Mathematics
Grade 3
15 min
Understanding parentheses
Understanding parentheses
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1
Introduction & Learning Objectives
Learning Objectives
Identify parentheses in a number sentence.
Explain that parentheses are symbols that group parts of a problem to be solved first.
Solve two-step problems involving parentheses with addition and subtraction.
Solve two-step problems involving parentheses with addition and multiplication.
Compare the results of the same number sentence with and without parentheses to see how the answer changes.
Create a number sentence with parentheses that matches a simple story problem.
If you have 10 stickers and buy a pack with 5 more, then share them with a friend, how is that different from having 10 stickers and a friend gives you 5 packs of 2? 🤔 Parentheses help us solve these kinds of problems!
In this lesson, you will learn about special symbols called parenthese...
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Key Concepts & Vocabulary
TermDefinitionExample
ParenthesesThe two curved symbols, ( and ), used in a math problem to show which part to do first.In the problem 10 + (5 - 2), the parentheses are around '5 - 2'.
ExpressionA math sentence with numbers and operation signs, but no equals sign.3 * (4 + 6) is an expression.
EquationA math sentence that says two things are equal. It has an equals sign.3 * (4 + 6) = 30 is an equation.
OperationThe action you perform in math, like adding (+), subtracting (-), or multiplying (*).In 8 - 2, the operation is subtraction.
GroupingUsing parentheses to put numbers and an operation together to show they belong to one part of the problem.In (2 + 7) * 3, the numbers 2 and 7 are grouped by addition.
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Core Formulas
The Parentheses First Rule
Always solve the part inside the parentheses ( ) before doing anything else.
When you see a math problem with parentheses, treat the part inside as a mini-problem. Solve it, and then use that answer to finish the rest of the problem.
Grouping Matters Rule
(a + b) * c is not the same as a + (b * c)
Where you put the parentheses can change the final answer. Moving them changes which operation you do first, which gives you a different result.
5 more steps in this tutorial
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Challenging
The expression 3 x (4 + 5) can be read as '3 groups of (4 + 5)'. Which story below matches this expression?
A.There are 3 boys and 4 girls on a team. 5 more kids join.
B.There are 3 red balls, 4 green balls, and 5 blue balls.
C.boy has 3 stickers. His friend gives him 4 more, and then he buys 5 more.
D.There are 3 classrooms. Each classroom has 4 boys and 5 girls.
Challenging
Which expression below will give you the exact same answer as 5 x (10 + 2)?
A.5 x 10 + 2
B.(5 x 10) + (5 x 2)
C.(5 + 10) x 2
D.5 + 10 + 2
Challenging
In which expression do the parentheses NOT change the final answer?
A.(7 + 5) + 3
B.(7 - 5) x 3
C.7 x (5 + 3)
D.12 ÷ (2 + 2)
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