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Chapter Analysis
Intermediate32 pages • EnglishQuick Summary
This chapter delves into the concepts of decimal division, illustrating how division using place values extends to decimals. It explores how numbers are divided and regrouped into tenths, hundredths, and further. The chapter also introduces the concept of non-terminating decimal quotients through examples like 10 divided by 3, providing a foundational understanding of recurring decimals. It finishes by discussing cyclic numbers and how decimal operations apply to practical problems, such as calculating weights and distances.
Key Topics
- •Decimal Division
- •Regrouping and place value
- •Non-terminating decimals
- •Cyclic numbers
- •Practical application of decimals
- •Use of mathematical operations with decimal numbers
Learning Objectives
- ✓Understand and apply division in decimal systems using place value.
- ✓Identify and manage non-terminating and recurring decimals.
- ✓Perform decimal operations to solve real-life problems.
- ✓Recognize patterns in division results with decimals.
- ✓Explore and identify cyclic numbers.
Questions in Chapter
Find the quotient by converting the denominator into 1, 10, 100 or 1000 and verify the solution by the long division method (division by place value).
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Choose the correct answer: (a) 1526 ÷ 4 = (i) 38.15 (ii) 380.15 (iii) 381.5 (iv) 381.05
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Find the quotient: (a) 132 ÷ 4 = (b) 13.2 ÷ 4 =
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What is the quotient? (a) 126 ÷ 8 = (b) 12.6 ÷ 8 =
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Additional Practice Questions
If 2.46 is divided by 0.3, what is the quotient?
mediumAnswer: First convert 0.3 to a whole number by multiplying both dividend and divisor by 10 to get 24.6 ÷ 3 = 8.2.
How do you express 3.75 divided by 5 as a decimal?
easyAnswer: Regroup 3.75 as 37.5 × 10, then divide 37.5 by 5 to get 7.5.
Calculate the result of 14.8 ÷ 1.6 as a decimal.
hardAnswer: Convert 1.6 to 16 and multiply the dividend by 10, then 148 ÷ 16 = 9.25.
Divide 5.78 by 0.2 and express the result.
mediumAnswer: Convert 0.2 into a whole number by multiplying by 10, resulting in 57.8 ÷ 2 = 28.9.
What is the quotient when 0.66 is divided by 0.11?
easyAnswer: Multiply both by 100 to get 66 ÷ 11 = 6.