Basic Mathematics for College Students

(Nandana) #1

NOTATION


Fill in the blanks.


  1. The columns to the right of the decimal point in a
    decimal number form its fractional part. Their place
    value names are similar to those in the whole-number
    part, but they end in the letters “ .”

  2. When reading a decimal, such as 2.37, we can read the
    decimal point as “ ” or as “ .”

  3. Write a decimal number that has...
    6 in the ones column,
    1 in the tens column,
    0 in the tenths column,
    8 in the hundreds column,
    2 in the hundredths column,
    9 in the thousands column,
    4 in the thousandths column,
    7 in the ten thousands column, and
    5 in the ten-thousandths column.

  4. Determine whether each statement is true or false.
    a.
    b.
    c.
    d.


GUIDED PRACTICE
Answer the following questions about place value.See Example 1.


  1. Consider the decimal number: 145.926
    a. What is the place value of the digit 9?
    b. Which digit tells the number of thousandths?
    c. Which digit tells the number of tens?
    d. What is the place value of the digit 5?

  2. Consider the decimal number: 304.817
    a. What is the place value of the digit 1?
    b. Which digit tells the number of thousandths?
    c. Which digit tells the number of hundreds?
    d. What is the place value of the digit 7?

  3. Consider the decimal number: 6.204538
    a. What is the place value of the digit 8?
    b. Which digit tells the number of hundredths?
    c. Which digit tells the number of ten-thousandths?
    d. What is the place value of the digit 6?

  4. Consider the decimal number: 4.390762
    a. What is the place value of the digit 6?
    b. Which digit tells the number of thousandths?
    c. Which digit tells the number of ten-thousandths?
    d. What is the place value of the digit 4?


0.001.0010


1.28001.280


1.2601.206


0.90.90


Write each decimal number in expanded form.See Example 2.


  1. 37.89

  2. 26.93

  3. 124.575

  4. 231.973

  5. 7,498.6468

  6. 1,946.7221


326 Chapter 4 Decimals


27. 6.40941


28. 8.70214


Write each decimal in words and then as a fraction or mixed
number.See Example 3.


  1. 0.3 30. 0.9

  2. 50.41 32. 60.61


33. 19.529 34. 12.841


35. 304.0003 36. 405.0007
















Write each number in standard form.See Example 4.


  1. Six and one hundred eighty-seven thousandths

  2. Four and three hundred ninety-two thousandths

  3. Ten and fifty-six ten-thousandths

  4. Eleven and eighty-six ten-thousandths

  5. Negative sixteen and thirty-nine hundredths

  6. Negative twenty-seven and forty-four hundredths

  7. One hundred four and four millionths

  8. Two hundred three and three millionths
    Place an or an symbol in the box to make a true statement.
    See Example 5.

  9. 2.59 2.55 50. 5.17 5.14

  10. 45.103 45.108 52. 13.874 13.879

  11. 3.28724 3.2871 54. 8.91335 8.9132

  12. 379.67 379.6088 56. 446.166 446.2







  13. 0.065 0.066 60. 3.99 3.9888


23.45 23.1 301.98 302.45


 

1,072.499 3,076.177


0.00137 0.00613

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