Class 7 Maths Part 2 Chapter 4 PDF: Another Peek Beyond the Point (Ganita Prakash)

Class 7 Maths Part 2 Chapter 4, Another Peek Beyond the Point, extends decimal understanding from Part I to multiplying and dividing decimal numbers, understanding decimal point placement via place value and fractions, recurring decimals (like $142857$), and the mathematics behind leap-year calendar adjustments.

What Class 7 Mathematics Chapter 4 Covers

4.1–4.2 Recap of Decimals & Decimal Multiplication links decimal multiplication to fraction multiplication ($\frac{a}{10^m} \times \frac{b}{10^n}$), explaining why the number of decimal places in the product equals the sum of the decimal places in the numbers multiplied.

4.3 Decimal Division & Recurring Decimals covers dividing decimals by powers of 10, whole numbers and decimals (by scaling divisor and dividend equally), and explores non-terminating repeating decimals like $\frac{1}{7} = 0.\overline{142857}$.

4.4 Look Before You Leap! applies decimal approximations to Earth’s $365.2422$-day solar year to explain why leap years occur every 4 years, why century years like 1900 are skipped, and why multiples of 400 like 2000 remain leap years.

Exercises in Chapter 4

  • Figure it Out exercise sets and Summary with geometric and algebraic puzzles.

Read Class 7 Mathematics Chapter 4 Online

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FAQ

Where do you place the decimal point when multiplying two decimal numbers?
Multiply the numbers as whole numbers ignoring the decimal points, then place the decimal point in the product so that the number of digits after the decimal point equals the total number of decimal places in the two factors.

How do you divide a number by a decimal divisor?
Multiply both the divisor and the dividend by the same power of 10 (10, 100, 1000, etc.) to turn the divisor into a whole number, then perform standard division.