4 Operations on Number

New Zealand

Level 3

Lesson

There are many operations we use in mathematical problems such as add (+), subtract (-), multiply (x) and divide (÷). You have been learning how to solve mathematical problems with one operation.

For example: $2\times3=6$2×3=6

$4+5=9$4+5=9

What happens when there is more than one operation in a mathematical problem. How do we know which operation to calculate first?

For example, how would we solve $6\times5+3\div1$6×5+3÷1?

Unlike reading a book, we don't perform the operations from left to right. There is a special order we use called the order of operations.

The order of operations

Step 1: Do operations inside brackets (...) (also called parentheses)

Step 2: Do multiplication and division going from left to right.

Step 3: Do addition and subtraction going from left to right.

Watch this video to learn how these rules apply to solving mathematical problems.

Evaluate $10+16\div4$10+16÷4.

Roald was making tea for $3$3 guests. He filled each cup with $300$300 mL of boiling water. He also spilt $70$70 mL of water onto the kitchen counter. The amount of water Roald used is $3\times300+70$3×300+70.

Find $3\times300+70$3×300+70, the amount of water Roald used.

Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.