Which sentence correctly compares and explains a pair of decimals?

A.
0.15 < 0.07 because 1 tenth is less than 7 tenths.

B.
0.5 < 0.26 because 5 tenths is less than 26 tenths.

C.
0.7 > 0.58 because 7 tenths is greater than 5 tenths.

D.
0.34 > 0.3 because 34 hundredths is greater than 3 hundredths.

7 answers

D. 0.34 > 0.3 because 34 hundredths is greater than 3 hundredths.
Casey has two cans of red paint. One can has 3/10 gallon of red paint, and the other can has 42/100 gallon of red paint.How much red paint does Casey have in all?

A. gallon
B. gallon
C. gallon
D. gallon
First, we need to convert the fractions to have a common denominator.

3/10 can be written as 30/100.
42/100 remains the same.

Now add the two fractions:

30/100 + 42/100 = 72/100.

Therefore, Casey has 72/100 gallon of red paint.
This can be simplified to 0.72 gallon.

So, the answer is:

C. 0.72 gallon
Casey has two cans of red paint. One can has 3/10

gallon of red paint, and the other can has 42/100

gallon of red paint.

How much red paint does Casey have in all?

A. 45/100 gallon
B. 45/110 gallon
C. 72/100 gallon
D. 72/200 gallon
To add the amounts of red paint in both cans, we need to find a common denominator.

3/10 gallon can be written as 30/100 gallon.
42/100 gallon remains the same.

Now add the two fractions:

30/100 + 42/100 = 72/100.

Therefore, Casey has 72/100 gallon of red paint.

This can be simplified to 0.72 gallon.

So, the answer is:

C. 0.72 gallon
Greg had 4 5/8 feet of cloth that he wanted to use to make two blankets for his dogs. He used 2 6/8 feet for the first blanket. How much cloth does Greg have left to use for the second blanket?
To find out how much cloth Greg has left after using 2 6/8 feet for the first blanket, we have to subtract that amount from 4 5/8 feet.

First, let's convert these mixed numbers to improper fractions.
4 5/8 = (8 * 4 + 5)/8 = 33/8
2 6/8 = (8 * 2 + 6)/8 = 22/8

Now, subtract 22/8 from 33/8:
33/8 - 22/8 = 11/8

Now, convert back to a mixed number:
11/8 = 1 3/8

Therefore, Greg has 1 3/8 feet of cloth left to use for the second blanket.
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