Sid was asked to subtract 214 from 346. His work is shown.

346
-214
32

Which statements are true about Sid's work? Check the TWO that apply.



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(2 points)
Responses

Sid lined up the place values correctly.
Sid lined up the place values correctly.

Sid forgot to subtract the hundreds place, so his answer is incorrect.
Sid forgot to subtract the hundreds place, so his answer is incorrect.

Sid’s answer of 32 is correct.
Sid’s answer of 32 is correct.

Sid should have written 214 on top and 346 on bottom.

1 answer

Let's analyze Sid's work step by step:

  1. Line Up Place Values: Sid lined up the numbers vertically, putting 346 on top and 214 underneath. This part is correct, as he correctly aligned the hundreds, tens, and units.

  2. Subtracting Hundreds Place: Sid should have subtracted 200 (the hundreds in 214) from 300 (the hundreds in 346). He appears to have neglected this step, as 346 - 214 is not 32. If he had subtracted the hundreds correctly, he would have needed to calculate:

    • 300 - 200 = 100 (hundreds)
    • 40 - 10 = 30 (tens)
    • 6 - 4 = 2 (units)
    • Combine these: 100 + 30 + 2 = 118.
  3. Correctness of the Answer: Since the resulting answer of 32 is inaccurate, it proves Sid did not perform the subtraction correctly.

  4. Position of Numbers: In subtraction, typically, the larger number (minuend) is written on top, which Sid did correctly.

Based on this analysis, the two correct statements would be:

  • Sid lined up the place values correctly.
  • Sid forgot to subtract the hundreds place, so his answer is incorrect.

So, the selected statements would be:

  1. Sid lined up the place values correctly.
  2. Sid forgot to subtract the hundreds place, so his answer is incorrect.