Finally, compare the sums using tens frames. How much is thirty-three plus fifteen? (...) Thirty-three plus fifteen is forty-eight, AND fifteen plus thirty-three equals forty-eight! Before we see those goodie bags, let's review! Today we learned about order in adding. That's when you decide which addend to add first. We also learned about the commutative property and commuting numbers. Remember, when addends commute, those numbers rearrange, but the sum ALWAYS stays the same... and that you can use tens frames to help add! Now, let's see those goodie bags. : [voice like he's falling into something] "Oh no!" : "Imani? Imaaani! I'm stuck in a bag! Help me out!" :

Order in Adding exercise

Would you like to apply the knowledge you’ve learned? You can review and practice it with the tasks for the video Order in Adding.
  • Which equations does this show?

    Hints

    There are two correct answers.

    How many pencils and how many erasers were put in to each bag? These are your addends.

    Can the two addends be added together in any order?

    Solution

    There are 7 pencils and 8 erasers in each bag.

    7 + 8 = 15 and 8 + 7 = 15. These answers are both correct.

    When we have two amounts to add together, we can add them in any order.

  • Match the pairs that are equal equations.

    Hints

    What is the total of the first pair? First find the amount of green squares, then the amount of purple squares.

    Is there another ten frame that has the same total but the addends are in the opposite order?

    Solution

    The image shows the pair that shows 5 + 8 = 13 and 8 + 5 = 13

    ----------------------------------------------

    The other pairs are:

    8 + 10 = 18 and 10 + 8 = 18

    12 + 22 = 34 and 22 + 12 = 34

    13 + 25 = 38 and 25 + 13 = 38

  • Complete the equations.

    Hints

    The first number sentence is to add the purple and green, so count how many purple squares and put this number in the first gap.

    The second number sentence is to add green and purple, so count how many green squares and put this number in the first gap.

    The commutative property tells us that we can add the two addends in any order and we still get the same answer. For example, 4 + 6 = 10 and 6 + 4 = 10.

    Solution

    There are 14 purple and 18 green squares. These can be added together in both ways and the answer is still 32.

    14 + 18 = 32 and 18 + 14 = 32.

  • Which images answer the question?

    Hints

    There are two correct options.

    Which tens frames have 16 and 8 shown in purple and green?

    The total number of colored squares is equal to 16 + 8.

    Solution
    • There were two options that correctly displayed this problem.
    • Since there were 16 balloons and 8 pieces of candy, we could do: 16 + 8 = 24 OR 8 + 16 = 24.
  • How many treats are in each party bag?

    Hints

    Count how many heart stickers there are and how many star stickers there are then add these together.

    Count how many stickers there are in total on the tens frames.

    Solution
    • There are 8 star stickers and 9 heart stickers.
    • In total there are 17 stickers.
    • 8 + 9 = 17
    • 9 + 8 = 17
  • Matching equations.

    Hints

    Look at the two addends within the equation, can you see another equation with those same two addends?

    In an addition number sentence, the total can come at the end of the beginning of the number sentence.

    Solution

    The image shows the pairs matched correctly.