write the general form of the distributive property of multiplication over addition of rational numbers and associative property of subtraction of rational numbers
Answers
Answer:
Step-by-step explanation:
Yes and this is how associative property works. It states that you can add or multiply numbers regardless of how they are grouped. In both the groups the sum is the same. Addition and multiplication are associative for rational numbers Distributive property for rational number states that if any particular sum of variable is further multiplied to the same number which is equivalent to the result then further again every individual variable is multiplied and all the products are added altogether at the end. For two rational numbers say x and y the results of addition, subtraction and multiplication operations give a rational number. We can say that rational numbers are closed under addition, subtraction and multiplication. For example: (7/6)+(2/5) = 47/30.
let us take any three rational numbers 1/2,3/4,and-5/4?
verify whethe1/2-[3/4-(-5/4)]=[1/2-3/4]-(5/4)
LHS=1/2-[3/4-(-5/4)]
=1/2-[3/4+5/4]=1/2-[8/4]
=1/2-2=1-4/2=-3/2
RHS=(1/2-3/4)-(-5/4)=(1×2-3/4)+5/4=(-1/4)+5/4=-1+5/4=4/4=1
1/2-[3/4-(-5/4)] ISN'T EQUAL TO (1/2-3/4)-(-5/4)
LHS IS NOT EQUAL TO RHS
Answer:
let us take any three rational numbers 1/2,3/4,and-5/4?
verify whethe1/2-[3/4-(-5/4)]=[1/2-3/4]-(5/4)
LHS=1/2-[3/4-(-5/4)]
=1/2-[3/4+5/4]=1/2-[8/4]
=1/2-2=1-4/2=-3/2
RHS=(1/2-3/4)-(-5/4)=(1×2-3/4)+5/4=(-1/4)+5/4=-1+5/4=4/4=1
1/2-[3/4-(-5/4)] ISN'T EQUAL TO (1/2-3/4)-(-5/4)
LHS IS NOT EQUAL TO RHS