Write a decimal between 2.34 and 2.341.
The correct answer and explanation is:
A decimal between 2.34 and 2.341 could be 2.340.
Explanation:
A decimal number consists of a whole number part and a fractional part, separated by a decimal point. When looking for a number between 2.34 and 2.341, you need to focus on the digits to the right of the decimal point. Here is how you can think about it:
- Understanding the Decimal Place Values:
In the number 2.34, the first digit after the decimal point is in the tenths place (4), and the second digit is in the hundredths place (0). The number 2.341 has a similar structure, but the third digit is in the thousandths place (1). - Finding a Decimal Between 2.34 and 2.341:
To find a decimal between these two numbers, you focus on the place values. The smallest possible increment is in the thousandths place. Since 2.341 is just slightly higher than 2.34, the next logical step is to increase the number in the thousandths place by 0.001. - The Decimal 2.340:
When you increase 2.34 by 0.001, you get 2.340. This is a valid decimal because it fits between 2.34 and 2.341, and it is still a precise number, not rounded. - Why Not 2.341:
The number 2.341 is the upper limit in this range, so it does not count as being between 2.34 and 2.341. The decimal 2.340, however, fits neatly between the two and is a valid example of a decimal in this range.
This type of reasoning is essential in understanding decimal numbers and their relationships. By focusing on the smallest increments, you can always find numbers between two given decimals.