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

## Vocabulary[edit | edit source]

- Operation
- Equals Sign
- Adding
- Subtracting
- Multiplying
- Dividing

## Lesson[edit | edit source]

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 | edit source]

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 Mathematics, and is read **"five plus six equals eleven"**.

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

### Subtracting[edit | edit source]

Subtracting is a way of taking a number 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 left. This is **5 – 3 = 2** using the signs of Mathematics, and is read **"five minus three equals two"**.

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

### Multiplying[edit | edit source]

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 Mathematics. 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 | edit source]

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 Mathematics.

**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 | edit source]

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

## Practice Games[edit | edit source]

- Arcademics Grand Prix (Multiplication)
- Arcademics Jet Ski (Addition)
- Arcademics Sailboat (Subtraction)
- Arcademics Drag Race (Division)

## Practice Problems[edit | edit source]