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Here are some tips for Decimal Place Value, which aligns with New York state standards:

Decimal Place Value

Note: All decimal place values end in "th"

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

)

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