CBSE · Class 7 · Mathematics · Chapter 12

Another Peek Beyond the Point

Extend decimal understanding through multiplication, division and applications involving measurements and quantities.

13 lessons 50 min
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Lessons in this chapter

  1. 1A Quick Recap of DecimalsReconnect decimal digits with fractions and place value before multiplying and dividing them.
  2. 2Decimal MultiplicationUse repeated addition and fractions to understand products involving decimal quantities.
  3. 3Finding the Decimal Point in a ProductDerive the decimal-place rule and use zeroes correctly when writing products.
  4. 4Is the Product Always Greater?Predict how decimal factors affect product size and use powers of ten in practical calculations.
  5. 5Dividing Decimals by 10, 100 and 1000Explain decimal division by powers of ten using equal ribbon pieces, fractions, and changing place values.
  6. 6From Fractions to Decimal QuotientsExpress division as a fraction and find decimal answers by choosing equivalent denominators.
  7. 7Division Using Place ValueUnderstand long division as sharing and regrouping hundreds, tens, and ones.
  8. 8Continuing Division Beyond the Ones PlaceRegroup remainders as tenths, hundredths, and thousandths to obtain decimal quotients.
  9. 9Division with a Decimal DividendDivide decimal amounts by whole numbers while keeping every quotient digit in its correct place.
  10. 10Division with a Decimal DivisorMake a decimal divisor a whole number while preserving the quotient, then divide and check.
  11. 11Does This Ever End?Use remainders to understand terminating and repeating decimals, and reason about quotient size.
  12. 12Look Before You Leap!Use decimal arithmetic to investigate calendar drift and understand the leap-year rule.
  13. 13Chapter Summary and PracticeConnect the chapter’s decimal ideas and apply them in mixed calculations, measurement, reasoning, and puzzles.
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