Skip to content
Bayati

Negative numbers in everyday life

Negative numbers are numbers with a minus in front. You need them when something is below zero – for example in the cold, with debt or under the sea.

approx. 7 min · Grade 7 · Rational numbers

Colder than zero? That works.

In Antarctica it was once almost 90 degrees below zero. Nobody has ever measured anything colder on Earth.

How do you write that as a number? Look at a thermometer. In the middle there is a line. That is where the 0 is. If it is colder than 0 degrees, the column is below this line. Then you write a minus in front of the number.

So 5 degrees below zero is −5-5 °C. Numbers with a minus are called negative numbers. Numbers above zero are called positive numbers.

Thermometer: the column falls from 9 °C below the zero line to −5 °C.freezing point

The freezer is 18 degrees below zero. How do you write that as a number?

Type your answer, for example −5. Then check.

Zero is not nothing

With gummy bears, 0 means there are none. With temperature it is different. At 0 degrees it is still cold. That is exactly when water turns into ice.

Here, zero is a line. From this line you count up and down. You find a zero line like this in many places.

One zero line through four examples: a thermometer, a mountain and a basin by the sea, a bank balance and a lift – everything goes above and below the line.freezing pointsea levelaccount evenground floor
  1. 1
    Thermometer

    At 00 °C water turns into ice. Below that it is minus degrees.

  2. 2
    Map

    00 m is the height of the sea, called sea level. Germany’s highest mountain, the Zugspitze, is 29622962 m high. The shore of the Dead Sea is at −430-430 m.

  3. 3
    Bank account

    00 € means you have nothing and you owe nothing. If you owe the bank 20 €, it says −20-20 €.

  4. 4
    Lift

    00 is the ground floor. The car park below is −1-1.

The minus hides in words

In everyday life hardly anyone says “minus”. People say words like below, deeper or debt. These words mean minus. Watch out for them when you read.

A diver sinks 12 m below the surface; the scale shows −12 m.water surface
  1. 1
    A diver is 12 m below the water.
    −12 m-12\text{ m}
  2. 2
    Lena has 15 € of debt.
    −15 €-15\text{ €}
  3. 3
    The deepest spot in the sea is about 11,000 m deep.
    −11 000 m-11\,000\text{ m}
  4. 4
    Outside it is 12 degrees above zero.
    +12 ∘C+12\,^{\circ}\mathrm{C}

The minus sticks to the number

You know the minus from doing sums. 8−38 - 3 means: take 3 away. With −7-7 it is different. Here you do not calculate anything.

The minus sticks to the 7. It only says: this number is below zero. A minus like this is called a sign. −7-7 is a normal number. It is 7 steps below zero.

Is a number missing in front of −7-7?

Choose an answer. Then check.

Why −10 is less than −2

Which is colder: −10-10 °C or −2-2 °C? At −10-10 °C it is colder. You need the thicker coat.

Still, many people think: 10 is more than 2, so −10-10 is more. That is not true. Look at the thermometer. −10-10 is further down than −2-2. Further down means colder and less.

Thermometer: the column falls from −2 °C to −10 °C; −10 is further down, so it is colder and less.further down = colder = less

A submarine is at −200-200 m. A diver is at −12-12 m. Who is deeper?

Choose an answer. Then check.

Where are you – and which way?

These two sentences sound almost the same. But they mean different things.

“It is −3-3 °C.” That is a value. It tells you where the temperature is right now.

“The temperature drops by 3 degrees.” That is a change. It tells you that it gets 3 degrees colder.

An example: in the morning it is 55 °C. Then the temperature drops by 3 degrees. Now it is 22 °C. It is not −3-3 °C.

Thermometer: value 5 °C, the temperature drops by 3 degrees to 2 °C. −3 °C would be wrong and is crossed out.valuechange

In the afternoon it is 77 °C. By the evening the temperature drops by 4 degrees. How warm is it in the evening?

Type your answer, for example −5. Then check.

Try it

Questions from the app, right here. In the app they reshuffle every time.

Question 1 · Easy

The ground floor is 0. The elevator stops at underground level 2. Which number is on the display?

Choose an answer. Then check.

Question 2 · Easy

The thermometer shows −3 °C. Mark this value on the scale.

Drag the column to the right spot. Then check.

−10−50510
Your answer?
Question 3 · Medium

Water freezes at 0 °C. It is another 20 degrees colder in the freezer. What is the temperature as a number?

Type your answer, for example −5. Then check.

What comes next

  • The number linesoon

Learn negative numbers in everyday life step by step in the app

Log inCurrently in closed beta – log in by invitation only.