Below is a detailed explanation on how to find the 10 rational numbers between -1 and 11:
- First, we need to understand what rational numbers are. Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. For example, 1/2, -3/4, 5/1 are all rational numbers.
- To find the 10 rational numbers between -1 and 11, we need to determine the interval between these two numbers and divide it into equal parts.
- The interval between -1 and 11 is 12 (11 - (-1) = 12).
- To find 10 rational numbers, we need to divide this interval into 11 equal parts (10 divisions between -1 and 11).
- The step size between each rational number can be calculated by dividing the interval size by the total number of divisions. In this case, the step size would be 12/11.
- Now, starting from -1, we can add the step size successively to find the 10 rational numbers between -1 and 11.
- The 10 rational numbers between -1 and 11 would be: -1, -1 + 12/11, -1 + 2(12/11), -1 + 3(12/11), ..., 11.
By following these steps, you can easily find the 10 rational numbers between -1 and 11. Remember that rational numbers can be expressed as fractions, and they lie on the number line between integers.