Question

Select all the true equations

Answer 1

B, C, E

--5 + 0 does not equal zero

--any value tomes zero equals zero

--1.4 + 2.7 => 1.0 + 2.0 + 1.1 => 4.1

--2/3(5/9) = 10/27 not 7/12

--4(2/3) = 4.66666 and 5 - 1/3 = 4.66666

Answer 2

B, C, and E

Explanation:

A is incorrect because any number plus zero results in that number, not 0.

In equation form:
`x + 0 = x`

B is correct because any number multiplied by zero results in 0.

In equation form:
`0(x) = 0`

C is correct. We can split the added numbers into their decimal place values and add the values separately to get 4.1.

`1.4 + 2.7 = (1 + 2) + (0.4 + 0.7) = 3 + 1.1 = 4.1`

D is incorrect because when multiplying fractions, you simply multiply the numerator and denominator; however, this is not done here.

E is correct because 4 2/3 is one third less than 5; we can show this using improper fractions:

`4 (2)/(3) = ((4 * 3) + 2)/(3) = (14)/(3)`
`5 = (5 * 3)/(3) = (15)/(3)`

`(15)/(3) - (14)/(3) = (1)/(3)`