# How to add and subtract integers without a number line?

A number line is a visual representation of numbers on a straight line.

## Answer: Integers can be added and subtracted without a number line in different ways depending upon the sign of the numbers.

There are some rules for doing these operations. Before we start learning these methods of integer operations, we need to remember a few things. If there is no sign in front of a number, it means that the number is positive.

## Explanation:

### Adding Integers Rule:

Case 1: Signs are the same

If the signs are the same, add and keep the same sign.

- (+) + (+) = add the numbers and the answer is positive

Example : 2 + 5 = 7

- (‐) + (‐) = add the numbers without the negative sign and place the negative sign before the answer.

Example : (-5) + (-4) = -9

Case 2: Signs are different

If the signs are different, subtract the numbers and use the sign of the larger number

- (+) + (‐) = subtract the numbers and take the sign of the bigger number

Example: 7 + (-3) = 4

- (‐) + (+) = subtract the numbers and take the sign of the bigger number

Example: (-9) + 6 = -3

### Subtracting Integers Rule:

To subtract a number from another number, the sign of the number (which is to be subtracted) should be changed and then this number with the changed sign should be added to the first number.

- (+) - (+) = Change the sign of the number to be subtracted and add them up. The result takes the sign of the greater number

Example: (+6) – (+2) = (+6) + (-2) = 6 - 2 = 4

- (-) - (-) = Change the sign of the number to be subtracted and add them up. The result takes the sign of the greater number

Example: (-9) – (-6) = (-9) + (+6) = -9 + 6 = -3

- (+) - (-) = Change the sign of the number to be subtracted and add them up. Result is always positive

Example: (+5) – (-3) = (+5) +(+3) = 5 + 3 = 8

- (-) - (+) = Change the sign of the number to be subtracted and add them up. Result is always negative

Example: (-7) – (+2) = -7 - 2 = -9

Thus, we see the rules to add and subtract integers without a number line

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