Question

tiana
28 + 2 + 54
yusuf
28 + 2 + 52
whose expression has the same value as 28 + 54?
yusuf
explain why yusufs expression is correct.
yusuf correctly broke apart? into 2 + 52.

Explanation:

Step1: Analyze the original expression

The original expression is \(28 + 54\). We need to see how Yusuf's expression relates to it.

Step2: Check Yusuf's expression

Yusuf's expression is \(28+2 + 52\). Let's check the sum of \(2\) and \(52\): \(2+52 = 54\). So, by the associative property of addition (which states that \(a+(b + c)=(a + b)+c\)), \(28+(2 + 52)=(28 + 2)+52\), and since \(2 + 52=54\), this is equivalent to \(28+54\). Also, for the last part, Yusuf broke apart \(54\) into \(2 + 52\) because \(2+52 = 54\).

Answer:

For the explanation: Yusuf's expression is correct because \(2 + 52=54\), so \(28+2 + 52=28+(2 + 52)=28 + 54\) (by the associative property of addition). For the blank: \(54\)