Monday, October 1, 2012

Practicing Integers

Introduction to Practicing Integers:
                 An integer is a set of whole numbers. Whole numbers above zero is said to be positive integers denoted as ‘+’ sign and whole numbers below zero is said to be negative integers denoted as ‘-‘ in a number line. Zero is said to be neither negative nor positive integer and it does not constant. Here, integers can be performed with four basic operations such as addition, subtraction, multiplication, and division. The positive integers can be written with or without the sign. Let us see practicing integers in this article.

Practicing Integer Problems - Practicing Adding Integers in Math

Adding same signed Integers:
Example 1:
4 + 2
Solution:
The absolute value of 4 and 2 is 4 and 2. Put the positive sign before the sum of two integers.
4 + 2 = 6
Therefore, the solution for adding 4 and 2 is 6.
Example 2:
(-4) + (-8)
Solution:
The absolute value of -4 and -8 is 4 and 8. Put the negative sign before the sum of two integers.
(-4) + (-8) = - (4 + 8) = - 12
Therefore, the solution for adding -4 and  -8 is -12.
Adding different signed Integers:
Example 3:
5 + (-5)
Solution:
The absolute value of 5 and -5 is 5 and 5. Put the sign of larger number sign before the sum of two integers.
5 – 5 = 0
Therefore, the solution for adding 5 + (-5) is 0.

Practicing Subtracting Integers in Math

Example 4:
7 - (-2)
Solution:
The absolute value of 7 and -2 is 7 and 2. Subtract the integers and put sign of larger integer before the sum.
7 – (-2) = 7 + 2 = 9
Therefore, the solution for subtracting the above integers are 9.

Practicing Multiplying Integers in Math

Multiplying same signed Integers
Example 5:
4 × 3
Solution:
The absolute value of 4 and 3 is 4 and 3. Place the same sign before the answer as it is in the given problem.
4 × 3 = 12
Therefore, the oslution for multiplying 4 and 3 is 12.
Example 6:
(-5) × (-6)
Solution:
The absolute value of -5 and -6 is 5 and 6.
- 5 × - 6 = - 30
Place the same sign before the answer as it is in the given problem -30.
Multiplying different signed Integers:
Example 7:
(-5) × (4)
Solution:
The absolute value of -5 and 4 is 5 and 4.
-5 × 4 = - 20
There is a negative sign before one of the integers in a given problem so put the negative sign before the product.
Therefore, the solution for multiplying -5 and 4 is -20.

Practicing Dividing Integers in Math

Dividing same signed Integers:
Example 8:
16 ÷ 4
Solution:
The absolute value of 16 and 4 is same.
The integer 16 is the multiple of 4 and 4.
Therefore, the solution for dividing 16 ÷ 4 is 4.
Dividing different signed Integers:
Example 9:
28 ÷ -7
Solution:
The absolute value of 28 and -7 is 28 and 7. There is a negative sign before the integers in a given problem so put the negative sign before the quotient.
The integer 28 is the multiple of 4 and 7.
Therefore, the solution for dividing 28 ÷ -7 is -4.

Problems to Practicing Integers

1. Add the two integers 3 + 5
Key: 8
2. Subtract the two integers (– 5) – (- 4)
Key: -1
3. Multiply the two integers 7 × -3
Key: -21
4. Divide the integer 15 by -5
Key: - 3

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