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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.

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Challenge

Work out 2 × (15 - (4 + 6)), one layer per line.

Try it yourself

2 * (15 - (4 + 6))

Simplify the expression

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This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Numbers & Operations