Malcolm says that 8/11 is greater than 7/10 because eight is greater than seven and 11 is greater than 10 discuss Malcolm's reasoning. Even though it is true that 8/11 is greater than 7/10 is Malcolm's reasoning correct? If Malcolm's reasoning is correct, clearly explain why. If Malcolm's reasoning is not correct, give Malcolm two examples that sure why not.

8/11 = 0.727272727272727272727272727272727272727272727272727272727

where as

7/10 = 0.7

Step-by-step explanation:

8/11 is 0.72 whereas 7/10 = 0.7 thus Malcolm was correct

associative property of multiplication

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.