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Identify and correct any errors in the work shown:

33 x 34 ÷ 36
A) 33x4:6
B) 32
C) 6
D) 33 x 34 ÷ 36

1 Answer

5 votes

Final answer:

To correct the error in the calculation of 33 x 34 ÷ 36, divide 34 by 36 first, then multiply the result by 33 to get approximately 31.15, which rounds to 32 as the answer.

Step-by-step explanation:

Identifying and Correcting Mathematical Errors

The student is tasked with calculating 33 x 34 ÷ 36. Upon reviewing the work shown, it is clear that there is a confusion in the calculation process specifically in part A) where it is mistakenly shown as 33x4:6 which should instead be 33 x (34 ÷ 36). To correct the calculation:

  1. Firstly, carry out the division of 34 by 36, which gives approximately 0.9444.
  2. Next, multiply 33 by the result of the division (0.9444), which gives approximately 31.15.

The corrected version of the calculation is thus 31.15, which is option B) 32 if we are limiting the answer to a whole number. Note that if the answer had to be precise and not rounded to the nearest whole number, the correct answer would have been approximately 31.15.

When computing mathematical expressions, it's crucial to follow the correct order of operations and ensure proper rounding according to significant figures as necessary.

User Victor Kushnerov
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