What is a Decimal on a Number Line Between 1 and 2?

S1-SA1-1227

Grade Level:

Class 4

Maths, Data Science, AI, Computing

Definition

What is it?

A decimal on a number line between 1 and 2 is a number that is greater than 1 but less than 2. It shows parts of a whole number using a decimal point, helping us mark exact positions on the line.

Simple Example

Quick Example

Imagine you are tracking how much a plant grew. If it was 1 cm tall yesterday and 2 cm tall today, but you want to know its height exactly at noon, it might be 1.5 cm. This 1.5 is a decimal between 1 and 2, showing it's more than 1 but not quite 2.

Worked Example

Step-by-Step

Let's find 1.3 on a number line between 1 and 2.

1. Draw a straight line and mark two main points: 1 on the left and 2 on the right.
---2. Divide the space between 1 and 2 into 10 equal smaller parts. Think of these as tenths.
---3. Each small mark represents 0.1. So, the first mark after 1 is 1.1, the second is 1.2, and so on.
---4. Count three small marks after 1. The third mark will be 1.3.
---5. Mark this point clearly. This is where 1.3 lies on the number line.

Answer: 1.3 is located at the third small division after 1 on the number line.

Why It Matters

Understanding decimals on a number line is crucial for fields like Data Science and AI, where data often involves precise measurements. Engineers use this to mark exact points in designs, and even in computing, decimal values are used for accurate calculations, opening doors to careers in software development or data analysis.

Common Mistakes

MISTAKE: Confusing 1.3 with 1.03 | CORRECTION: Remember that 1.3 means one and three-tenths, while 1.03 means one and three-hundredths. On a number line, 1.3 is much closer to 1.5 than 1.03 is.

MISTAKE: Placing 1.5 exactly in the middle of 1 and 2, but then misplacing other decimals like 1.2 or 1.8 | CORRECTION: Always divide the space between whole numbers (like 1 and 2) into 10 equal parts first. Each part is 0.1, making it easier to place any decimal.

MISTAKE: Thinking that decimals only exist between 0 and 1 | CORRECTION: Decimals can exist between any two whole numbers, or even larger numbers. Between 1 and 2, decimals like 1.1, 1.5, 1.9 exist, just like 0.1, 0.5, 0.9 exist between 0 and 1.

Practice Questions

Try It Yourself

QUESTION: On a number line, where would you place 1.7 between 1 and 2? | ANSWER: At the 7th small mark after 1.

QUESTION: Which decimal is exactly halfway between 1 and 2? | ANSWER: 1.5

QUESTION: If a point is located at the 4th mark after 1, what decimal does it represent? And if another point is at the 9th mark, what decimal is that? | ANSWER: 1.4 and 1.9

MCQ

Quick Quiz

Which of these decimals is NOT between 1 and 2?

1.05

1.99

0.95

1.5

The Correct Answer Is:

0.95 is less than 1, so it is not between 1 and 2. Options A, B, and D are all greater than 1 but less than 2.

Real World Connection

In the Real World

When you see the temperature on a weather app showing 1.8 degrees Celsius, or a cricket analyst talking about a player's average score being 1.5 runs per over, these are decimals. Even a UPI transaction might involve rupees and paise, like Rs 1.75, which is a decimal amount. These numbers are often represented mentally or physically on a scale, just like a number line.

Key Vocabulary

Key Terms

DECIMAL: A number that uses a decimal point to show parts of a whole number | NUMBER LINE: A straight line on which numbers are marked at equal intervals | WHOLE NUMBER: A number without fractions or decimals, like 1, 2, 3 | TENTHS: One of ten equal parts of a whole, like 0.1, 0.2

What's Next

What to Learn Next

Great job understanding decimals between 1 and 2! Next, you can explore 'Decimals on a Number Line Between Any Two Whole Numbers' to see how these concepts extend. This will help you place even more complex decimal numbers accurately.