What is a Number Between 6 and 8?

S0-SA1-1444

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

A number between 6 and 8 is any number that is greater than 6 but smaller than 8. It can be a whole number, a fraction, or a decimal. Think of it as a value that sits right in the middle of 6 and 8 on a number line.

Simple Example

Quick Example

Imagine you are scoring runs in a cricket match. If your team needs more than 6 runs but less than 8 runs to win, how many runs do you need? The only whole number of runs you can score to be between 6 and 8 is 7 runs.

Worked Example

Step-by-Step

Question: Find a whole number between 6 and 8.

Step 1: Understand 'between'. 'Between' means the number must be bigger than the first number (6) and smaller than the second number (8).
---Step 2: List whole numbers starting from 6. The whole numbers are 6, 7, 8, 9, and so on.
---Step 3: Check which of these numbers is greater than 6. The numbers 7, 8, 9... are all greater than 6.
---Step 4: Check which of these numbers is smaller than 8. The numbers 7, 6, 5... are all smaller than 8.
---Step 5: Find the number that satisfies both conditions (greater than 6 AND smaller than 8). The only whole number that fits is 7.
---Answer: The whole number between 6 and 8 is 7.

Why It Matters

Understanding 'between' helps us compare numbers and place them correctly, which is super important in maths. This skill is used by engineers to measure distances, by scientists to track data, and even by economists to analyze market trends. It's a foundational idea for many advanced topics.

Common Mistakes

MISTAKE: Thinking that 'between' includes the numbers themselves (6 and 8). | CORRECTION: 'Between' means strictly greater than the first number and strictly less than the second number. So, 6 and 8 are NOT 'between' 6 and 8.

MISTAKE: Only looking for whole numbers. | CORRECTION: Numbers can also be decimals or fractions. For example, 6.5, 7.2, or 6 and a half are all numbers between 6 and 8.

MISTAKE: Getting confused when the numbers are far apart (e.g., between 1 and 100). | CORRECTION: The rule remains the same: the number must be greater than the lower limit and less than the upper limit, no matter how far apart they are.

Practice Questions

Try It Yourself

QUESTION: What is the whole number between 10 and 12? | ANSWER: 11

QUESTION: Can 7.5 be a number between 6 and 8? Explain why. | ANSWER: Yes, because 7.5 is greater than 6 (7.5 > 6) and also smaller than 8 (7.5 < 8).

QUESTION: Name two different numbers (one a decimal, one a fraction) that are between 6 and 8. | ANSWER: Examples could be 6.3 and 7 and a quarter (or 7 1/4 or 29/4).

MCQ

Quick Quiz

Which of these numbers is NOT between 6 and 8?

6.9

7.1

The Correct Answer Is:

Option C, which is 8, is not between 6 and 8 because 'between' means strictly less than 8. Options A, B, and D are all greater than 6 and less than 8.

Real World Connection

In the Real World

When you check the temperature on a weather app, it might say 'temperature expected to be between 25 and 30 degrees Celsius'. This means it won't be exactly 25 or 30, but any value in between. Similarly, when buying vegetables, the shopkeeper might tell you the price is 'around 70 to 80 rupees', meaning it could be 72, 75, or 78 rupees.

Key Vocabulary

Key Terms

BETWEEN: greater than the lower limit and less than the upper limit | WHOLE NUMBER: a number without fractions or decimals (like 0, 1, 2, 3...) | DECIMAL: a number that includes a decimal point (like 6.5, 7.25) | FRACTION: a part of a whole number (like 1/2, 3/4)

What's Next

What to Learn Next

Now that you understand 'between', you can explore 'number lines' to visualize numbers and their positions better. You can also learn about comparing and ordering numbers, which builds directly on this concept.