Whole Number Operations

There are four basic operations; Addition, Subtraction, Multiplication and Division

OperationWordsAlgebra
AdditionThe sum ofa + b
SubtractionThe difference ofa – b
MultiplicationThe product ofa x b      a . b
DivisionThe quotient ofa ÷ b

Remember,

dividend/divisor = quotient

OR

 quotient x divisor = dividend

Order of Operations

A numerical expression is an expression that contains only numbers and operations. To evaluate or find the value of a numerical expression, use a set of rules called the order of operations.

Order of Operations: PEMDAS

  1. Perform operations in Parentheses.
  2. Evaluate numbers with Exponents.
  3. Multiply or Divide from left to right.
  4. Add or Subtract from left to right.

Now some we will solve some problems…

Q. You make 24 equal payments for a go-cart. You pay a total of $840. How much is each payment?

Ans: Each payment is $35.

Q. A school lunch contains 12 chicken nuggets. Ninety-five students buy the lunch. What is the total number of chicken nuggets served?

Ans: There were 1140 chicken nuggets served.

Q. You change the water on a water jug on a water cooler. How many cups can be completely filled before you need to change the water jug again?

Ans: 1 gallons = 128 fl. oz

5 gallons =128 x 5 fl. oz

64 cups can be filled before change the water jug.

Q: If you have $9, one of your friends has $10, and two of your other friends each have $13. You combined your money to buy arcade tokens. You used coupons to buy 8 tokens for $1. The cost of remaining tokens is four for $1. You and your friends share the tokens evenly. How many tokens does each person get?

Ans: Each person gets 46 tokens.

Q: You borrow bookcases like the one shown to display 943 books at a book sale. You plan to put 22 books on each shelf. No books on the top of the book cases.

  1. How many bookcases must you borrow to display all the books?
  2. You fill the shelves of each bookcase in order, starting with the top shelf. How many books are on the third shelf of the last bookcase?

Ans: a) We need 9 bookcases.

          b) There are 19 books on the third shelf of last bookcase.

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