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Brackets Inside Brackets

Part of the Numbers & Operations section of Coddy's Pre-Algebra journey. Lesson 4 of 57.

Look at $3\cdot \left(20-\left(10-6\right)\right)$ . It has brackets inside brackets.

First, the inner brackets: $10-6$ is 4. Now it is $3\cdot \left(20-4\right)$ .

Next, $20-4$ is 16. Now it is $3\cdot 16$ .

Last, $3\cdot 16$ is 48.

So when brackets sit inside brackets, work out the inner ones first.

Challenge

Work out $100-4\cdot \left(20-\left(12-8\right)\right)$ . Write one step per line.

Try it yourself

100-4\left(20-\left(12-8\right)\right)

Simplify

All lessons in Numbers & Operations

1Order of Operations

Your First Answer Left to Right Parentheses FirstBrackets Inside BracketsThe Fraction Bar Groups Recap: Order of Operations

4Adding Integers

Adding Two Negatives Different Signs Zero Pairs Adding Several Integers Recap: Adding Integers

7Exponents

Repeated Multiplication Squares and Cubes Powers of Ten Negative Bases Where the Minus Sits Recap: Exponents

10Numbers in Stories

Temperature Changes Money Owed Up and Down Equal Shares Recap: Number Stories

2Mental Math

Friendly Pairs Take Away the Total Recap: Mental Math

5Subtracting Integers

Add the Opposite Subtracting a Negative Plus and Minus in a Row Distance Between Numbers Recap: Subtracting Integers

8Square Roots

Perfect Squares Undoing a Square Roots in Expressions The Root Sign Groups Between Two Whole Numbers Recap: Square Roots

11Final Challenges

Final: Every Rule at Once Final: Roots and Powers Final: The Freezer Final: Over the Bar Final: On the Line

3Negative Numbers

Below Zero Opposites Greater or Less Absolute Value Recap: The Number Line

6Multiplying and Dividing

Negative Times Positive Two Negatives Counting the Negatives Dividing Integers Zero in Division Recap: Multiply and Divide

9Putting It All Together

Powers Before Products Negatives Inside Negative Bases in Sums Everything at Once Recap: The Full Order