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Playing With Numbers — Flashcards

ICSE · Class 8 · Mathematics

34 flashcards for Playing With Numbers (ICSE Class 8 Mathematics) to test yourself on key terms and facts. Sample: "Solve: Write 3479 in generalized form."

36 questions34 flashcards6 formulas & key relations5 concepts

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34 Flashcards·
Generalized form of numbersTwo-digit number formReversing digitsProperty 1Property 2
Card 1Generalized form of numbers

Solve: Write 3479 in generalized form.

Answer

Step 1: Identify the place values from right to left: 1, 10, 100, 1000. Step 2: Match each digit with its place value. Step 3: 3479 = 3 × 1000 + 4 × 100 + 7 × 10 + 9 × 1. Answer: 3479 in generalized f…

Card 2Generalized form of numbers

Solve: Write 68 in generalized form.

Answer

Step 1: The digit 6 is in the tens place and 8 is in the ones place. Step 2: 68 = 6 × 10 + 8 × 1. Answer: 68 = 6 × 10 + 8 × 1.

Card 3Two-digit number form

Formula for a two-digit number with digits a and b.

Answer

Formula: ab = 10a + b, where a is the tens digit and b is the ones digit. Example: 75 = 10 × 7 + 5 = 75. Important: ab does not mean a × b in this chapter.

Card 4Reversing digits

Solve: If a two-digit number is ab, what is its reverse ba?

Answer

Step 1: Swap the digits. Step 2: The reverse of ab is ba. Step 3: Use the formula ba = 10b + a. Example: If ab = 62, then ba = 26 = 10 × 2 + 6. Answer: ba = 10b + a.

Card 5Property 1

Solve: Find the value of 52 + 25 using the reverse-number property.

Answer

Step 1: Write the two numbers as ab and ba. Step 2: Use Property 1: ab + ba = 11(a + b). Step 3: For 52 and 25, a = 5 and b = 2. Step 4: 52 + 25 = 11(5 + 2) = 11 × 7 = 77. Answer: 77.

Card 6Property 1

When do you use ab + ba = 11(a + b)?

Answer

Use it when a two-digit number and its reversed number are added. Example: 87 + 78 = 11(8 + 7) = 11 × 15 = 165. This helps check sums quickly and shows why the result is divisible by 11 and by the sum…

Card 7Property 1

Solve: Find the quotient when 87 + 78 is divided by 11 and by 15.

Answer

Step 1: Add the numbers: 87 + 78 = 165. Step 2: Divide by 11: 165 ÷ 11 = 15. Step 3: Divide by 15: 165 ÷ 15 = 11. Answer: The quotient is 15 when divided by 11, and 11 when divided by 15.

Card 8Property 2

Solve: Find the difference between 73 and 37 using the reverse-number property.

Answer

Step 1: Write the numbers as ab and ba. Step 2: Use Property 2: ab - ba = 9(a - b). Step 3: For 73 and 37, a = 7 and b = 3. Step 4: 73 - 37 = 9(7 - 3) = 9 × 4 = 36. Answer: 36.

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Frequently Asked Questions

What are the important topics in Playing With Numbers for ICSE Class 8 Mathematics?
Key topics in Playing With Numbers include Generalized Form and Place Value, Properties of Reversed Numbers and Cyclic Numbers, Cryptarithms, Divisibility Tests. Study these first, then practise questions on each for Class 8 exams.
How many flashcards are available for Playing With Numbers?
There are 34 flashcards for Playing With Numbers covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Playing With Numbers for Class 8 exams?
Learn the core ideas first, then work through the 36 practice questions on Playing With Numbers. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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