Final answer:
To make the comparison 3.64 > 3.7 true, the correct change is to increase the tenths digit in 3.64 to a 7, which results in the number 3.74; thereby making the comparison true, as 3.74 is indeed greater than 3.7.
Step-by-step explanation:
The question concerns the comparison between two decimal numbers and asks which change would make the inequality 3.64 > 3.7 true. Here are the options analyzed:
- A. Increase the tenths digit in 3.64 to a 7: This would change the number to 3.74, making the comparison true, because 3.74 is indeed greater than 3.7.
- B. Change the 7 in 3.7 to an 8: This would change the inequality to 3.64 > 3.8, which remains false.
- C. Round 3.64 to the nearest tenth: This would result in 3.6, which does not make the comparison true as 3.6 is not greater than 3.7.
- D. Reverse the tenths and hundredths digits in 3.64: This would result in 3.46, which is also not greater than 3.7.
The only option that makes the comparison true is:
A. Increase the tenths digit in 3.64 to a 7, resulting in 3.74 > 3.7.