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X-3/4,y-5/6,z- -7/8 Verify x (y z)-(x y) z?
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X-3/4,y-5/6,z- -7/8 Verify x (y z)-(x y) z?
Verification of x(yz) - (xy)z
We need to verify if the expression x(yz) - (xy)z is true for the given values of x, y, and z.
Expand the expression
x(yz) = xyz (using the associative property of multiplication)
(xy)z = xyz (using the associative property of multiplication)
Now, we can substitute these values into the original expression:
x(yz) - (xy)z = xyz - xyz
Simplify the expression
xyz - xyz = 0
Therefore, x(yz) - (xy)z = 0.
Explanation
The expression x(yz) - (xy)z is an example of the associative property of multiplication. This property states that the order in which we multiply three or more numbers does not affect the result. In other words, (a × b) × c = a × (b × c).
To verify the expression, we simply need to expand it and simplify it. In this case, we see that the expanded expression results in 0, which means that the original expression is true and that the property holds for the given values of x, y, and z.
Conclusion
In conclusion, the expression x(yz) - (xy)z is true for the given values of x, y, and z. This is an example of the associative property of multiplication, which states that the order in which we multiply three or more numbers does not affect the result.
We need to verify if the expression x(yz) - (xy)z is true for the given values of x, y, and z.
Expand the expression
x(yz) = xyz (using the associative property of multiplication)
(xy)z = xyz (using the associative property of multiplication)
Now, we can substitute these values into the original expression:
x(yz) - (xy)z = xyz - xyz
Simplify the expression
xyz - xyz = 0
Therefore, x(yz) - (xy)z = 0.
Explanation
The expression x(yz) - (xy)z is an example of the associative property of multiplication. This property states that the order in which we multiply three or more numbers does not affect the result. In other words, (a × b) × c = a × (b × c).
To verify the expression, we simply need to expand it and simplify it. In this case, we see that the expanded expression results in 0, which means that the original expression is true and that the property holds for the given values of x, y, and z.
Conclusion
In conclusion, the expression x(yz) - (xy)z is true for the given values of x, y, and z. This is an example of the associative property of multiplication, which states that the order in which we multiply three or more numbers does not affect the result.
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X-3/4,y-5/6,z- -7/8 Verify x (y z)-(x y) z?
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X-3/4,y-5/6,z- -7/8 Verify x (y z)-(x y) z?
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X-3/4,y-5/6,z- -7/8 Verify x (y z)-(x y) z? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about X-3/4,y-5/6,z- -7/8 Verify x (y z)-(x y) z? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X-3/4,y-5/6,z- -7/8 Verify x (y z)-(x y) z?.
X-3/4,y-5/6,z- -7/8 Verify x (y z)-(x y) z? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about X-3/4,y-5/6,z- -7/8 Verify x (y z)-(x y) z? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X-3/4,y-5/6,z- -7/8 Verify x (y z)-(x y) z?.
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