Place Value from Millions to Thousandths

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Place Value from Millions to Thousandths

• Unit 1

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What happens when you multiply a number by powers
of 10?
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WHAT DO YOU NOTICE ABOUT THE DIFFEFENCE OF EACH
PLACE VALUE?
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Our Number system is based on 10

• This is what is called the
• Power of Ten!

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Lets look at place value when each digit in the
number is the same

• 3,333.333

This 3 is in the ones place. It has a value of 3.
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Lets look at place value when each digit in the
number is the same

• 3,333.333

This 3 is in the tens place. It has a value of
30.
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Lets look at place value when each digit in the
number is the same

• 3,333.333

This 3 is in the hundreds place. It has a value
of 300.
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Lets look at place value when each digit in the
number is the same

• 3,333.333

This 3 is in the thousands place. It has a value
of 3000.
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That is the whole number side to the left of the
decimal

• Now lets look to the right of the decimal.

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Lets look at place value when each digit in the
number is the same

• 3,333.333

This 3 is in the tenths place. It has a value of
of the 3 in the ones place.
1 10
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Lets look at place value when each digit in the
number is the same

• 3,333.333

This 3 is in the hundredths place. It has a value
of of the 3 in the ones place.
1 100
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Lets look at place value when each digit in the
number is the same

• 3,333.333

This 3 is in the thousandths place. It has a
value of of the 3 in the ones place.
1 1000
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Practice 1

• 25 x 103 25 x (10 x 10 x 10)
• 25 x 1000
• 25.000
• 25,000

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Practice 2

• 32 x 105 32 x (10 x 10 x 10 x 10 x 10)
• 32 x 100,000
• 32.00000
• 3,200,000

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Practice 3

• 46 x 106 46 x (10 x 10 x 10 x 10 x 10 x 10)
• 46. x 1,000,000
• 46.000000
• 46,000,000

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Practice 4

• 3.5 x 104 3.5 x (10 x 10 x 10 x 10)
• 3.5 x 10,000
• 3.5000
• 35,000

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Practice 5

• 5.1 x 102 5.1 x (10 x 10)
• 5.1 x 100
• 5.10
• 510

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PRACTICE 6

• 6.73 x 105 6.73 x (10 x 10 x10 x 10 x 10)
• 6.73 x 100,000
• 6.73000
• 673,000

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What happens when you multiply a number by powers
of 10?
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What happens when you multiply a number by powers
of 10?
The exponent above the ten indicates how many
places the decimal point is moving to the right
because you are multiplying making the number 10
times greater when you multiply by the power of
ten.
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Independent Practice (Interactive Notebook)

1. 3 x 106
2. 12 x 102
3. 72 x 109
4. 8.6 x 104
5. 7.5 x 105