LEAP FROG WITH NUMBERS Chapter 1 Lesson 5

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? tenths 1) 78. 59 _______ thousands 2) 6, 543. 02 _______ What is the value of the underlined digit in each number? . 01 1) 2, 307. 81 _____ 6 2) 786. 1 _____ 3) How is the digit 6 in #2 at the top different than the 6 in #2 at the bottom? 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.

Mini-Lesson ØIn 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. 8 5. 4 7 ØHow did “ 7” change when he moved? Did he increase or decrease in value? By how much? ØANSWER: He increased 100 times. He was worth. 07, but now is worth 7. The new number is 87. 54.

Mini-Lesson ØIn the number below, the frog with digit 8 will leap 1 place to the left. 4 8. 2 9 ØBefore the move he was 10 times greater. Did he increase or decrease in value? By how much? ØANSWER: 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 1/10 . 04 . 004 3, 014. 67 Left 2 places 100 4 400 5, 412. 608 Right 1 place 1/10 40 4

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 1. 6, 783. 09 thousands 2. 8. 76 hundredths 3. 4, 321. 6 tenths 4. 26, 089 thousands Value of 6 6, 000. 06. 6 6, 000 10 times How many times greater is the 6 in #3 than the 6 in #2? _____ 100, 000 How many times less is the 6 in #2 than the 6 in #1? ______

Name k Name

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

Exit Ticket Ø 3 3 4 6 5 0 Create a number using the digits above and the following guidelines: a. There are two 3 s in the number. One three has a value that is 1/100 of the other 3. b. The c. 4 has the greatest value. The 0 is in the tens place. d. The e. The 4, 303. 56 6 in the hundredths place. 5 is in a place value that is 10 times greater than the place value of 6.