1.6 Decimal Place Value through Thousandths
I can demonstrate understanding of decimal place value
through the thousandths place.
Vocabulary
 Tenths – first place to the right of decimal point. It shows how
many out of ten pieces of the whole.
 Hundredths – second place to the right of the decimal point. It
shows how many out of 100 pieces of the whole.
 Thousandths – third place to the right of the decimal point. It
shows how many out of one thousand pieces of the whole.
Decimal Place Value Chart
Use the chart to help you identify the place and the value of decimal
numbers.
Example 1:
1)
2)
3)
4)
5)
Write the number 4.37 in word form.
Write the number to the left of (before) the decimal point in words:
four.
Write the word and for the decimal point.
Write the number that comes to the right of (after) the decimal
point in words: thirty-seven.
Finally, write the name of the place that the last digit occupies:
hundredths.
Put it together: four and thirty-seven hundredths.
Example 2: Circle the digit in the thousandths place. Then write the value
of the digit.
0.456
1) The thousandths is the third place to the right of the point, so circle
the 6: 0.456
1
2) The value is 6 thousandths, (6 x .001), or (6 x
).
1,000
My math
1.6 Decimal Place Value through Thousandths
Example 3: Write six and three hundred forty-five thousandths in standard
form.
1) Write whatever number comes before the word and: 6
2) Write the decimal point for the work and.
3) Write the number that comes after the word and: 345
4) Put it all together: 6.345.
Write this number in expanded form.
1) The six is six groups of one (6 x 1)
2) The three is 3 groups of one-tenth (3 x
1
)
10
1
3)
The four is 4 groups of one-hundredth (4 x
4)
The five is 5 groups of one-thousandth (5 x
5)
Put it together: (6 x 1) + (3 x
1
) + (4 x
10
1
100
)
100
1
)
1,000
) + (5 x
1
1,000
)
Example 4: Place 3.45 on the number line.
3.45
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3.0
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3.8
Samples:
1)
Name the place and write the value of the bold digit:
2)
839.274 ________________________________________
Write seventeen and five hundredths in standard form.
_____________________________________________________
3)
Write 23.067 in expanded form and word form.
_____________________________________________________
4)
Place 2.35 on the number line.
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2.0
My math
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2.6
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