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Place Value

Place Value. Lesson #1. Numbers are Important !. The name or symbol used to represent a number (#) is called a Why do we need numbers ?. NUMERAL. Review: Ways of Comparing Numbers. You can list them in increasing or decreasing order Plan them on a number line

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Place Value

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  1. Place Value Lesson #1

  2. Numbers are Important! • The name or symbol used to represent a number (#) is calleda • Why do we need numbers? NUMERAL

  3. Review: Ways of Comparing Numbers • You can list them in increasing or decreasing order • Plan them on a number line • Or use the > (greater than) or < (less than) symbols

  4. Place Value: • Each digit has a certain place value • Each place has a value of 10 times the place directly to its right

  5. Place Values (before decimal)

  6. Place Values (after decimal)

  7. Face Value vs. Place Value • Face Value tells you how many ones, tens, or hundredths there are. Face value is the actual value of the digit. In the number 475, the "7" has a face value of 7. • Place value is what the digit represents IN ITS PLACE. In the number 475, the "7" is in the tens place, so the place value is 70

  8. Standard Form • The full number • The way you “normally” write a number

  9. Expanded Form • Writing a number showing the total place value of each digit • Example: 543 Placing the # into the Place Value Chart: From the chart we see 100 x 5 = 500 10 x 4 = 40 1 x 3 = 3 So 543 in expanded form 5 x 100 + 4 x 10 + 3 x 1

  10. Expanded Form with Decimals Example: 48.25 Placing the # into the Place Value Chart: From the chart we see 40x 10 = 40 8 x 1 = 8 2 x 0.1 = 0.2 5 x 0.01 = 0.05 So 48.25in expanded form 4 x 10 + 8 x 1 + 2 x 0.1+ 5 x 0.01

  11. Expanded Form: Practice • Complete the expanded form of the following numbers: 1) 384 = _______ + 8 x 10 + _______ 2) 6257 = 6 x 1000 + ______ + ______ + ______ 3) 37 = 10 x 3 + ________ 4) 4826 = ________ + 100 x 8 + _______ + _____ 5) 219.2 = ______ + _______ + ______ + ______ 3 x100 + 8 x 10 + 4 x 1 6x1000 + 2x100 + 5x10 + 7x1 3 x 10 + 7 x1 4x1000 + 8x100 + 2x10 + 6x1 2x100 + 1x10 +9x1 + 2 x 0.1

  12. Standard & Expanded Form: Practice • What is the standard form of these expanded form numbers: 1) 800 + 40 + 3 = 2) 20 000 + 600 + 40 + 9 = 3) 1000 x 4 + 100 x 5 + 1 x 3 = 4) 100 x 9 + 1 x 8 + 0.1 x 5 = 843 20 649 4 503 908.5

  13. For your notecard: PLACE VALUE & FORMS Thousands Hundreds Tens Ones/Units DECIMAL POINT Tenths Hundredths Thousandths Standard form is how a number is normally written (543) Expanded form shows each place value 543 = 5 x 100 + 4 x 10 + 3 x 1 48.25 = 4 x 10 + 8 x 1 + 2 x 0.1 + 5 x 0.01 < less than > greater than

  14. Homework!  • Complete the following questions in your workbook (this is a review of basic operations involving numbers) p. 1, #1-3 p. 2 #4, 5, 8 p. 3 #9 + 10 p. 4 #11 (try the challenge question #13) p. 5 #1-2 p. 6 #3-4

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