Distributive Property Intro to Algebra Grouping Symbols Grouping
Distributive Property Intro to Algebra
Grouping Symbols Grouping symbols organize an algebra problem that contains multiple groups. Algebraic grouping symbols include • Parentheses – ( ) • Brackets – [ ] • Braces – { }
A Closer Look… Let’s take a look at some algebraic expressions that contains grouping symbols.
A Closer Look… • When we have something to group together we usually use parentheses 4(x + 2) – 3 • If there are multiple groups in the same expression that are separated we use parentheses for both -(2 x – 1) + 4(x + 1)
A Closer Look… • When we have a group within a group we use brackets to group together the big one, and parentheses for the group inside of the group. 5 + [-(3 x + 4) + 1] • When there are two groups inside a group, we use the same as above, but then use braces to group the biggest group together. 7{8 x[3 -x(1+9 x) + 3]}
How do we simplify expressions like this? DISTRIBUTIVE PROPERTY
What does it mean to distribute something? To give out evenly To disperse evenly To deliver
Let’s take a look at a problem 4(2 + 3)
Distributive Property To apply the distributive property, take the number that you are multiplying on the outside of the grouping symbol and multiply it by every part in the grouping symbol. Then, apply the operations inside the grouping symbol.
Examples 1. 7( 8 + 3) 2. -3(2 + 6) 3. 9(1 – 10) 4. -(4 – 3)
To distribute a “-” When there is only a “–” sign in front of a grouping symbol, simply multiply everything in the grouping symbol by -1. This will just change the sign of everything inside.
Distributive Property This property can also help us when multiplying large numbers. 4 x 27
Rewrite the problems and use the distributive property to solve. 1. 8 x 16 2. 7 x 38 3. 2 x 83 4. 12 x 24
- Slides: 13