Question

Special-K solved the expression below. Check the work completed. There are two errors. At what steps were the errors made? Explain the errors and make the corrections.

(copy and paste the problem/Special-K's work, into the box provided. Make the correction from the work already completed).
7√3 - 476 - 54
7√3 - 4,6 - (9.76) step 1
-4/6 3/6 step 2
-7.6 step 3
42 step 4
This is a rational solution because -42 can be written as a fraction

Answer 1

Special-K's solution contains two errors: the incorrect result of dividing -4 by 6, which should be -2/3, and a confusion in the subtraction and square root operations in the second step. The errors can be corrected by accurately applying the proper order of operations.

Step-by-step explanation:

To identify and correct the errors in Special-K's solution, we must look at the initial expression and the steps provided. Special-K presented the expression as 7√3 - 476 - 54 and attempted to simplify it, but two errors were made in the process.

The first error is in step 1, where the division of -4 by 6 is given as -4/6 = 3/6. The correct division should result in -4/6, which simplifies to -2/3. The second error occurs in step 2, where the result is listed as -7.6 with no clear explanation of how this value was obtained from the previous step. According to the operation order and assuming that Special-K intended to subtract 54 from 7√3, the correct step would be to first determine 7√3 and then subtract 54 from this value. There seems to be a confusion with dealing with square roots and subtraction.

In order to properly correct Special-K's work, we should return to the original expression and apply the correct operations: begin first with the square root operation, then progress to subtraction. Since it looks like there might be a typo or some confusion with the numbers presented, I cannot provide a final simplified answer without the correct original expression.

As for the justification that the end result is a rational solution because -42 can be written as a fraction, this is indeed correct; any integer is a rational number because it can be expressed as a fraction with a denominator of 1. However, the process to reach this conclusion in Special-K's work seems flawed.

To conclude, the two errors are incorrectly dividing -4 by 6, and an unclear second step that seems to misapply subtraction and square root operations. To correct the work, the proper order of operations and simplification steps need to be applied accurately.