Place ValueTen Times Bigger

Objective

• I can determine that a digit in one place represents ten times what it represents in the place to its right.

Essential Questions

• 1. What is base ten? How would you use it in division?

Review

What is the name of each place value?

What is the value of...• the 6 in the number

1,234,567?

• 6 sets of 10

6 sets of 10 equals 60

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.

Compare/Contrast Sets of a Place Value

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

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

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

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

Relationships Between Different Place Values

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

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

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

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

Patterns with Place Value

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.

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!

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

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!

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

• How is the number 3 in the number 936 similar to and different from the 3 in the number 362?

Let’s Practice!

• 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!

• What is true about this pattern?

• 5, 50, 500, 5000

Let’s Practice!

• 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!

Closure

Place Value Scramble

If you have a place value card on your desk, come on up to the front of the

class!