tiana and yusuf each write an expression to help make 28 + 54 easier to add.\ntiana\n28 + 2 + 54\nyusuf\n28…

tiana and yusuf each write an expression to help make 28 + 54 easier to add.\ntiana\n28 + 2 + 54\nyusuf\n28 + 2 + 52\nwhose expression has the same value as 28 + 54?\nyusuf\nexplain why yusufs expression is correct.\nyusuf correctly broke apart into 2 + 52.

tiana and yusuf each write an expression to help make 28 + 54 easier to add.\ntiana\n28 + 2 + 54\nyusuf\n28 + 2 + 52\nwhose expression has the same value as 28 + 54?\nyusuf\nexplain why yusufs expression is correct.\nyusuf correctly broke apart into 2 + 52.

Answer

Explanation:

Step1: Analyze Tiana's expression

Tiana's expression is (28 + 2+54). The original sum is (28 + 54). If we add (2) to (28) (making it (30)) but don't adjust the other number, the sum changes. (28+2 + 54=(28 + 2)+54=30+54 = 84), while (28+54=82).

Step2: Analyze Yusuf's expression

Yusuf's expression is (28+2 + 52). Using the associative property of addition (a+(b + c)=(a + b)+c). We know that (28+54=28+(2 + 52)) (because (54=2+52)). Then, by the associative property (28+(2 + 52)=(28 + 2)+52). Calculate ((28+2)+52=30+52=82), and (28 + 54=82).

Answer:

Yusuf correctly broke apart (54) into (2 + 52).