Chapter 10: Tenths and Hundredths

Math • Class 5

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Chapter Analysis

Beginner10 pages • English

Quick Summary

This chapter introduces the concept of decimals focusing on tenths and hundredths. It explains how decimal numbers represent fractional parts and their equivalence in everyday scenarios such as currency and measurement. The chapter also includes exercises to help students convert between fractions and decimals, and apply these concepts in real-world situations, thereby strengthening their understanding of decimal numbers.

Key Topics

  • Understanding decimals
  • Converting fractions to decimals
  • Decimal measurement and equivalence
  • Applications of decimal numbers
  • Currency and decimal notation

Learning Objectives

  • To understand the concept of tenths and hundredths.
  • To convert fractions into decimal numbers.
  • To apply decimal understanding in real-world problems.
  • To enhance measurement skills using decimals.
  • To translate between practical currency values and decimals.

Questions in Chapter

What does 0.9 cm mean?

Answer: It is the same as 9 millimetres. We can also say this is nine-tenths of a cm.

Page 2

Can we say 10/100 = 1/10 = 0.10 = 0.1?

Page 6

Additional Practice Questions

Explain how to convert 0.75 into a fraction.

easy

Answer: To convert 0.75 into a fraction, recognize it as 75/100. Simplify by dividing both numerator and denominator by 25 to get 3/4.

If a pencil is 3.6 cm long, how would you express this length in terms of millimetres?

easy

Answer: Since 1 cm is equal to 10 mm, 3.6 cm is equal to 36 mm.

How do you express 250 rupees and 50 paise in decimal form?

medium

Answer: 250 rupees and 50 paise can be expressed as 250.50 in decimal form.

If a rope is 0.85 metres long, what is this length in centimetres?

easy

Answer: 0.85 metres is equivalent to 85 centimetres since 1 metre is 100 centimetres.

Why is 0.40 the same as 0.4?

easy

Answer: In decimal notation, trailing zeros do not affect the value. Thus, 0.40 is equivalent to 0.4.

Describe a scenario where understanding hundredths could be useful.

medium

Answer: Understanding hundredths is useful in financial contexts, such as calculating the interest rate of a savings account, which is commonly quoted in percentages that are hundredths.

A piece of fabric is 1.25 meters long. How many centimetres is that?

easy

Answer: Since 1 meter is equal to 100 centimetres, 1.25 meters is 125 centimetres.

Convert 99 paise to rupees using a decimal.

medium

Answer: 99 paise can be converted into rupees as 0.99 rupees since 1 rupee is 100 paise.

What is the decimal equivalent of 3/100?

easy

Answer: The decimal equivalent of 3/100 is 0.03.

How would you write 7 and 9 tenths in decimal form?

easy

Answer: 7 and 9 tenths is written as 7.9 in decimal form.