Brackets Inside Brackets
Part of the Numbers & Operations section of Coddy's Pre-Algebra journey. Lesson 10 of 60.
Parentheses can sit inside parentheses. Then you work from the innermost pair outward, like opening a box inside a box. 3 × (2 + (10 - 6)): the innermost package is 10 - 6, which is 4.
That gives 3 × (2 + 4). Now the remaining parentheses hold 2 + 4, which is 6, so the line becomes 3 × 6, and finally 18. Each line removes one layer.
One more thing about how the board writes this: a number placed right against a parenthesis means multiply. The board shows 3 × (2 + 4) as 3(2 + 4), with no dot, and both mean 3 times the package. The innermost pair, the one with no other parentheses inside it, is always safe to work out first.
Challenge
Work out 2 × (15 - (4 + 6)), one layer per line.
Try it yourself
Simplify the expression
This lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Numbers & Operations
1Working on the Board
Your First AnswerType the Next LineOne Line at a TimeDots and BarsFriendly ProductsRecap: Board Work4Adding Integers
Adding Two NegativesDifferent SignsZero PairsAdding Several IntegersRecap: Adding Integers2Order of Operations
Multiply Before AddingLeft to RightParentheses FirstBrackets Inside BracketsThe Fraction Bar GroupsRecap: Order of Operations5Subtracting Integers
Add the OppositeSubtracting a NegativePlus and Minus in a RowDistance Between NumbersRecap: Subtracting Integers