# Basic Algebra/Introduction to Basic Algebra Ideas/Simple Operations

## Contents

## Vocabulary[edit]

- Operation
- Equals Sign
- Adding
- Subtracting
- Multiplying
- Dividing
- Remainder
- Parity
- Common denominator
- Absolute value
- Inverse

## Lesson[edit]

An ''*operation " is a thing you do to numbers. You use signs like:*

**+**,

**–**,

**×**, or

**÷**for operations.

The **Equals Sign** is not an operation. You use the " **=** " sign for the Equals Sign. It is a special sign that you put between two things that are the same.

### Adding[edit]

Adding is a way to put two numbers together. You use the " **+** " sign for the adding operation. If you have 5 apples and a friend has 6 apples, you and your friend have 11 apples. This is **5 + 6 = 11** using the signs of Math, and is read **"five plus six equals eleven"**.

Order is not important when adding. **2 + 3** is the same as **3 + 2**.

### Subtracting[edit]

Subtracting is a way of taking a number out from another number. It is the opposite of adding. You use the " **–** " sign for the subtracting operation. If you have 5 apples and give 3 to a friend, you then have 2 apples. This is **5 – 3 = 2** using the signs of Math. Read this **"five minus three equals two"**.

Order is important when subtracting. **3 – 2** is not the same as **2 – 3**.

### Multiplying[edit]

Multiplying is a way of adding a number many times. You use the " **×** ", " **•** " or " ***** " sign for the multiplying operation. If you have 4 apple trees and every tree has 25 apples, you have 100 apples. This is **4 × 25 = 100** or **25 + 25 + 25 + 25 = 100** in the signs of Math. The first way is shorter and easier to use.

Multiplying 25 by 4 is the same as adding 25, 4 times or adding 4, 25 times.

**4 x 25 = 100** should be read **"four times twenty-five equals one hundred"**.

Order is not important when multiplying. **2 × 3** is the same as **3 × 2**.

### Dividing[edit]

Dividing is a way of subtracting a number many times. It is the opposite of multiplying. You use the " **÷** " or " **/** " sign for the dividing operation. If 3 friends take an equal part of a bag of 12 apples, every friend gets 4 apples. Or, you may take away (subtract) 3 apples from the bag of 12 apples, exactly 4 times until the bag is empty. This is **12 ÷ 3 = 4** or **12 – 3 – 3 – 3 – 3 = 0** in the signs of Math.

**12 ÷ 3 = 4** should be read **"twelve divided by three equals 4"**.

Order is important when dividing. **3 ÷ 2** is not the same as **2 ÷ 3**.

## Example Problems[edit]

- 3 + 4 = 7
- 5 – 3 = 2
- 6 × 2 = 12
- 13 + 14 = 27
- 36 - 5 = 31
- 21 – 9 = 12
- 8 × 3 = 24

## Practice Games[edit]

## Practice Problems[edit]

- 6 + 8 =
- 3 + 4 =
- 10 + 15 =
- 28 + 13 =
- 36 – 5 =
- 16 – 3 =
- 7 × 5 =
- 8 × 4 =
- 6 × 6 =
- 14 ÷ 7 =
- 15 ÷ 3 =
- 40 ÷ 5 =

- 6 + 8 =14
- 3 + 4 =7
- 10 + 15 =25
- 28 + 13 =41
- 36 – 5 =31
- 16 – 3 =13
- 7 × 5 =35
- 8 × 4 =32
- 6 × 6 =36
- 14 ÷ 7 =2
- 15 ÷ 3 =5
- 40 ÷ 5 =8