Class 7 Mathematics — Chapter 4: ANOTHER PEEK BEYOND THE POINT

What you'll learn

• ▸Decimal Place Value and Fractional Equivalence
• ▸Division by Powers of 10
• ▸Multiplication of Decimals by Converting to Fractions
• ▸Rule for Placing the Decimal Point in a Product
• ▸Magnitude of Decimal Products
• ▸Solving Word Problems with Decimal Multiplication
• ▸Multiplication by Powers of 10
• ▸Division of a Decimal by a Whole Number

Chapter Summary

--- PAGE 1 --- 4 ANOTHER PEEK BEYOND THE POINT 4.1 A Quick Recap of Decimals Recall that decimals are the natural extension of the Indian place value system to represent decimal fractions ($\frac{1}{10}$, $\frac{1}{100}$, $\frac{1}{1000}$, and so on) and their sums. For example, **27.53** refers to a quantity that has: • 2 Tens • 7 Units (Ones) • 5 Tenths • 3 Hundredths We have already learned how to multiply and divide fractions. In this chapter, we will learn how to perform these operations with decimals. You will see that the procedures for multiplying and dividing decimals are natural extensions of the procedures for multiplying and dividing counting numbers. ? Jonali and Pallabi play a game. Jonali says a fraction and Pallabi gives the equivalent decimal. Write Pallabi's answer in the blank spaces. Jonali goes to the market to buy spices. She purchases 50 g of Cinnamon, 100 g of Cumin seeds, 25 g of Cardamom and 250 g of Pepper. Expre…

Practice Questions from this Chapter

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1. Explain decimal place values simply. Get Solution →
2. Show decimal multiplication in action. Get Solution →
3. Where are decimals used daily? Get Solution →
4. In the decimal number 27.53, what place value does the digit '5' hold? Get Solution →
5. According to the step-by-step rule for division on page 2, what is the result of 123 ÷ 10? Get Solution →
6. What is the total cost of 5 pens if one pen costs ₹9.5, as calculated in Example 1? Get Solution →
7. What is the area of the rectangle shown in Example 4 with sides 5.7 cm and 13.3 cm? Get Solution →
8. According to the rule explained on page 5, how many decimal places will the product of 5.96 × 24.8 have? Get Solution →

Did you know?

• 💡 The decimal point was popularized by a Scottish mathematician over 400 years ago.
• 💡 The decimal place value system originated in ancient India thousands of years ago.
• 💡 The metric system uses decimals because it is entirely based on powers of ten.
• 💡 Ancient Egyptians mostly used unit fractions, not decimals or common fractions.
• 💡 Some advanced scientific models use decimals with hundreds of digits for precision.

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