# Double Century – Complete Guide For Class 3 Math Chapter 3

Welcome to iPrep, your Learning Super App. Our learning resources for the chapter** “Double Century** in Mathematics for Class 3rd” are designed to ensure that you grasp this concept with clarity and perfection. Whether you’re studying for an upcoming exam or strengthening your concepts, our engaging animated videos, practice questions, and notes offer the best of integrated learning with interesting explanations and examples.

## Objective of Learning “Double Century”

The objective of learning CBSE Class 3rd Math, Chapter 3 – Double Century is to help students build a strong understanding of numbers beyond 100. This chapter aims to enhance their ability to count, add, and visualize numbers through the use of number lines, place value concepts, and practical examples. By grouping numbers into hundreds, tens, and ones, students will develop the skills needed to comprehend larger numbers more easily. Additionally, the chapter fosters problem-solving abilities, setting a solid foundation for advanced arithmetic and mathematical reasoning in future classes.

In “Double Century,” the chapter, students are going to get into the interesting world of numbers larger than 100. They will gain knowledge about the importance of numbers, their background, and practical applications. Number names for values of 100 and above 100, addition, and counting numbers are all covered in this chapter. Additionally, the idea of grouping numbers into hundreds, tens, and ones for simpler comprehension will be introduced to the students. They will be able to see the link between numbers through exercises that use number lines, which will improve their understanding of arithmetic and get them ready for later, more difficult mathematical concepts.

**The Story of Numbers**

We are surrounded by numbers! Every day, numbers come in useful for us, from counting toys to figuring out how many apples we need. In the past, individuals counted with their fingers or stones. As the numbers increased, they began to be recorded. This chapter will take us on a study of numbers, their history, and the applications they have for resolving practical issues. We’ll explore numbers and discover the various ways in which these numbers can be added and understood.

**Understanding Numbers Up to 100**

In this section of the chapter “Double Century”, students will develop a solid understanding of numbers up to 100, which is crucial for their mathematical foundation. The focus will be on:

**Counting:**Students will learn to count sequentially from 1 to 100. They will practice skip counting by 2s, 5s, and 10s to recognize patterns in numbers.**Identifying Even and Odd Numbers:****Even Numbers:**These are numbers that can be divided by 2 without a remainder (e.g., 2, 4, 6, …).**Odd Numbers:**These are numbers that have a remainder of 1 when divided by 2 (e.g., 1, 3, 5, …). Recognizing these patterns helps students understand number relationships.

**Place Value:**Students will begin to understand the concept of place value, recognizing that numbers have different values depending on their position (tens and ones). For example, in the number 45, 4 represents 40 (four tens) and 5 represents 5 (five ones).

**Learning Number Names**

In addition to understanding numbers, students in the chapter “Double Century” will learn to express numbers in words, enhancing their language skills and comprehension. Here are key aspects:

**Writing Numerals as Words:****Single-digit numbers:**1-9 (e.g., 1 = one, 2 = two).**Teen Numbers:**10-19 (e.g., 11 = eleven, 14 = fourteen).**Tens:**20, 30, 40, etc. (e.g., 20 = twenty, 30 = thirty).**Combining Tens and Ones:**For numbers 21-99, students will learn how to combine tens and ones, such as 21 = twenty-one and 57 = fifty-seven.

**Hundreds:**- The number 100 is written as “one hundred.” This introduces students to the concept of hundreds as they prepare to learn about larger numbers.

**Finding Numbers Using Number Lines**

A simple but effective tool for finding and understanding numbers is a number line. It’s like a straight path where each number has its place. Children will learn how to locate numbers on a number line by traveling from one point to another. As an example:

- Finding 12 on the number line means starting from 0 and moving forward 12 steps.
- To find 55, move 55 steps ahead from 0. This visual tool will help students easily identify the position of numbers and better understand how numbers grow or shrink when we add or subtract.

**Addition**

Addition is like putting things together. If you have 2 toys and your friend gives you 3 more, now you have 5 toys. This chapter will cover simple additions and gradually move towards adding bigger numbers like:

- 25 + 35 = 60
- 67 + 18 = 85 By using examples from everyday life, like adding the total number of students in a classroom or the number of fruits in a basket, children will understand how addition works and why it’s important.

**Number Names for More Than 100**

It’s time to move on to larger numbers after you’ve learned numbers up to 100! Though they might seem difficult, numbers more than 100 follow simple patterns. For example:

- 101 is one hundred and one.
- 125 is one hundred and twenty-five.

**Bundles to Make Numbers Above 100**

Numbers above 100 can be tricky to understand. To simplify this, children can learn to group them into bundles of hundreds, tens, and ones. For example:

- 145 can be seen as 1 bundle of 100, 4 bundles of 10, and 5 ones. This method helps children break down larger numbers into simpler, more manageable parts. It also makes adding, subtracting, and understanding numbers more intuitive. Children can visualize numbers as a collection of smaller bundles, making complex arithmetic easier to grasp.

**Number Lines for Numbers Above 100**

The number line doesn’t stop at 100 – it keeps going! This section extends the number line to include numbers above 100, and children will learn how to use it to find, compare, and understand bigger numbers. For example:

- To find 150 on the number line, move 150 steps forward from 0.
- To compare 125 and 200, we see that 200 is further ahead on the number line. By using number lines, children will also practice addition and subtraction with bigger numbers, developing their ability to solve more complex mathematical problems.

**Conclusion**

In conclusion, the CBSE Class 3rd Math, Chapter 3 – Double Century provides a comprehensive foundation for understanding numbers beyond 100. Through engaging exercises and examples, students will develop crucial skills in addition, number patterns, and number line visualization. This chapter not only enhances their grasp of larger numbers but also prepares them for more complex mathematical concepts in the future.

As students navigate through the fascinating world of numbers in Double Century, they will learn to identify, express, and manipulate numbers with confidence. The introduction of place value and the concept of bundling will further simplify their understanding of larger numbers, making math enjoyable and accessible.

By mastering the content in CBSE Class 3rd Math, Chapter 3 – Double Century, learners are equipped with the essential tools to tackle advanced math and problem-solving challenges in their academic journey. Embrace the learning process with iPrep, and watch your mathematical skills flourish!

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