ADDING AND SUBTRACTING NEGATIVE NUMBERS
Adding and subtracting negative numbers :
Whenever we want to simplify two numbers, first we have to check if numbers are having same sign or different sign.
- If both numbers are having same signs, then add both numbers and tag greater number sign for the answer.
- If both numbers are having different signs, then subtract the smaller number from the greater number and tag the greater number sign for the answer.
Let us see some example problems to understand the concept.
Example 1 :
Simplify (–10) + (+17)
Solution :
= –10 + 17
By considering the above numbers, both are having different signs. So,
Subtract the smaller number from greater number and tag greater number sign.
= +7
Hence, 7 is the answer.
Example 2 :
Simplify (+20) + (–13)
Solution :
= (+20) + (–13)
= +20 –13
By considering the above numbers, both are having different signs.
Subtract the smaller number from greater number and tag greater number sign.
= +7
Hence, 7 is the answer.
Example 3 :
Simplify (–50) + (–20)
Solution :
= (–50) + (–20)
= –50 – 20
By considering the above numbers, both are having same signs.
Add both numbers and tag greater number sign.
= -70
Hence, -70 is the answer.
Example 4 :
Simplify (+40) + (+70)
Solution :
= (+40) + (+70)
= + 40 + 70
By considering the above numbers, both are having same signs.
Add both numbers and put greater number sign.
= + 110
Hence, 110 is the answer.
Example 5 :
Simplify (+18) + (–75)
Solution :
= (+18) + (–75)
= +18 –75
By considering the above numbers, both are having different signs.
Subtract the smaller number from greater number, put greater number sign.
= - 57
Hence, -57 is the answer.
Example 6 :
Simplify (+75) + (–75)
Solution :
= (+75) + (–75)
= + 75 – 75
By considering the above numbers, both are having different signs.
Subtract the smaller number from greater number, put greater number sign.
= 0
Hence, 0 is the answer.
Example 7 :
Simplify (–30) + (12)
Solution :
= (–30) + (12)
= –30 + 12
By considering the above numbers, both are having different signs.
Subtract the smaller number from greater number, put greater number sign.
= -18
Hence, -18 is the answer.
Example 8 :
Simplify (–30) + (–22)
Solution :
= (–30) + (–22)
= –30 – 22
By considering the above numbers, both are having same signs.
Add both numbers and put greater number sign.
= - 52
Hence, -52 is the answer.
After having gone through the stuff given above, we hope that the students would have understood "Adding and subtracting negative numbers".
Apart from the stuff, 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
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
Recent Articles
-
Adding Mixed Numbers with Unlike Denominators
Sep 22, 19 09:19 AM
Adding Mixed Numbers with Unlike Denominators - Concept - Examples with step by step explanation
-
Solving Word Problems Involving Quadratic Equations Examples
Sep 22, 19 06:43 AM
Solving Word Problems Involving Quadratic Equations Examples
-
Solving Quadratic Equations by Factoring Using Box Method
Sep 22, 19 06:27 AM
Solving Quadratic Equations by Factoring Using Box Method - Concept and examples with step by step solution
