All operations 1-20

## Order of operations

When calculations have more than one operation, we have to follow rules for the order of operations:

**Step 1:**

From left to right, do all **multiplication and division**.

**Step 2:**

From left to right, do all

**addition and subtraction**.

However, if there are

**parentheses**or other types of brackets, do all operations that lie

**inside**them first:

The order of operations also applies while working inside parentheses:

When you have parentheses inside brackets and braces (sometimes referred as

**nested parentheses**), always work from the inside out. There are multiple types of brackets. The innermost

**parentheses/round brackets ()**are calculated first, followed by the

**brackets/box brackets []**that normally form the next layer, followed by

**braces/curly brackets {}**that form a third layer outwards:

All operations 1-100

## Order of operations

When calculations have more than one operation, we have to follow rules for the order of operations:

**Step 1:**

From left to right, do all **multiplication and division**.

**Step 2:**

From left to right, do all

**addition and subtraction**.

However, if there are

**parentheses**or other types of brackets, do all operations that lie

**inside**them first:

The order of operations also applies while working inside parentheses:

When you have parentheses inside brackets and braces (sometimes referred as

**nested parentheses**), always work from the inside out. There are multiple types of brackets. The innermost

**parentheses/round brackets ()**are calculated first, followed by the

**brackets/box brackets []**that normally form the next layer, followed by

**braces/curly brackets {}**that form a third layer outwards:

Translating verbal expressions into equations

## Basic arithmetic operations

**Sum** - outcome of adding two or more numbers

summand + summand = addend + addend = sum

Related expressions: addition, more than, total, plus, increase, altogether

Examples:

Calculate the sum of 12 and 3.

Answer: 12+3=15

What is ten more than twelve?

Answer: 10+12=22

**Difference** - outcome of subtracting two numbers

minuend – subtrahend = difference

Related expressions: minus, decrease, difference, deduct, less than, fewer than, take away

Examples:

Calculate the difference of 12 and 3.

Answer: 12−3=9

What number is ten less then twelve?

Answer: 12−10=2

What is 10 fewer than 50?

Answer: 50−10=40

The parts you subtract or add are also called **terms**.

**Product** - outcome of multiplying two or more numbers.

factor × factor = product

Example: Calculate the product of 12 and 3.

Answer: 12 × 3 = 36

**Quotient** - outcome of division of two numbers

dividend ÷ divisor = quotient

Example: Calculate the quotient of 12 and 3.

Answer: 12 ÷ 3 = 4