Place Value Ten 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

Compare/Contrast Sets of a Place Value Model 426 462 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

Compare/Contrast Sets of a Place Value Model 426 462 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

Compare/Contrast Sets of a Place Value Model 426 462 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.

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

Relationships Between Different Place Values Model 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 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 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? The hundreds place value is ten times bigger than the tens place value.

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

Let’s Practice! 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

Closure Place Value Scramble Give seven random students the place value cards attached with this Keynote. Call those seven students up to the front of the class with their place value card. Have students stand in any order and show their place value cards. Have the rest of the class count down from fifteen, while the students at the front of the class get in order according to their place value. Once students are in order, review the concept of each place value is ten times bigger than the place value to the right. As you review this concept, point to the student representing each place value and have them flex their muscles, illustrating that they are ten times bigger than the place value you are comparing. Place Value Scramble If you have a place value card on your desk, come on up to the front of the class!