Zaira - Maths Equations Test 01

BODMAS is an acronym that defines the order of operations in mathematical expressions.

Calculations inside brackets are always performed first.

Orders refer to powers or roots.

Carry out both division and multiplication from left to right.

Perform both addition and subtraction from left to right.

To solve: 7 × (8 – 3), compute 8-3 first.

In 7 + 9 × 2, perform multiplication before addition.

In 10 – 9 ÷ 3, perform division before subtraction.

Parenthesis must be evaluated before any other operations.

Terms within the parenthesis must follow BODMAS.

When no parenthesis are present, multiplication and division take precedence over addition and subtraction.

When operations are of equal priority, solve from left to right.

Evaluate brackets: (12 + 8) ÷ 4 = 20 ÷ 4 = 5.

Multiply before subtracting: 4 × 6 – 14 = 24 – 14 = 10

Divide before adding: 8 × 3 + 6 = 24 + 6 = 30

Solve the values within the parethensis: 3 × (15 – 9) = 3 x 6 = 18

If there are exponents you must evaluate the exponent first.

Solve the equation within parenthesis before carrying out the multiplying: 4 × 12 – 25 = 23. 4 x 12 = 48. 48 - 25 = 23. The missing number is: 12

Isolate the dividened: (26 – 10) ÷ 4 =4. The missing number is 4.

If performing multiple operations, remember to use BODMAS to identify the order you complete the equation.

Solve (19 – 7) + 82 + 9. = 12 + 82 + 9 = 94 + 9 = 103

If there is a missing number, and numbers on both sidse of the equation, preform algebraic manipulation to isolate for the unknown.

Evaluate expression inside the parenthesis first (3 + 6) = 9 and (8 – 5) = 3, then multiply: 9 x 3 = 27

Multiply 8 and 9 first: 7 + (8 × 9) – 4 = 7 + 72 - 4 = 75

Evaluate inside of parenthesis first, then multiply: 8 × (6 + 3) + 5 = 8 x 9 + 5 = 77

Multiply 8 and 9 first: 23 – 3 × (5 + 8) = 23 – 3 x 13 = -16

Evaluate 7 x (12 – 5) first: 8 + 7 × (12 – 5) = 8 + 7 x 7 = 57

6 × 7 – 4 × 8 = 10. (6 x 7) - (4 x 8) = 42 - 32 = 10. No brackets are needed here!

9 × 7 – 6 × 3 = 27. 9 × (7 – 6) × 3 = 27. 9 x 1 x 3 = 27.

5 + 11 ÷ 7 – 3 = 4 results in (5 + 11) ÷ (7 – 3) = 4

Remember that all combinations of number cards may result in multiple answers.

Order is the second operation to complete within BODMAS, orders refers to raising to the power, or finding the root of an integer.

Division and Multiplication are of equal importance so solve from left to right. Example: 10 / 2 * 5 = 25 as 5 * 5 = 25

The next operation to perform within the BODMAS ruleset is addition and subtraction.

Addition and subtraction are of equal importance so solve from left to right. Example: 8 + 7 - 4 = 11 as 15 - 4 = 11

If a number has an exponential perform this once you have solved the values in the parenthesis.

Evaluate inside of parenthesis first, then multiply the result by the number within the equation. E.g. Solve the equation (8 + 5) × 2

First multiply by 3, then take away 7 for the result: 3 × (5 + 8). (5+8) = 13. So then do: 3 x 13 = 39. Then subtract 39 from 23= 16.

Before removing numbers evaluate everything within the parenthesis using BODMAS. Example: 12 ÷ 6 × (4 – 3) = 2.

Remember that some calculations may not require any brackets to solve.

Brackets isolates the operations within it.