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Class III Mathematics

Chapter 3: Give and Take

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

Class Syllabus Selection

This topic is taught in multiple grades. Switch classes to see specific curriculum details:

Chapter Overview

Welcome to Class III Mathematics: Give and Take. This chapter forms a core structural component of the math syllabus, designed to build analytical rigor and key formula models.

Use the detailed subtopic guide below to review standard definitions, key mathematical rules, and study guidelines.

Prerequisite Concepts

Double Digit AdditionDouble Digit Subtraction

Detailed Subtopics Study Guide

Review detailed conceptual explanations, mathematical equations, and guidelines for each subtopic in this chapter:

1Addition of 3-digit numbers

Concept Explanation

Adding three-digit numbers requires aligning columns for Hundreds, Tens, and Ones, carrying over values when the sum exceeds 9.

Mathematical Representation
\begin{array}{rrr} A & B & C \\ +\ D & E & F \\ \hline \end{array}
Study Guideline: Add ones column, then tens (including any carried ones), then hundreds (including carried tens).

2Subtraction of 3-digit numbers

Concept Explanation

Subtracting three-digit numbers involves column subtraction, borrowing 1 ten or 1 hundred from the left column when subtracting a larger digit from a smaller one.

Mathematical Representation
\begin{array}{rrr} A & B & C \\ -\ D & E & F \\ \hline \end{array}
Study Guideline: Check column values: if you have 0 in tens, borrow from hundreds first to allow borrowing into ones.

3Adding using expansion

Concept Explanation

Adding using expansion is breaking addends into their expanded parts (hundreds, tens, ones), adding matching parts, and recombining them.

Mathematical Representation
23 + 45 = (20+3) + (40+5) = (20+40) + (3+5) = 60 + 8 = 68
Study Guideline: This method simplifies mental addition by avoiding vertical column alignment.

4Word problems

Concept Explanation

Mathematical scenarios framed as real-life stories, requiring learners to set up arithmetic operations to find answers.

Mathematical Representation
\text{Identify Operation} \in \{+, -, \times, \div\}
Study Guideline: Read the story twice. Identify what information is given, and what question needs to be answered.

5Mental addition tricks

Concept Explanation

Mental addition tricks are techniques to add numbers in your head, such as rounding to the nearest ten or adding left-to-right.

Mathematical Representation
a + b = (a + k) + (b - k)
Study Guideline: To add 29 + 45, add 30 + 44 = 74. Rounding up one number and subtracting the difference simplifies mental math.