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NEXUS

There are a number of rules you will need to know when working with negative numbers (sometimes called directed numbers).

There are two signs in maths, a plus and a minus. If you every have a situation where you have two of these together, there is a rule that decides which to pick.

If the signs are the **same**, then replace them with a **plus**. If the signs are the **different**, then replace them with a **minus**.

\[5 +- 1\]

The +- has different signs, so replace it with a minus.

\[5 - 1 = 4\]

When adding with negative numbers, we use the number line. Start at the number, then count the 'jumps' to the right.

\[-4 + 3\]

Start at -4 on the number line and jump 3 to the right.

\[-4 + 3 = -1\]

We also use the number line when subtracting. Start at the number, then count the 'jumps' to the left.

\[2 - 5\]

Start at 2 on the number line and jump 5 to the left.

\[2 - 5 = -3\]

When multiplying with negative numbers, start by comparing the signs.

If the signs are the **same**, then the answer will be **positive**. If the signs are the **different**, then the answer will be **negative**.

\[-2 \times 5\]

The signs are different, so the answer will be negative. We can then multiply the 2 and the 5 to find the answer.

\[-2 \times 5 = -10\]

Divisions follows the same rules as multiplications.

If the signs are the **same**, then the answer will be **positive**. If the signs are the **different**, then the answer will be **negative**.

\[-12 \div -4\]

The signs are the same, so the answer will be positive. We can then divide the 12 by the 4 to find the answer.

\[-12 \div -4 = 3\]

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