Math Skill: Decimal Place Value
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Decimal Place Value


To review the Place Value topic, see here.

Note: All decimal place values end in "th"

There are 3 ways that you can express a number.
  1. Standard form:   2358.85326
  2. Expanded form:   2000 + 300 + 50 + 8 + 0.8 + 0.05 + 0.003 + 0.0002 + 0.00006
  3. Word form:   two thousand three hundred fifty-eight and eighty-five thousand three hundred twenty-six hundred thousandths


Example 1: Identifying values

Type the value of the red digit. Example: 23.0442 = .04
1.   10.502
For 10.502, 0 is in the hundredths place.
In the expanded form, 10.502 = 10 + 0 + 0.5 + 0.00 + 0.002
So the value is 0.00.

2.   0.1927
For 0.1927, 7 is in the ten thousandths place.
In the expanded form, 0.1927 = 0.1 + 0.09 + 0.002 + 0.0007
So the value is 0.0007.


Example 2: Number forms

Type each number in standard form. Example: 2000 + 100 + 50 + 3 = 2,153
1.   8 + .07 + .002 + .0009 + .00007

2a.   nine and three hundred twenty-eight thousandths

9 . 328 ← 8 is in the thousandths place
  ↑
nine and three hundred twenty-eight thousandths
( three hundred twety-eight thousandths =  328 
1000
)

2b.   nine and twenty-eight thousandths

9 . 028 ← 8 is in the thousandths place
  ↑
nine and twenty-eight thousandths
( twety-eight thousandths =   28  
1000
)

2c.   nine and eight thousandths

9 . 008 ← 8 is in the thousandths place
  ↑
nine and eight thousandths
( eight thousandths =    8   
1000
)

Complexity=2

Type each number in standard form. Example: 2000 + 100 + 50 + 3 = 2,153
1.   twenty-four and twenty-one thousandths
2.   twenty-three and eight hundred forty-one thousandths

Complexity=20

Type the value of the red digit. Example: 23.0442 = .04
1.   59.0428
2.   37.0689

Complexity=100

Type the value of the red digit. Example: 23.0442 = .04
1.   22.3783
2.   32.01875

Complexity=500

Type the value of the red digit. Example: 23.0442 = .04
1.   116.59739
2.   121.80918

Complexity=2000

Type each number in standard form. Example: 2000 + 100 + 50 + 3 = 2,153
1.   40 + 7 + .4 + .08 + .003 + .0008 + .00006 + .000005
2.   one hundred four and nine hundred forty-one thousand five
hundred seventeen millionths

Complexity=10000

Type each number in standard form. Example: 2000 + 100 + 50 + 3 = 2,153
1.   ninety-nine and five million seven hundred sixty-four
thousand three hundred ninety-two ten millionths
2.   thirty-six and eight hundred twenty thousand four hundred
ninety-one ten millionths

Complexity=100000

Type each number in standard form. Example: 2000 + 100 + 50 + 3 = 2,153
1.   80 + .1 + .05 + .008 + .0007 + .00004 + .000005 + .0000007
+ .00000005
2.   20 + 1 + .05 + .0003 + .00009 + .000005 + .0000008 +
.00000007

Answers


Complexity=2

Type each number in standard form. Example: 2000 + 100 + 50 + 3 = 2,153
#ProblemCorrect AnswerYour Answer
1twenty-four and twenty-one thousandths
#ProblemCorrect AnswerYour Answer
2twenty-three and eight hundred forty-one thousandths

Complexity=20

Type the value of the red digit. Example: 23.0442 = .04
#ProblemCorrect AnswerYour Answer
159.0428
#ProblemCorrect AnswerYour Answer
237.0689

Complexity=100

Type the value of the red digit. Example: 23.0442 = .04
#ProblemCorrect AnswerYour Answer
122.3783
#ProblemCorrect AnswerYour Answer
232.01875

Complexity=500

Type the value of the red digit. Example: 23.0442 = .04
#ProblemCorrect AnswerYour Answer
1116.59739
#ProblemCorrect AnswerYour Answer
2121.80918

Complexity=2000

Type each number in standard form. Example: 2000 + 100 + 50 + 3 = 2,153
#ProblemCorrect AnswerYour Answer
140 + 7 + .4 + .08 + .003 + .0008 + .00006 + .000005
#ProblemCorrect AnswerYour Answer
2one hundred four and nine hundred forty-one thousand five
hundred seventeen millionths

Complexity=10000

Type each number in standard form. Example: 2000 + 100 + 50 + 3 = 2,153
#ProblemCorrect AnswerYour Answer
1ninety-nine and five million seven hundred sixty-four
thousand three hundred ninety-two ten millionths
#ProblemCorrect AnswerYour Answer
2thirty-six and eight hundred twenty thousand four hundred
ninety-one ten millionths

Complexity=100000

Type each number in standard form. Example: 2000 + 100 + 50 + 3 = 2,153
#ProblemCorrect AnswerYour Answer
180 + .1 + .05 + .008 + .0007 + .00004 + .000005 + .0000007
+ .00000005
#ProblemCorrect AnswerYour Answer
220 + 1 + .05 + .0003 + .00009 + .000005 + .0000008 +
.00000007