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Place Value
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Do Now
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Create a 4 digit number and underline one digit.
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For the underlined digit provide the three pieces of
information that we can learn from a place value.
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Do Now:
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Would anyone like to share their number?
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There are 3 things we can learn from a digit within a number.
Using the underline digit tell me those 3 pieces of
information.
376
6 is in the ones place
There are 6 ones
There is a value of 6
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Place Value
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Place value-the value of where the digit is in the number
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Think how many sets!
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Decimals
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Part of whole
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Based on 10 (tenth, hundredth, thousandth)
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Think of it as another way of writing fractions
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Decimals
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Tenths
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First place behind the decimal
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1/10
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Hundredths
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Second place behind the decimal
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1/100
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Thousandths
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Third Place behind the decimal point
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1/1000
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Decimals
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we look at the place value of decimals we
still learn our three things:
 The place
 How may sets
 The value
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Decimal
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.896
- tenths place
- there are 8 one tenths (1/10)
- there is a value of 8 tenths (8/10)
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Decimal
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.128
- hundredths place
- there are 2 one hundredths (1/100)
- there is a value of 2 hundredths (2/100)
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Decimal
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.658
- thousandths place
- there are 8 one thousandths (1/1000)
- there is a value of 8 one thousandths (8/1000)
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Let’s Practice!
What information do we know about the underlined digit?
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.396
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.243
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.075
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You try!
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Please work on the following worksheet!
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Place Value and Decimals
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Standard Form
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Word Form
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Expanded Form
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Place Value and Decimals
23.56
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Standard Form: 23.56
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Word Form: twenty-three and fifty six hundredths
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Since we have decimals we use the word “and” to represent the decimal
To write which part is the decimal we emphasize the “ths”; this
symbolizes a part of a whole
Expanded Form:
2(10)+3(1)+5(1/10)+6(1/100)
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Place Value and Decimals
415.856
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Standard Form: 415.856
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Word Form: four hundred fifteen and eight hundred fifty six thousandths
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Since we have decimals we use the word “and” to represent the decimal
To write which part is the decimal we emphasize the “ths”; this
symbolizes a part of a whole
Expanded Form:
4(100)+1(10)+5(1)+8(1/10)+5(1/100)+6(1/1000)
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Let’s practice
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8.65
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39.206
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89.76
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You try!
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Please work on the following hand out!
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Let’s look at value!
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Remember when we think place value we think about how
many sets the digit represents
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Think of decimals as fractions! The larger the denominator
the smaller the piece!
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1/1000<1/100<1/10
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Which has a larger value?
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.75 vs .092
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The digit 7 has the larger value because it has a value of 7/10
compared to the digit 9 which has a digit of 9/100
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Think about food would you rather have to share food with 10
people or 100 people
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Which has a larger value?
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.215 vs .3592
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The digit 2 has the larger value because it has a value of 2/10
compared to the digit 9 which has a digit of 9/1000
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Think about food would you rather have to share food with 10
people or 1000 people
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Which has the larger value?
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.986 vs .924
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.0754 vs .123
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.908 vs .298
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You try!
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Your on the following sheet!
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Before you go!
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Please write the expanded form of the following decimals:
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.321
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.9087
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.4567