Let's break down each option step by step to find which combination results in the number 6.71.
### Option (A): 6 ones + 5 tenths + 11 hundredths
First, we will convert each part to its decimal form:
- 6 ones = 6
- 5 tenths = 0.5
- 11 hundredths = 0.11
Now, let's add these values together:
[tex]\[ 6 + 0.5 + 0.11 = 6.61 \][/tex]
So, option (A) gives us 6.61, which is not equal to 6.71.
### Option (B): 6 ones + 4 tenths + 31 hundredths
Again, convert each part to its decimal form:
- 6 ones = 6
- 4 tenths = 0.4
- 31 hundredths = 0.31
Now, add these values together:
[tex]\[ 6 + 0.4 + 0.31 = 6.71 \][/tex]
So, option (B) gives us 6.71, which matches our target value.
### Option (C): 6 ones + 6 tenths + 2 hundredths
Convert each part to its decimal form:
- 6 ones = 6
- 6 tenths = 0.6
- 2 hundredths = 0.02
Now, add these values together:
[tex]\[ 6 + 0.6 + 0.02 = 6.62 \][/tex]
So, option (C) gives us 6.62, which is not equal to 6.71.
### Conclusion
Among the provided options, (B) is the correct combination that results in 6.71:
[tex]\[ 6 \text{ ones} + 4 \text{ tenths} + 31 \text{ hundredths} = 6.71 \][/tex]
Therefore, the correct answer is:
(B) 6 ones + 4 tenths + 31 hundredths
