Chapter 3: A PEEK BEYOND THE POINT

Math • Class 7

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Chapter Analysis

Intermediate20 pages • English

Quick Summary

This chapter introduces decimals and the importance of place value in the decimal system. It explains how to read, write, and interpret decimal numbers through various examples. The chapter also covers operations with decimals like addition and subtraction, and the practical applications of decimals in measuring quantities accurately using smaller units. It emphasizes the extension of the Indian place value system to include fractional parts using decimals.

Key Topics

  • Decimal place value system
  • Reading and writing decimals
  • Comparing and ordering decimals
  • Decimal addition and subtraction
  • Measurement using decimals
  • Conversion between fractions and decimals
  • Practical applications of decimals

Learning Objectives

  • Understand the decimal system and place value representation
  • Accurately read and write decimals
  • Perform basic operations with decimals
  • Apply decimals in measurement and real-life scenarios
  • Convert between fractions and decimal forms
  • Use decimals to compare and sequence values

Questions in Chapter

Find the sums: 5.3 + 2.6, 18 + 8.8, 2.15 + 5.26

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Find the differences: 5.6 – 2.3, 18 – 8.8, 10.4 – 4.5

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Observe this sequence of decimal numbers and identify the change after each term: 4.4, 4.8, 5.2, 5.6, 6.0. Write the next 3 terms.

Answer: 6.4, 6.8, 7.2

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Additional Practice Questions

What is the decimal representation of 125 one-hundredths?

easy

Answer: 125 one-hundredths is 1.25 in decimal form.

Write the following number in terms of tenths: 87 hundreds.

medium

Answer: 87 hundreds can be represented as 8700 tenths.

If a length is split into 100 equal parts, what is the length of each part in decimals?

easy

Answer: Each part is 0.01 units long.

Convert the decimal 0.375 to a fraction.

medium

Answer: 0.375 is equal to 3/8.

How can you express 0.5 using tenths and hundredths?

medium

Answer: 0.5 is equivalent to 5 tenths or 50 hundredths.