which number is located between 1.2 and 1.4
The Correct Answer and Explanation is:
Correct Answer:
A number located between 1.2 and 1.4 is 1.3.
Explanation:
To find a number that lies between two given decimal numbers, such as 1.2 and 1.4, it helps to understand how decimal numbers work. Decimal numbers are based on the number 10, and each digit after the decimal point represents a fraction of 10. For instance, 1.2 means one whole and two-tenths (or 1 + 2/10), while 1.4 means one whole and four-tenths (or 1 + 4/10).
To determine a number between 1.2 and 1.4, one can visualize the number line. On a number line:
- 1.2 comes before 1.3
- 1.3 comes before 1.4
This means that 1.3 is exactly halfway between 1.2 and 1.4. Mathematically, the midpoint of two numbers can be found by adding them and dividing by 2:Midpoint=1.2+1.42=2.62=1.3\text{Midpoint} = \frac{1.2 + 1.4}{2} = \frac{2.6}{2} = 1.3Midpoint=21.2+1.4=22.6=1.3
Thus, 1.3 is not only between 1.2 and 1.4—it is also the average (or arithmetic mean) of the two numbers.
In addition to 1.3, there are other decimal numbers that fall between 1.2 and 1.4. For example, 1.21, 1.25, 1.35, and 1.39 are all valid numbers between 1.2 and 1.4. Decimal numbers allow for an infinite number of values between any two given numbers because they can be extended to as many places as needed (tenths, hundredths, thousandths, etc.).
However, when asked for a number between 1.2 and 1.4, the simplest and most direct answer is 1.3, since it is evenly spaced between the two and easy to identify.
