place value ten times bigger. objective i can determine that a digit in one place represents ten...
TRANSCRIPT
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Place ValueTen Times Bigger
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Objective
• I can determine that a digit in one place represents ten times what it represents in the place to its right.
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Essential Questions
• 1. What is base ten? How would you use it in division?
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Review
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What is the name of each place value?
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What is the value of...• the 6 in the number
1,234,567?
• 6 sets of 10
6 sets of 10 equals 60
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As we talk about place value today, keep in mind...
Each time we go up a place value, it is ten times bigger than the place value to the right.
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Compare/Contrast Sets of a Place Value
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Compare/Contrast Sets of a Place Value
• How is the number 2 in the number 426 similar to and different from the 2 in the number 462?
426 462
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Model
• Think: What place value is the 2 in in the number 426?
• Tens place
• Think: What does the 2 in the number 426 represent?
• 2 sets of 10
426 462
Compare/Contrast Sets of a Place Value
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Model
• Think: What place value is the 2 in in the number 462?
• Ones place
• Think: What does the 2 in the number 462 represent?
• 2 sets of 1
426 462
Compare/Contrast Sets of a Place Value
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Model
• Do we notice any similarities?
• The 2 in 426 and the 2 in 462 both represent 2 sets of a place value.
• What is the difference?
• One represents 2 sets of 10, and the other represents 2 sets of 1.
426 462
Compare/Contrast Sets of a Place Value
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Relationships Between Different Place Values
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Relationships Between Different Place Values
• What is the relationship between the place value of the 3 and the place value of the 5 in the number 671,352?
• Think: What place value is the 3 in?
• hundreds
• Think: What place value is the 5 in?
• tens
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Model
• What is the relationship between the place value of the 3 and the place value of the 5 in the number 671,352?
• Think: What is the relationship between the hundreds place value and the tens place value?
Relationships Between Different Place Values
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Model• What is the relationship between
the place value of the 3 and the place value of the 5 in the number 671,352?
hundreds tens
Relationships Between Different Place Values
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Model
• What is the relationship between the place value of the 3 and the place value of the 5 in the number 671,352?
• The hundreds place value is ten times bigger than the tens place value.
Relationships Between Different Place Values
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Patterns with Place Value
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Patterns with Place Value
• What is true about this pattern?
• 6, 60, 600, 6000
• Think: Do we notice anything about these numbers?
• The 6 goes from the ones place, to the tens place, to the hundreds place, to the thousands place.
• Each time we go up a place value, that place is ten times bigger than the place value to the right.
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Patterns with Place Value
• What is true about this pattern?
• 6, 60, 600, 6000
• Think about using multiplication here:
• 6 x 1 = 6
• 6 x 10 = 60
• 6 x 100 = 600
• 6 x 1,000 = 6,000
The number we’re multiplying by gets
ten times bigger each time and so does our product!
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Patterns with Place Value
• What is the next equation?
• 4 x 7 = 28
• 40 x 7 = 280
• 400 x 7 = 2,800
• 4,000 x 7 = 28,000
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Patterns with Place Value
• What is the next equation?
• 4 x 7 = 28
• 40 x 7 = 280
• 400 x 7 = 2,800
• 4,000 x 7 = 28,000
Do you notice a pattern?Each number is getting
ten times bigger!
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Patterns with Place Value
• What is the next equation?
• 4 x 7 = 28
• 40 x 7 = 280
• 400 x 7 = 2,800
• 4,000 x 7 = 28,000
What would the next equation be?
40,000 x 7 = 280,000
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• How is the number 3 in the number 936 similar to and different from the 3 in the number 362?
Let’s Practice!
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• What is the relationship between the place value of the 8 and the place value of the 4 in the number 849,327?
Let’s Practice!
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• What is true about this pattern?
• 5, 50, 500, 5000
Let’s Practice!
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• What is the next equation?
• 6 x 3 = 18
• 6 x 30 = 180
• 6 x 300 = 1,800
• 6 x 3,000 = 18,000
Let’s Practice!
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Closure
Place Value Scramble
If you have a place value card on your desk, come on up to the front of the
class!