Chapter 1 Lesson 5 Understanding Place Value LEAP FROG WITH NUMBERS Chapter 1 Lesson 5 Understanding Place Value

Pre-Skills Review What is the place value of the underlined digit in each number? 78.59 ______________ 6,543.02 _____________ What is the value of the underlined digit in each number? 2,307.81 __________ 786.1 __________ How is the digit 6 in #2 at the top different than the 6 in #2 at the bottom? tenths thousands .01 6 The 6 in the top number is worth 6,000. The 6 in the bottom number is only worth 6.

Essential Question How does the position of a digit in a number relate to its value?

I Can . . . Find the place and value of digits within a number. Recognize that a digit in one place represent 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

Key Terms Decimal – A number that has a digit in the tenths place, hundredths place, and beyond. Place Value – The value given to a digit by its position in a number. Value – The numerical worth or amount of a digit.

This place value chart can be used to model changing the digits throughout this powerpoint. Be sure to print off the decimal place value chart for students to use throughout this lesson. (The place value decimal chart is located on OneDrive under First Nine Weeks, Chapter 1).

Mini-Lesson 8 5 . 4 7 In the number below, the frog with digit 7 will leap 2 places to the left. Seven will take 5’s place, so 5 and 4 will move one place to the right. Teacher introduces slide with: Leap Frog is a game children have played for many years. In this game, one child jumps over another child to change places. Frogs can play leap frog too! In this lesson the frogs have numbers. Teacher should use a place value to model the digits changing places. Students How did “7” change when he moved? Did he increase or decrease in value? By how much? ANSWER: He increased 100 times. He was worth .07, but now is worth 7. The new number is 87.54.

Mini-Lesson 4 8 . 2 9 In the number below, the frog with digit 8 will leap 1 place to the left. Teacher introduces slide with: Leap Frog is a game children have played for many years. In this game, one child jumps over another child to change places. Frogs can play leap frog too! In this lesson the frogs have numbers. Before the move he was 10 times greater. Did he increase or decrease in value? By how much? ANSWER: The frog decreased in value. He is 1/10 less. He was worth 8.0, but now is worth .8.

Mini-Lesson In the chart below, the digit 4 is leaping over the other digits. He is trying to become greater in value. Fill in the missing values, then find which move gives 4 the greatest value. Number Direction of the jump The amount of jumps Original value of 4 New value of 4 65.043 Right 1 place .04 3,014.67 Left 2 places 400 5,412.608 4 Teachers: Be sure to use the vocabulary and stress the difference between 1/10 less, 1/10 greater, and 10/100 times greater. Focus on the value of 4 both before and after the jumps. It may be helpful to give students a place value chart to assist them in seeing the jumps. 1/10 .004 100 4 1/10 40

Mini-Lesson Six is very sneaky! He keeps hopping over the other digits. See if you can keep up with where the 6 has moved in the following numbers. Find his place value and his value in each number below. Number Place value of 6 Value of 6 1. 6,783.09 thousands 2. 8.76 .06 3. 4,321.6 tenths 4. 26,089 6,000 6,000 hundredths .6 thousands How many times greater is the 6 in #3 than the 6 in #2? _____ How many times less is the 6 in #2 than the 6 in #1? ______ 10 times 100,000

Name Name Name Name k So with this template: The Hands-On Activities= Teacher Group At Your Seat= Independent Work Math Facts= Fluency Teacher Choice= Station D Name Name Name Name k

Sharing Time How does a place value chart help you recognize the relationship between the value of the digits in a decimal?

Exit Ticket 3 3 4 6 5 0 Create a number using the digits above and the following guidelines: There are two 3s in the number. One three has a value that is 1/100 of the other 3. The 4 has the greatest value. The 0 is in the tens place. The 6 in the hundredths place. The 5 is in a place value that is 10 times greater than the place value of 6. 4,303.56