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Hi there! I am Studyfin, your math buddy. Today we will explore how grouping symbols change the way we solve math problems!
In math, we use grouping symbols to show which operations to do first. Parentheses look like curved lines, and brackets look like square boxes. They act like VIP passes that tell us, 'Hey, solve this part first!'
Brackets are like outer walls that go around parentheses. When you see both, always solve the inside parentheses first, and then solve the outside brackets next. This is called simplifying up to two levels of grouping.
Let us see what happens when we do not have grouping symbols. We solve from left to right, doing multiplication and division first, then addition and subtraction. Grouping symbols can completely change the final answer of our math expression!
Simplify the expression: 2 x [ 15 - ( 3 + 4 ) ]
- Look at the expression and find the innermost grouping symbols. These are the parentheses around (3 + 4).
- Add the numbers inside the parentheses: 3 + 4 = 7. Now our expression looks like this: 2 x [ 15 - 7 ].
- Next, look inside the brackets: [ 15 - 7 ].
- Subtract the numbers inside the brackets: 15 - 7 = 8. Now our expression looks like this: 2 x 8.
- Finally, multiply the remaining numbers: 2 x 8 = 16. Our final simplified answer is 16!