ADDING INTEGERS WITH DIFFERENT SIGNS
In this web page,"adding integers with different signs" we are going to see how to simplify two numbers with different signs.
Rules of adding integers with different signs
|
Sign of first and second number |
What do we have to do? |
|
+ + - - |
Add both numbers and put "big number" sign for the answer. |
|
+ - (or) - + |
Subtract small number from large number and put "large number" sign for the answer. |
The above rule is applicable for simplifying any two or more integers,fractions and decimals.
Easy way of understanding this concept:
This flowchart will explain you how to handle two numbers with different symbol.
 |
 |
how do you find the sign of answer,when adding integers with different signs?
Note: Always we have to put big number symbol for answer.
Examples
(1) Simplify -5 + 3
What we have to check?
Consider the symbol of two numbers. The symbol of first number is negative and the symbol of second number is positive.
Do we have to add or subtract?
Since the symbols of both numbers are different we have to subtract small number from large number.Here small number is 3 and large number is 5. By subtraction we will get 2.
What symbol we have to put for answer?
We have to put symbol of big number. Here the big number is 5 and we have negative symbol for this.
-5 + 3 = -2 is the answer.
We have explained this concept in the below flowchart.
(2) Simplify -15 + 13 - 27 - 43 + 77
First we have to write the numbers which are having same symbol.Here the numbers 15,27 and 43 are having same symbol
= - 15 - 27 - 43 + 13 + 77
Common sense explanation for rules of adding positive and negative numbers:
We are doing two different business,in that + represents profit and - represent loss
|
+ + |
We get profit from two different business.To find total profit we have to add. |
|
- - |
We get loss from two different business.To find total loss we have to add. |
|
+ - |
We get profit from one business and loss from other business.To find how much we lost we have to subtract. |
|
- + |
We get loss from one business and profit from other business.To find how much we lost we have to subtract. |
WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
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
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
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
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 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
