Unit 1: Number Sense

Mrs. Miller

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Answer each question to the best of your ability. You may use paper and pencil to work out your problems first.

  1. What is the value of the 3 in 76,023,775?
  2. Your answer:
    3 hundred
    37 hundred
    30 thousand
    3 thousand


  3. Which digit is in the ten-billions place in 564,088,231,362
  4. Your answer:
    8
    6
    2
    3


  5. What is the prime factorization of 42?
  6. Your answer:
    2 x 3 x 7
    (7 x 3)^2
    2^3 x 7
    2^2 x 4


  7. What is 3^2 x 2^3?
  8. Your answer:
    36
    54
    28
    72


  9. Which shows the standard form of 8.74 X 10^6?
  10. Your answer:
    87,410
    874
    874,000
    8,740,000


  11. Show 5^3 as a multiplication problem.
  12. Your answer:
    5 x 5 x 5
    5 x 3
    3x3x3x3x3
    53


  13. What is the value of 2^5?
  14. Your answer:
    10
    64
    32
    16


  15. Show 3 x 3 x 3 x 3 x 3 as an exponent.
  16. Your answer:
    5^3
    3^3
    3(5)
    3 ^ 5


  17. Which expression shows 8 more than a number?
  18. Your answer:
    8/n
    n-8
    8 + n
    8n


  19. Sadie owns x music CDs. Leighana has 2 more than half of what Sadie owns. Which expression shows the number of music CDs owned by Leighana?
  20. Your answer:
    x/2
    x + 2
    x/2 + 2
    2/x + 2


  21. Katarina talks on the phone for w minutes each night. Trinity talks for twice that amount, and Hannah talks for 10 minutes more than Trinity. Which expression shows the minutes which Hannah talks on the phone each night?
  22. Your answer:
    x + 10
    w + 10
    2w
    2w + 10


  23. Solve 3^2 + h + 7 if h = 3
  24. Your answer:
    16
    13
    3
    19


  25. Sove 2r^2 + (4x6) if r = 3
  26. Your answer:
    24
    48
    42
    36


  27. 7h + 5 if h = 5
  28. Your answer:
    35
    40
    75
    35


  29. 5c - 2^2 if c = 8
  30. Your answer:
    42
    36
    58
    56


  31. Show in standard form: 3 x 10^5 + 8 x 10^4 + 9 x 10 ^3 + 2 x 2^2 + 7
  32. Your answer:


  33. Write in exponential form: 672,000
  34. Your answer:


  35. Find the GCF of 12 and 18.
  36. Your answer:


  37. Find the GCF of 5 and 30.
  38. Your answer:


  39. Find the LCM of 6 and 18.
  40. Your answer:



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