Place a mathematical symbol between 3 & 7 to get a number which is greater than 3 but lesser than 7.
The Correct Answer and Explanation is:
The correct answer is to place a decimal point between the 3 and 7, forming the number 3.7. This number is greater than 3 and less than 7.
Explanation:
This problem is asking for a number that satisfies two conditions:
- It must be greater than 3.
- It must be less than 7.
One way to achieve this is by introducing a decimal point between the digits 3 and 7, resulting in 3.7. A decimal number, also called a fractional number, lies between whole numbers on the number line. In this case, 3.7 is greater than the integer 3 but less than the integer 7.
Why 3.7 Fits:
- 3.7 is greater than 3: On the number line, any number that has a tenths place (like 0.1, 0.2, etc.) and is added to a whole number increases its value, but it doesn’t reach the next whole number unless it’s a full 1. In this case, adding 0.7 to 3 makes it 3.7, which is clearly larger than 3.
- 3.7 is less than 7: Since the number 3.7 is not even close to the whole number 7, it remains smaller. It would require the decimal part to be large enough to equal or exceed 1 for the entire number to become 4, which would then still be less than 7.
Other Possibilities:
You could theoretically place other decimal points to create numbers like 3.1, 3.5, or 3.9, and all of these would also fit the condition of being between 3 and 7. However, the simplest solution that directly addresses the problem as asked is to form the number 3.7.
Hence, placing a decimal point between the 3 and 7 solves the problem perfectly!