Addition of Integers
We will learn addition of integers using number line.
We know that counting forward means addition.
Addition of Two Positive Integers:
When we add
positive integers, we move to the right on the number line.
For example to add
+2 and +4 we move 4 steps to the right of +2.
Thus, +2 +4 = +6.
Addition of Two Negative Integers:
When
we add two negative integers, we move to the left on the number line.
For example to add -2 and -4 we move 4 steps to the left of -2.
Thus, -2 + (-4) = -6.
Addition of a Negative Integer and a Positive Integer:
When a negative integer is added to a positive integer we
move to the left on the number line.
For example to add +2 + (-4), we move 4
steps to the left of +2.
Thus, +2 + (-4) = -2.
Addition of a Positive Integer and a Negative Integer:
When a positive integer is added to a negative integer we
move to the right on the number line.
For example to add (-6) + 3, we move 3
steps to the right of -6.
Thus, (-6) + 3 = -3.
We can add two integers having same sings by adding their
absolute values and placing the common sign of two integers before it.
Solved Examples on Addition of Integers:
1. Find the value +18 + (+5)
Solution:
Absolute value of |+18| = 18
Absolute value of |+5| = 5
Sum of absolute values = 18 + 5
Since, both integers have common sign +, we place + sign in
the answer.
Hence, +18 + (+5) = +23.
We can add two integers having opposite signs by finding
difference of their absolute values and placing the sign of the integer with
the greater absolute value before it.
2. Find the value -38 + (+28)
Solution:
Absolute value of |-38| = 38
Absolute value of |+28| = 28
Difference of absolute values = 38 – 28 = 10
Placing the sign of the integer with the greater absolute
value = -10
Hence, -38 + (+28) = -10.
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In 5th Grade Integers Worksheet we will solve how to show the given integers on the number line, addition and subtraction of integers using number line, comparison of integers, absolute value of an integer, true or false statements of integers and word problems on integers.
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We will learn subtraction of integers using number line. We know that subtraction is the inverse of addition. Therefore, to subtract an integer, we add its additive inverse. For example, to find +5 – (+3), we add +5 + (-3). So, on the number line, we move to the left of +5
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Absolute value of an integer is its numerical value without taking the sign into consideration. The absolute values of -9 = 9; the absolute value of 5 = 5 and so on. The symbol used to denote the absolute value is, two vertical lines (| |), one on either side of an integer.
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What are integers? The negative numbers, zero and the natural numbers together are called integers. A collection of numbers which is written as... -4, -3, -2, -1, 0, 1, 2, 3, 4.. . These numbers
5th Grade Numbers Page
5th Grade Math Problems
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