NOTATION
Fill in the blanks.
- 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 “ .” - When reading a decimal, such as 2.37, we can read the
decimal point as “ ” or as “ .” - 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. - Determine whether each statement is true or false.
a.
b.
c.
d.
GUIDED PRACTICE
Answer the following questions about place value.See Example 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? - 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? - 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? - 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.
- 37.89
- 26.93
- 124.575
- 231.973
- 7,498.6468
- 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.
- 0.3 30. 0.9
- 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.
- Six and one hundred eighty-seven thousandths
- Four and three hundred ninety-two thousandths
- Ten and fifty-six ten-thousandths
- Eleven and eighty-six ten-thousandths
- Negative sixteen and thirty-nine hundredths
- Negative twenty-seven and forty-four hundredths
- One hundred four and four millionths
- Two hundred three and three millionths
Place an or an symbol in the box to make a true statement.
See Example 5. - 2.59 2.55 50. 5.17 5.14
- 45.103 45.108 52. 13.874 13.879
- 3.28724 3.2871 54. 8.91335 8.9132
- 379.67 379.6088 56. 446.166 446.2
- 0.065 0.066 60. 3.99 3.9888
23.45 23.1 301.98 302.45