Negative Numbers and Owing Money

Math Interactive lesson Free to play

Negative numbers are numbers less than zero, written with a minus sign in front, like -3 or -5. They sit to the left of zero on the number line, while the numbers children already know (1, 2, 3 and so on) sit to the right as positive numbers. Zero itself is neither positive nor negative — it is the dividing point between the two.

Negative numbers show up in everyday situations. A temperature below freezing, such as -2°C, is colder than 0°. Owing money is another common example: if you have $3 you write +3, but if you owe a friend $4 you have -4, because you have less than nothing of your own. The further left a number is on the number line, the smaller it is, so -5 is smaller than -2.

The key ideas a learner grasps are reading and writing negatives with the minus sign, ordering and comparing them on a number line, and counting backwards through zero into negative values — for example, spending $5 when you only have $2 leaves you at -3.

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Frequently asked questions

What is a negative number?
A negative number is any number less than zero, written with a minus sign in front, such as -1, -2 or -7. On a number line, negative numbers are found to the left of zero.
How do negative numbers relate to owing money?
When you owe money you have less than nothing of your own, so it is shown as a negative amount. If you owe a friend $4, your money position is -$4, which is below zero.
Is zero a positive or a negative number?
Zero is neither positive nor negative. It is the starting point in the middle of the number line, with positive numbers to its right and negative numbers to its left.
Which is bigger, -2 or -5?
-2 is bigger than -5. The further left you move on the number line, the smaller the number becomes, so -5 is smaller because it is further from zero on the negative side.
Can you have a temperature below zero?
Yes. Temperatures colder than freezing are written as negative numbers, like -2°C. The lower the negative number, the colder it is.

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