Introduction of Addition Property of Order:
Let now explain about the addition property with example.
Example: c < d, the expression shows that the number c is less than the number. When add the number ‘’a’’ on the both side of the expression, the relation does not change.
C + a < d + a; Thus by using addition property we can order the number from smallest to largest or vice versa (ascending or descending order) otherwise to find the number is equality or inequality.
Example Problem – Addition Property of Order:
Example 1:
Solve the expression by using addition property of order X – 5 < 17 and check the expression by getting the value of X.
Solution:
Given: The expression is X – 5 < 17
Step 1: By using addition property we can add the number 5 on both sides of the expression, we get
X – 5 + 5 < 17 + 5
Step 2: Opposites sign of the number 5 to be canceling each other.
Step 3: So we get X is less than 22
X < 22
Check the expression X – 5 < 17 by putting the value of X = 22
Step 1: The given expression X – 5 < 17
Case 1:
If the value of X = 22, then the expression get equality form such as 22 – 15 = 17
Case 2: We get the X value as less than 22, so the value of X is 21 or less than 21 (may be up to negative infinity)
Let we put the X value is 21, we get
21 – 5 < 17
16 < 17, thus we proved that the number 16 is less than 17.
Example 2:
Prove by using then addition property of the number 7 is greater than 5.
Solution:
Given: 7 > 5
Step 1: First we add any number; let take the number 2 is added to the left hand side of the expression.
7 +2 = 9
Step 2: Then we add the number to the right hand side of the expression, we get
5 + 2 = 7
Step 3: Compare the result of the above two steps.
Thus the number 9 is greater than 7; 9 > 7
Therefore we proved that the number 7 is greater than 5
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Practice Problems – Addition Property of Order:
1. Solve the expression by using addition property of order X – 5 < 15
Answer: X = 19 or less than 19
2. Solve the expression by using addition property of order Y – 5 = 18
Answer: Y = 23
Let now explain about the addition property with example.
Example: c < d, the expression shows that the number c is less than the number. When add the number ‘’a’’ on the both side of the expression, the relation does not change.
C + a < d + a; Thus by using addition property we can order the number from smallest to largest or vice versa (ascending or descending order) otherwise to find the number is equality or inequality.
Example Problem – Addition Property of Order:
Example 1:
Solve the expression by using addition property of order X – 5 < 17 and check the expression by getting the value of X.
Solution:
Given: The expression is X – 5 < 17
Step 1: By using addition property we can add the number 5 on both sides of the expression, we get
X – 5 + 5 < 17 + 5
Step 2: Opposites sign of the number 5 to be canceling each other.
Step 3: So we get X is less than 22
X < 22
Check the expression X – 5 < 17 by putting the value of X = 22
Step 1: The given expression X – 5 < 17
Case 1:
If the value of X = 22, then the expression get equality form such as 22 – 15 = 17
Case 2: We get the X value as less than 22, so the value of X is 21 or less than 21 (may be up to negative infinity)
Let we put the X value is 21, we get
21 – 5 < 17
16 < 17, thus we proved that the number 16 is less than 17.
Example 2:
Prove by using then addition property of the number 7 is greater than 5.
Solution:
Given: 7 > 5
Step 1: First we add any number; let take the number 2 is added to the left hand side of the expression.
7 +2 = 9
Step 2: Then we add the number to the right hand side of the expression, we get
5 + 2 = 7
Step 3: Compare the result of the above two steps.
Thus the number 9 is greater than 7; 9 > 7
Therefore we proved that the number 7 is greater than 5
Stuck on any of these topics cbse 10th syllabus, cbse online try out some best online tutoring math website.
Practice Problems – Addition Property of Order:
1. Solve the expression by using addition property of order X – 5 < 15
Answer: X = 19 or less than 19
2. Solve the expression by using addition property of order Y – 5 = 18
Answer: Y = 23
