NCERT Solutions Class 7 Maths Chapter 3 A Peek Beyond the Point introduces students to decimal numbers in a fun and easy way. In this NCERT Solutions Class 7 Maths Chapter, students learn how to read, write, and use decimals in daily life—like when dealing with money, length, or weight. It also covers how to compare, add, and subtract decimal numbers step by step.
These NCERT Solutions are designed to help students clearly understand each concept through simple language and solved examples. With detailed explanations and practice problems, students can gain confidence and improve their calculation skills
Get your FREE PDF of NCERT Solutions Class 7 Maths Chapter 3 – A Peek Beyond the Point, created by the subject experts at ALLEN.
1. Understanding Decimal Numbers
Decimals represent numbers that lie between whole numbers.
They are used when precision is required, such as measuring length (5.6 cm), weight (3.75 kg), or money (₹45.50).
Decimal numbers are expressed with digits to the right of the decimal point, representing parts of a whole.
2. Reading and Writing Decimals
Students learn how to read and write decimal numbers up to hundredths and thousandths.
Example: 3.07 is read as “three point zero seven”.
3. Place Value System (Decimal Version)
The place values to the right of the decimal point include:
4. Comparing Decimal Numbers
Students learn to compare decimal values based on place values.
Extra zeroes do not affect the value: 3.6 = 3.60
Example: 3.45 > 3.4 because 3.45 has 5 hundredths vs. 0.
5. Conversion between Fractions and Decimals
Converting decimals to fractions and vice versa strengthens understanding of their relationship.
Example: 0.25 = 25/100 = 1/4
6. Operations on Decimals
a) Addition and Subtraction
Align decimal points to perform operations correctly.
Ensure place values are matched while adding or subtracting.
b) Multiplication
Multiply as if they are whole numbers.
Place the decimal point in the result based on total decimal places in the multiplicands.
Example: 1.2 × 3.4 = 4.08
c) Division
Adjust the divisor or dividend by shifting the decimal point to make division easier.
Example: 2.5 ÷ 0.5 = 5
7. Use of Decimals in Daily Life
Understanding decimals is important for:
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