Finding intermediate numbers for clarity about sequence of numbers

Finding intermediate numbers for clarity about sequence of numbers

To test the students' understanding of the sequence of numbers, an exercise of finding intermediate numbers is provided.

Students will have no difficulty in finding numbers between two numbers in natural numbers or whole numbers.

The best way to find intermediate numbers is to let the number line run through your mind.

The help of mind is more important than the help of paper and pen in doing calculations. All exercises with pen and paper are for mental training. That is the purpose of asking mental calculations in math classes.

For example, if you are asked to find the numbers between 8 and 11, you can easily remember the number line and say the numbers between 9 and 10.

The same approach applies to all. When asked to find the integers between -2 and +2, if you draw a number line and circle -2 and +2 on it, the numbers in between are -1, 0, +1.

If you draw a number line like this for a few accounts, at some point you will get the ability to draw it in your mind instead of drawing it on paper.

Now you may think that it is difficult to find intermediate numbers between rational numbers. It's an easy one.

Rational numbers are fractional numbers. It has numerator and denominator. When you are given two rational numbers and asked to find the intermediate numbers between them, you can find them quite easily.

Multiply the first fractional number up and down by the denominator of the second fractional number. Similarly multiply the second fractional number up and down by the denominator of the first fractional number.

Now you will see that the denominators of the two rational numbers that have become equivalent fractions are the same. You can find the required intermediate numbers by taking the numerators of the intermediate numbers.

Perhaps if you want to increase the numbers between numerators, multiply those two rational numbers up and down by numbers like 10 or 100 or 1000 as needed. Now you can choose random numbers between the two numerators.

You can find as many intermediate numbers between two rational numbers as you want using the very easy method of creating equivalent fractions.

Let me know if you have any doubts or difficulties in understanding this simple method. I am waiting for a suitable solution to explain it.

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