 # Negative Numbers in Daily Life  View Notes

## The Number Line

Relationship between the positive and negative numbers in daily life , as well as zero is normally expressed in the form of a number line shown below:

Numbers that appear farther to the right on the number line are greater, whole numbers that appear farther to the left are less. Thus zero appears generally in the middle of the number line, with the positive numbers to the right of the line and the negative numbers to the left of the number line.

See that a negative number having a greater magnitude is considered far less. Example, even though (positive) number 8 is bigger than (positive) 5, it is written as

8 > 5

Where a negative 8 is taken to be less than negative 5:

-8 < -5.

(Because, for example, if you have £-8, a debt of £8, you would have less after adding, say £10, to it than if you have £-5.) It follows that any negative number is a smaller amount than any positive number, so

-8 < 5  and -5 < 8.

In this article we are going to understand the importance of positive and negative numbers in daily life ,how do you use negative and positive numbers in daily life, and where do we use negative numbers in our daily life.

### What are Integers?

• Collection of all positive as well as negative numbers including zero are referred to as integers. ⇒ Numbers such as…, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, … are known to be integers.

Representing Integers on the Number Line

• First we have to draw a line and mark to some extent as 0 is there.

• The points which are marked to the left side (-1, -2, -3, -4, -5, -6) are known as negative integers.

• The points that are marked to the right (1, 2, 3, 4, 5, 6) or (+1, +2, +3, +4, +5, +6) are known as positive integers.

Positive Integer + Negative Integer

• Example: (+5) + (-2) Subtract: 5 - 2 = 3 Sign of larger integer (5): + Answer: +3

• Example: (-5) + (2) Subtract: 5-2 = 3 Sign of larger integer (-5): - Answer: -3

Positive Integer + Positive Integer

• Example: (+5) + (+2) = +7

Negative Integer + Negative Integer

• Example: (-5) + (-2) = -7

### Subtraction of Integers

Rule 1: Subtracting a +ve number with a +ve number - it is just our normal subtraction.

For example:  this is often what you've learned before. 6 - 3 are two positive numbers. So solve this equation the way you usually have: 6 - 3 = 3.

Rule 2: Subtracting a +ve number from a -ve number - count backwards starting at the negative number.

For example: Suppose, we’ve the problem given as -2 - 3. Using the number line, we start at -2 point.

Now let’s count backwards 3 units. Now we keep counting from the back, three spaces starting from -2 on the given number line.

The answer is -2 - 3 = -5.

Rule 3: Subtracting a -ve number from a -ve number - A symbol which is followed by a negative sign, it turns the two given signs into a symbol.

So, rather than subtracting a negative, you're adding a positive. Basically, - (-4) becomes +4, then you add the numbers.

For example, say we have the numbers -2 - -4. This would read “negative two minus negative 4”. So we’re changing the 2 negative signs into a positive, therefore the equation now becomes -2 + 4.

On the number line, it starts at -2.

Then we move forward 4 units: +4.

The answer is -2 - (-4) = 2.

### Use of Negative Numbers in Daily Life

Irrespective of their value, they need a broad connection to lifestyle . These numbers are widely used in different fields. Some of the real-life examples are given below.

When are negative numbers used in daily life and the use of negative numbers in daily life Everyday Examples.

Use of negative numbers in daily life are taken into account in many different situations. Temperature You examine negative numbers in weather reports and on food packaging. The given  temperature -5°C is ‘-ve five degrees’ and it means that it is 5 degrees below 0. For Buildings when we watch the floors as we go down in a lift, starting from the third floor we see that: 3, 2, 1, 0, -1, -2 during this particular example of the building, -2 is in the second floor of the underground.

For a Bank statement If you spend some extra money more than you've got in your checking account then it shows up as a negative number balance. Normally,these numbers are written in red letters, with a negative mark in front of them, most likely you’ll see the letters as DR. All these points towards the account to be overdrawn.

1. ### Finance and Banking

Here’s one field where we see the use of negative numbers in daily life. Finance and banking are all about the money, credit, and debit. Therefore, we'd like some numbers which help differentiate a credit amount from debit amount. Another part is the profit and loss. All these are mathematically expressed by using positive and negative integers. If someone debited to someone it's represented by a sign . The stock exchange is another field which widely uses negative integers to point out its share price and ups and downs.

1. ### Science

Use of Negative Numbers in Daily Life is usually observed in weather broadcasting. Thermometers are vertical number lines that measure the temperature of a body also because of the temperature of a neighborhood . Meteorologists use negative numbers to point out the cold condition of a neighborhood like -15 ˚ C. Even when the blood heat goes down a negative integer is employed to represent the condition. Temperature below zero marked with negative sign while a temperature is above zero which is denoted with the positive sign. Other conditions that normally depend on the integers are batteries, sign, overweight and underweight. There are many more use of negative numbers in daily life.

Question 1) Which is Higher in Negative Numbers?

Answer)  On the given number line, the negative numbers are to the left of zero. -5 is a smaller amount than 4 because -5 lies to the left of 4 on the given number line. -1 is bigger than -3 because -1 lies to the proper of -3 on the number line.

Question 2) What is the Formula for Negative Numbers?

 Rule Example +(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5 -(-) 6-(-3) = 6 + 3 = 9 +(-) Two unlike signs become a negative sign. 7+(-2) = 7 - 2 = 5 -(+) 8-(+2) = 8 - 2 = 6

Question 3) What are the Negative Numbers Called?

Answer) A negative number is a number that indicates the opposite. The positive numbers, negative numbers, and therefore the number zero, taken together, are called "signed numbers" or integers. The number zero is neither positive nor negative.

Question 4) Is 0 a Negative Number?

Signed Numbers

Because zero is neither positive nor negative, the term non - negative usually wants to ask for a variety that's either positive or zero, while nonpositive is employed to refer to a variety that's either negative or zero. Zero is a neutral number.

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