# APPLYING ADDITION AND SUBTRACTION OF INTEGERS

Applying addition and subtraction of integers :

We can use what you know about adding and subtracting integers to solve  real world problems.

## Applying addition and subtraction of integers - Examples

Example 1 :

A seal is swimming in the ocean 5 feet below sea level. It dives down 12 feet to catch some fish. Then, the seal swims 8 feet up towards the surface with its catch. What is the seal’s final elevation relative to sea level ?

Solution : Step 1 :

The seal starts at 5 feet below the surface, so its initial position is -5 ft.

Write an expression.

Starts  - Dives down + Swims up

-5  -  12  +  8

Step 2 :

Add or subtract from left to right to find the value of the expression.

-5  -  12  +  8  =  -17  +  8

=  -9

The seal’s final elevation is 9 feet below sea level.

Example 2 :

Anna is in a cave 40 feet below the cave entrance. She descends 13 feet, then ascends 18 feet. Find her new position relative to the cave entrance.

Solution :

Step 1 :

Anna starts at 40 feet below cave entrance, so her initial position is -40 ft.

Write an expression.

Starts  - Descends + Ascends

-40  -  13  +  18

Step 2 :

Add or subtract from left to right to find the value of the expression.

-40  -  13  +  18  =  -53  +  18

=  -35

Anna's new position is 35 feet below the cave entrance.

Example 3 :

Tomas works as an underwater photographer. He starts at a position that is 15 feet below sea level. He rises 9 feet, then descends 12 feet to take a photo of a coral reef. Write and evaluate an expression to find his position relative to sea level when he took the photo.

Solution :

Step 1 :

Tomas starts at 15 feet below sea level, so his initial position is -15 ft.

Write an expression.

Starts  + Rises - Descends

-15  +  9  -  12

Step 2 :

Add or subtract from left to right to find the value of the expression.

-15  +  9  -  12  =  -6  -  12

=  -18

When Tomas takes photo, his position is 18 feet below the sea level.

After having gone through the stuff given above, we hope that the students would have understood "How to apply addition and subtraction of integers".

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

You can also visit our following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6 