Advertisements
Advertisements
Question
For every rational numbers x, y and z, x + (y × z) = (x + y) × (x + z).
Options
True
False
Advertisements
Solution
This statement is False.
Explanation:
For all rational numbers a, b and c.
a(b + c) = ab + ac
APPEARS IN
RELATED QUESTIONS
Verify the property: x × y = y × x by taking:
Use the distributivity of multiplication of rational numbers over their addition to simplify:
Name the property of multiplication of rational numbers illustrated by the following statements:
Name the property of multiplication of rational numbers illustrated by the following statements:
Name the property of multiplication of rational numbers illustrated by the following statements:
By what number should we multiply \[\frac{- 1}{6}\] so that the product may be \[\frac{- 23}{9}?\]
Give an example and verify the following statement.
Distributive property of multiplication over subtraction is true for rational numbers. That is, a(b – c) = ab – ac
Verify the property x + y = y + x of rational numbers by taking
`x = (-2)/3, y = (-5)/6`
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/2, y = 3/4, z = 1/4`
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/5, y = 2/15, z = (-3)/10`
