Allen's work is not written properly so I have rearranged it as shown below:
Original problem) –8.3 + 9.2 – 4.4 + 3.7.
Step 1) −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
Step 2) −8.3 + 4.4 + 9.2 + 3.7 Commutative property
Step 3) −8.3 + (4.4 + 9.2 + 3.7) Associative property
Step 4) −8.3 + 17.3
We can see that in step 1), Allen changed -4.4 into +4.4 using additive inverse. Notice that we are simplifying not eliminating -4.4 as we do in solving some equation. Hence using additive inverse is the wrong step.
Alen should have collect negative numbers together and positive numbers together.
Add the respective numbers then proceed to get the answer.
–8.3 + 9.2 – 4.4 + 3.7
= –8.3 – 4.4 + 9.2 + 3.7
= -12.7 + 12.9
= 0.2
Euclid used a somewhat different parallel postulate in trying to avoid the notion of the infinite. He observed that when two parallel lines are intersected by a third line, called a transversal, then if you measure two angles formed by these three lines, on the same side of the transversal and between the parallels, they will add to (that is, they will be supplementary). Such angles are called same-side interior angles<span>:</span>
The square root of -3 is 1.73205081
Answer:
8 1/2 hrs/wk
Step-by-step explanation:
3(1 1/2 hrs) plus
2(1 1/4 hrs) plus
2(3/4 hr)
The LCD here is 4. Convert 3(1 1/2 hrs) to 3(1 2/4 hrs), so that we now have:
3(1 2/4 hrs) = 3 6/4 hrs
+2(1 1/4 hrs) = 2 2/4 hrs
+2(3/4 hrs) = 6/4 hrs
-------------------------------------
5 14/4 hrs, or
5 + 3 2/4 hrs, or
8 1/2 hours/week
