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Playing With Numbers

ICSE · Class 8 · Mathematics

Flashcards for Playing With Numbers — ICSE Class 8 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

36 questions34 flashcards5 concepts

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34 Flashcards
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 Playing With Numbers – Complete Chapter Overview, Playing With Numbers – Complete Chapter Overview, Step-by-step process of converting a number to its generalized form. These are the concepts ICSE Class 8 examiners draw on most — study them first, then practise related questions.
How to score full marks in Playing With Numbers — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 36 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Playing With Numbers?
There are 34 flashcards for Playing With Numbers covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

Sources & Official References

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

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