Question

tiana
28 + 2 + 54

yusuf
28 + 2 + 52

whose expression has the same value as 28 + 54?
yusuf
explain why yusuf’s expression is correct.
yusuf correctly broke apart 54 into 2 + 52.
explain tiana’s mistake.
tiana added? to 28 to get to the next ten, but she did not break apart 54.

Explanation:

Step1: Calculate 28 + 54

$28 + 54 = 82$

Step2: Calculate Tiana's expression

$28 + 2 + 54 = 30 + 54 = 84$

Step3: Calculate Yusuf's expression

$28 + 2 + 52 = 30 + 52 = 82$

Step4: Compare results

Yusuf's result (82) matches 28 + 54 (82), Tiana's (84) does not.

Answer:

Yusuf's expression has the same value as \(28 + 54\) because \(28 + 2 + 52 = (28 + 2) + 52 = 30 + 52 = 82\), and \(28 + 54 = 82\). Tiana's expression is \(28 + 2 + 54 = 84\), which is incorrect as she didn't adjust 54 when adding 2 to 28. The number Tiana added to 28 to get to the next ten (30) is 2.