Monday, December 3, 2012

Opposite Integers

Introduction - opposite integers:

The math integer is called natural numbers, opposite integer is nothing but negative integer (-), including 0, 1, 2, 3 ... and negatives of the non-zero natural numbers (-1, -2, -3....). Integers have negative integers, positive integers; integers are viewed as subset of the real numbers, positive and negative integer’s are-3, -2, -1, 0, 1, 2, 3.... In this article we shall discuss some arithmetic operations using opposite integers.Having problem with Consecutive Integers keep reading my upcoming posts, i will try to help you.

Example Problems - Opposite Integers:

Example 1:

Adding the opposite numbers:` (-31) + (-8)`

Solution: The sum of two positive numbers will be a positive numbers.

` (-31) + (-8) = -39`

Solution is `-39.`

Example 2:

Adding the opposite numbers: `(-13) + (-14) =?`

Solution: The sum of two positive numbers will be a positive numbers.

`(-13) + (-14) = -27`

Solution is` -27.`

Opposite integers -Subtraction of negative numbers:

Example 1:

Subtracting the opposite numbers: `(-1) - (-19)`

Solution: while subtracting the two numbers, the result carries sign of larger number

` (-1) - (-19) = 18`

Solution is `18` .

Example 2: Subtracting the negative numbers:` (-23) - (-5)`

Solution: The sum of two negative numbers will be a negative number.

`(-23) - (-5) = -18`

Answer is` -18.`

Example 3: Get the value form the expanded form` -9xx 10000 - 5xx 1000 - 5 xx 10`

Solution:  `-9xx 10000 - 5 xx 1000 - 5xx 10`

` = -90000 - 5000 - 50`

`=> -95050.`

Opposite integers - multiplication problems:

Example 1:

Multiply the two opposite numbers:` -11 xx-7`

Solution:

Here `-11i` s multiplicand

`-7` is multiplier

Step1: Multiply the ones term,

Step 2: Multiply the second term (tens)

Final answer is `-77.`

Example 2:

Multiply the two opposite numbers: `-12 xx -9`

Solution:

Here` -12` is multiplicand

`-9` is multiplier

Answer is` -108`

Numbers using words - opposite integers:

Example problem 1:

Write a number using words: `95`

Solution:

`=95`

`5` is ones place

`9` is tens place.

`=90+5 = ` ninety + five

So that` 95` is become in a word, ninety five.

Example problem 2:

Write a number using words: `65`

Solution:

`=65`

`5` is ones place

`6` is tens place.

`= 60+ 5= ` sixty + five

So that `65` is become in a word, sixty-five.Is this topic how to subtract integers hard for you? Watch out for my coming posts.

Practice Problems- Opposite Integers:

Problem 1:

Sum of positive integers: `(-7) + (-7)`

Result: `-14`

Problem 2:

Sum of positive integers: `(-7) + (-1)`

Result: `-8`

Problem 3:

Sum of positive integers:` (-7) + (-2)`

Result: `-9`

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