ADDING INTEGERS WITH DIFFERENT SIGNS
To add integers with different signs, subtract the lesser absolute value from the greater absolute value. Use the sign of the integer with the greater absolute value for the sum.
The following steps will be useful to find the sum of two numbers with different signs.
Step 1 :
Find the absolute values of both the numbers.
Step 2 :
Find the difference between the absolute values.
Step 3 :
Take the sign of the number with the greater absolute value for the result received in step 2 .
Example 1 :
Find the sum :
-11 + 6
Solution :
Find the absolute values of both the numbers.
|-11| = 11
|6| = 6
Find the difference between the absolute values.
|-11| - |6| = 11 - 6
|-11| - |6| = 5
Take the sign of the number with the greater absolute value.
-11 + 6 = -5
Example 2 :
Find the sum :
7 + (-3)
Solution :
Find the absolute values of both the numbers.
|7| = 7
|-3| = 3
Find the difference between the absolute values.
|7| - |-3| = 7 - 3
|7| - |-3| = 4
Take the sign of the number with the greater absolute value.
7 + (-3) = 4
Example 3 :
Find the sum :
-7 + 3
Solution :
Find the absolute values of both the numbers.
|-7| = 7
|3| = 3
Find the difference between the absolute values.
|-7| - |3| = 7 - 3
|-7| - |3| = 4
Take the sign of the number with the greater absolute value.
-7 + 3 = -4
Example 4 :
Find the value of a, if a > 0.
11 + (-16) = -a
Solution :
11 + (-16) = -a -----(1)
Find the absolute values of 11 and -16.
|11| = 11
|-16| = 16
Find the difference between the absolute values.
|-16| - |11| = 16 - 11
|-16| - |11| = 5
Take the sign of the number with the greater absolute value.
11 + (-16) = -5 -----(2)
From (1) and (2),
-a = -5
Multiply each side by -1.
a = 5
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
If you have any feedback about our math content, please mail us :
v4formath@gmail.com
We always appreciate your feedback.
You can also visit the 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
Trigonometry 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
-
How to Find the Product of Three Binomials
Oct 22, 21 01:12 AM
How to Find the Product of Three Binomials
-
Recurring Decimals to Fractions Worksheet
Oct 21, 21 10:04 PM
Recurring Decimals to Fractions Worksheet
-
Recurring Decimals to Fractions
Oct 21, 21 09:59 PM
Recurring Decimals to Fractions
