Practice Exercises – Place Value

Use these practice exercises to test your understanding of place value across all topics. Attempt each question independently before checking your answers. The exercises are grouped by difficulty level.

Level 1 – Foundation

1. Write the place value of each digit in 5,307.
2. What digit is in the hundreds place of 24,816?
3. Write 3,000 + 400 + 90 + 5 in standard form.
4. What is the face value of 6 in 6,000?
5. Write 802 in expanded form.
6. Write "seven hundred and forty-two" as a numeral.
7. Is 0 a significant digit in 5,003? Explain.
8. Which is larger: 6,099 or 6,901?
9. Round 365 to the nearest ten.
10. What is 7 × 10²?

Level 2 – Intermediate

11. Write 4,060,009 in word form.
12. Compare 0.082 and 0.1 using <, > or =.
13. Arrange in descending order: 1,234; 1,324; 1,243; 1,342.
14. Round 8.475 to 2 decimal places.
15. What is 350 ÷ 10³?
16. Write 0.00045 in scientific notation.
17. Convert 3.6 × 10⁵ to standard form.
18. How many significant figures does 0.00640 have?
19. Write 15 (decimal) in binary.
20. Convert octal 34 to decimal.

Level 3 – Advanced

21. Write 2,000,070 in expanded form using powers of 10.
22. Round 9,996 to the nearest hundred.
23. Compare −0.5 and −0.05. Which is smaller?
24. A number has 7 in the millions place, 0 in all other places. Write it in standard form and word form.
25. Convert binary 111111 to decimal.
26. Convert hex A9 to decimal.
27. Write 6,042,500,000 in scientific notation.
28. Round 1.0049 to 3 significant figures.
29. Write as a polynomial in x = 10: 4,030.
30. The Indian system: write 5,32,00,000 in the International system.

Level 4 – Extension

31. How many significant figures in 0.08090?
32. Convert decimal 255 to hexadecimal.
33. Express the binary number 10000000 as a decimal and then in scientific notation.
34. A measurement is given as 3.00 × 10⁸ m/s. How many significant figures does this have?
35. Evaluate the polynomial 5x³ + 0x² + 3x + 7 at x = 10. What number does it represent?
36. Write the number "five crore, twenty lakhs" in the International system.
37. Round 0.009950 to 2 significant figures.
38. Convert binary 1001 1011 (with space for readability) to hexadecimal directly.
39. Prove that 999 rounded to the nearest thousand gives 1,000.
40. Order from smallest: 1.2 × 10³, 9.9 × 10², 1.0 × 10⁴, 5.0 × 10³.

Summary

These 40 practice exercises cover every place value topic from basic digit identification to polynomial representation and number base conversion. Work through them systematically, revisit topics where you lose marks, and use the solved examples page if you need to review a technique before attempting a question.