Which set of numbers is arranged from least to greatest?
1 answer:
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Answer:
Step-by-step explanation:
<u>Errors in Algebraic Operations </u>
It's usual that students make mistakes when misunderstanding the application of algebra's basic rules. Here we have two of them
- When we change the signs of all the terms of a polynomial, the expression must be preceded by a negative sign
- When multiplying negative and positive quantities, if the number of negatives is odd, the result is negative. If the number of negatives is even, the result is positive.
- Not to confuse product of fractions with the sum of fractions. Rules are quite different
The first expression is
Let's arrange into format:
We can clearly see in all of the factors in the expression the signs were changed correctly, but the result should have been preceeded with a negative sign, because it makes 3 (odd number) negatives, resulting in a negative expression. The correct form is
Now for the second expression
Let's arrange into format
It's a clear mistake because it was asssumed a product of fractions instead of a SUM of fractions. If the result was correct, then the expression should have been
The number of hours he worked in all (written in fraction form) is
From the question,
Mario worked from 8:25 to 12:45 yesterday.
From 8:25 to 12:45 gives 4 hours 20 minutes
Also, from the question,
Today he will work from 11:20 to 3:10
From 11:20 to 3:10 gives 3 hours 50 minutes
To determine the number of hours he work in all, we will add the time spent working on the previous day to that of the current day. That is,
4 hours 20 minutes + 3 hours 50 minutes = 8 hours 10 minutes
Now, to put the answer in fraction form, we will convert 10 minutes to hours
NOTE: 60 minutes = 1 hour
∴ 10 minutes = =
∴ 8 hours 10 minutes =
Hence, the number of hours he worked in all (written in fraction form) is
Learn more here: brainly.com/question/3164396