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### Course: 5th grade>Unit 13

Lesson 1: Writing expressions

# Translating expressions with parentheses

Dive into the world of writing mathematical expressions from verbal statements. Understand the importance of parentheses in expressions, and how they can change the meaning of calculations.

## Want to join the conversation?

• Does "divide in half" actually mean "multiply by half" or "take a half of.."?
• yes, technically but, it is not really spliting it in half that would be for fractions
• Math is fun and boring in the same way
• how do you translate expressions with parenthesis the right way? Is there also an easier way?
• If they're are numbers in parenthesis you are suppose to do what it says first
• for the pink question he could of just done 43-16-11
• No, he can't it says on the pink line it says:"43 minus the sum of 16 and 11 "the sum is the total of 16 and 11 so you have to do that first if you do it as (43-16-11) you get 43-16-11 while the answer is 38.
• I was not working for me😕
• What is not working for you? Do you need help trying to figure PEMDAS?
• Starting at we are told the importance of parentheses in the equation, that without them the standard way of interpreting 43-16+11 would be to first subtract 16 from 43 then to add the 11.

My question is, even without the parentheses wouldn't you follow PEMDAS. Adding the 16 and 11 before subtracting 43?

Any help would be appreciated.
• That's true - parentheses go before everything else because they exist solely to group operations! And the Order of Operations is universally followed as it's how we read math expressions.
The thing is that addition and subtraction are really at the same level in the Order of Operations, because they are basically the same but inverse to each other. Operations at the same level are always done left-to-right. Preferably, acronyms such as `PEMDAS` are taught as something like `PE(MD)(AS)` to reflect this.
So addition and subtraction are done left-to-right, which is why `46-13+11` is read as doing the `46-13=33` then doing the `33+11=44`.
• What are the order of operations
• The Order of Operations tells us what order to do the math operations in any expression. Basically how we read it.
There are many acronyms that communicate this order, but they all tell the same story:
- Do everything inside parentheses first, along with exponents/roots.
- Do multiplications/divisions left-to-right.
- Do additions/subtractions left-to-right.

Hope it helped :)
• When he put the coma in the wrong spot I said in my deepest voice (Not very deep) "HE SAID IT WRONG" and then burst out in laughter and then he fixed his mistake. LOL
• would you please checke the for the order of mathematecal exprethions. I thinke we should do the addtion first.