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What would happen if we added parentheses to this expression?

What would happen if we added parentheses to this expression?. 3 + 4 x 8. ?. = (3 + 4) x 8 . In this lesson you will learn how to determine if parentheses change the value of an expression by evaluating the effect of moving the parentheses. Parentheses show us what to do first.

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What would happen if we added parentheses to this expression?

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  1. What would happen if we added parentheses to this expression? 3 + 4 x 8 • ? = (3 + 4) x 8

  2. In this lesson you will learn how to determine if parentheses change the value of an expression by evaluating the effect of moving the parentheses.

  3. Parentheses show us what to do first. Sarah bought 2 red scarfs and 4 blue scarfs. Each scarf cost $10. How much money did Sarah spend? Find the total number of scarfs first, so we can multiply by the cost. ( 2 + 4 ) x $10

  4. We can use pictures to help us evaluate expressions with parentheses. (7 + 1) + 5 = This expression represents “8 + 5” + = 8 + 5 = 13

  5. Let’s move the parentheses this time. 7 + (1 + 5) = This expression represents “7 + 6” = + 6 7 + = 13 Moving the parentheses didn’t change the value! (7 + 1) + 5 8 + 5 13 7 + (1 + 5) 7 + 6 13 =

  6. Not realizing that parentheses can change the outcome of an expression Example 7 x 4 - 3 = 7 x (4 - 3) = - 3 = 7 x 28 1 = 25 7

  7. 2 + 3 x 6 = This expression represents “2 + 18” = + 2 + = 20 18

  8. Let’s add parentheses this time. (2 + 3) x 6 = x 6 = This expression represents “5 x 6” = x 6 5 = 30 2 + 3 x 6 2 + 18 20 (2 + 3) x 6 5 x 6 30 =

  9. 12 - (5 - 4) = This expression simplifies to “12-1” = - = 11 12 - 1

  10. Let’s take away the parentheses this time. 12 - 5 - 4 = = - This expression simplifies to “7-4” 7 - 4 = 3 12 - (5 - 4) 12 - 1 11 12 - 5 - 4 7 - 4 3 =

  11. In this lesson you learned how to determine if parentheses change the value of an expression by evaluating the effect of moving the parentheses.

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