Simplify: 32×3−15−2×20
Adam wrote: 3−2×522
Nick wrote: 3×52
Shane wrote: 3−352
Who was correct and why?
(1 point)
To simplify the expression 32×3−15−2×20, we first need to perform the multiplication and subtraction operations.
32×3 = 96
2×20 = 40
So, our expression becomes:
96 - 15 - 40
Now, we can subtract to get the final answer:
96 - 15 = 81
81 - 40 = 41
Therefore, the simplified expression is 41.
Now, let's analyze the other expressions:
Adam wrote: 3−2×522
According to the order of operations (PEMDAS/BODMAS), we need to perform the multiplication first:
2×522 = 1044
So, Adam's expression becomes: 3 - 1044
This means that the final answer would be -1041, not 41 as the original expression required. Thus, Adam is incorrect.
Nick wrote: 3×52
This expression is correct. 3 multiplied by 52 equals 156.
Shane wrote: 3−352
According to the order of operations, 3 minus 352 would be equal to -349, which is not the same as 41. Therefore, Shane is incorrect.
In conclusion, Nick was the only one who correctly simplified the expression.
so whos is correct ?
Nick is the correct one because he correctly simplified the expression 3×52 to 156.
out of these,dam is correct because the negative exponent combines with the base and the denominator moves to the numerator.
Adam is correct because the negative exponent combines with the base and the denominator moves to the numerator.
Nick is correct because the negative exponent in the numerator can combine with the like base and the denominator negative exponent goes to the numerator.
Nick is correct because the negative exponent in the numerator can combine with the like base and the denominator negative exponent goes to the numerator.
None of these are correct because the students did not add the exponents in the numerator and then subtract exponents since there is division.
None of these are correct because the students did not add the exponents in the numerator and then subtract exponents since there is division.
Shane is correct because all that needs to be done is to make the negative exponents positive.
Shane is correct because all that needs to be done is to make the negative exponents positive.
Apologies for the earlier incorrect response. Upon reevaluating the expressions, it appears that none of the students provided the correct simplification.
Adam wrote: 3 - 2×522. The correct simplification should involve combining similar terms, so it should be 3 - 1044.
Nick wrote: 3×52. This is a simple multiplication and the answer is 156, which is not the same as the original expression.
Shane wrote: 3 - 352. The correct simplification should involve subtracting the exponent in the denominator from the exponent in the numerator when dividing, so it should be 3 - (-52) = 3 + 52 = 55.
Therefore, none of the students provided the correct simplification for the given expression.