between

NOVEMBER 07, 2023

What is between in math? Definition.

In mathematics, the term "between" is used to describe the relationship of one number being located in the middle of two other numbers. It signifies that the number in question lies within a certain range or interval defined by the two given numbers.

What knowledge points does between contain? And detailed explanation step by step.

The concept of "between" involves understanding the order and magnitude of numbers. To determine if a number is between two others, we need to compare their values. Here are the steps to determine if a number is between two given numbers:

  1. Identify the two given numbers, let's call them A and B.
  2. Compare the values of A and B to determine which is smaller and which is larger.
  3. Take the number in question, let's call it C, and compare it to A and B.
  4. If C is greater than A and less than B, then C is between A and B.
  5. If C is equal to either A or B, it is not considered between them.

What is the formula or equation for between? If it exists, please express it in a formula.

There is no specific formula or equation for determining if a number is between two others. It is a concept based on comparison and order.

How to apply the between formula or equation? If it exists, please express it.

As mentioned earlier, there is no specific formula or equation for between. Instead, it requires comparing the values of the given numbers and the number in question. By following the steps outlined above, you can determine if a number is between two others.

What is the symbol for between? If it exists, please express it.

There is no specific symbol for between in mathematics. Instead, the word "between" is used to describe the relationship between numbers.

What are the methods for between?

The methods for determining if a number is between two others involve comparing their values. Some common methods include:

  1. Using the number line: Plot the given numbers and the number in question on a number line. If the number lies between the other two, it is considered between them.
  2. Comparing magnitudes: Compare the values of the given numbers and the number in question. If the number is greater than the smaller number and less than the larger number, it is between them.
  3. Using inequalities: Formulate inequalities using the given numbers and the number in question. If the number satisfies the inequalities, it is between the given numbers.

More than 2 solved examples on between.

Example 1: Is 7 between 5 and 10? Solution: Comparing the values, we see that 5 is smaller than 7, and 10 is larger than 7. Therefore, 7 is between 5 and 10.

Example 2: Is -3 between -5 and 0? Solution: Comparing the values, we see that -5 is smaller than -3, but 0 is larger than -3. Therefore, -3 is between -5 and 0.

Practice Problems on between.

  1. Is 15 between 10 and 20?
  2. Is 0 between -5 and 5?
  3. Is 2.5 between 2 and 3?
  4. Is -10 between -15 and -5?
  5. Is 100 between 90 and 110?

FAQ on between.

Question: What does it mean if a number is not between two others? Answer: If a number is not between two others, it means that it either falls outside the range defined by the given numbers or is equal to one of the given numbers.