(a) Express the distributive property of multiplication over addition using variables m, n and o. (b) Find the value of y in the equation 6y = 144 x 8-12 y (c) Twelve times a number is 96. What is the number? (d) Express the commutative property of addition using variables w and x.
Answers
Answer:
a) distributive property of multiplication over addition is m x (n+o) = (m x n) + (m x o)
b) the value of y in the equation 6y = 144 x 8-12 y is 64
c) the given number is 8
d) commutative property of addition is w + x = x + w
Step-by-step explanation:
a) the distributive property of multiplication over addition can be expressed using the variables m,n, o as
m x (n+o) = (m x n) + (m x o)
the variable m is multiplied to both the variables inside the bracket seperately.
b) 6y =144 x 8 - 12y
according to the bodmas rule, we first multiply the given numbers
6y = 1152 - 12y
adding 12y on both sides,
6y + 12y = 1152 - 12y + 12y
18y = 1152
dividing by 18 on both sides,
18y/18 = 1152/18
y = 64
c) let the given number be x
twelve times x is 12x
the equation is,
12x= 96
dividing by 12 on both sides,
12x/12 = 96/12
x= 8
d) the commutative property of addition tells us that even after changing the order of numbers while adding does not change the sum of those numbers.
it is given as,
w + x = x + w