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Compensation in Addition — Let's Practise!

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Basics on the topic Compensation in Addition — Let's Practise!

Join Razzi and practise using compensation to add!

Transcript Compensation in Addition — Let's Practise!

Razzi says get a piece of paper and a pencil ready because today we're going to practise compensation in addition! It's time to begin! Compensation is something given in return for something. Remember, when using compensation in addition, whatever you add to one number you must do the opposite for the other number. Let's practise! If Mr. Squeaks has twenty-nine blue flowers and twenty-five red ones, how many does he have in total? Start by choosing which number to make friendlier, or easier to add. Don't forget, whatever you do to one number you must do the opposite to the other. Here, you can take one from twenty-five and add it to twenty-nine to make thirty. Did you also get fifty-four? Let's tackle the next problem! If Imani has thirty-four screws and twenty-seven nails, how many items do they have altogether? Don't forget, whatever you do to one number you must do the opposite to the other. Here, you can take one from twenty-seven and add it to thirty-four to make thirty-five. Did you also get sixty-one? Let's tackle the next problem! If Mr. Squeaks has fifty-eight red marshmallows and thirty-two blue ones, how many does he have in total? Don't forget, whatever you do to one number you must do the opposite to the other. Here, you can take two from thirty-two and add it to fifty-eight to make sixty. Did you also get ninety? Razzi had so much fun practising with you today! See you next time!

Compensation in Addition — Let's Practise! exercise

Would you like to apply the knowledge you’ve learnt? You can review and practice it with the tasks for the video Compensation in Addition — Let's Practise!.
  • What is compensation in addition?

    Hints

    Whatever you do to one number, you must do the opposite to the other number.

    One is compensated on each side to make 29 + 25 friendlier, or easier, to add.

    Solution

    Compensation is something given in return for something.

    For example, here we added 1 to 29 to make 30, therefore we must subtract 1 from 25 to compensate.

  • How can we use compensation to add 18 + 12?

    Hints

    Use a pencil and paper to work on this problem.

    • What has been added to 18 to make 20?
    • What has been subtracted from 12 to make 10?
    Solution

    The correct answer is 2.

    To make it easier to add the numbers, we can use compensation to change the question to 20 + 10 by:

    • Adding 2 to 18. 18 + 2 = 20
    • Subtracting 2 from 12. 12 - 2 = 10
  • How many pieces of fruit does Kayla have altogether?

    Hints

    What number do you add to 49 to equal 50?

    What number do you subtract from 33 to equal 32?

    Solution

    Kayla has 82 pieces of fruit altogether.

  • Complete the addition problem.

    Hints

    What number do you add to 48 to equal 50?

    What number do you subtract from 22 to equal 20?

    Solution

    The completed problem is shown here.

  • How can we use compensation to add 29 + 25?

    Hints

    What number do you add to 29 to get 30?

    What number do you subtract from 25 to get 24?

    Solution

    The correct answer is 1.

    To make it easier to add the numbers, we can use compensation to change the question to 30 + 24 by:

    • Adding 1 to 29. 29 + 1 = 30
    • Subtracting 1 from 25. 25 - 1 = 24
  • Solve the problems using compensation in addition.

    Hints

    Use this image to help you with the first question.

    What number do you add to 9 to equal 10?

    What number do you subtract from 11 to equal 10?

    Keep using compensation to solve the other problems.

    What can you add or subtract to one number so it ends with a 0? Make sure you do the opposite to the other number.

    Solution

    Here we can see how we can use compensation to solve 9 + 11.

    • If we add 1 to 9, we get 10.
    • If we subtract 1 from 11, we get 10.
    • We can then add 10 + 10 to get 20.
    • 9 + 11 = 20
    ____________________________________________________
    • 28 + 25 = 53
    • 47 + 17 = 64
    • 55 + 21 = 76