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Understanding Place Value and Number Representation in Math

In this lesson, we will explore how to represent, compare, and order numbers using place value. You'll learn about the organization of numbers within place value columns and the significance of each digit's place. We will cover standard and expanded forms and practice converting numbers between these formats. Examples and exercises will help solidify your understanding of place value charts and how to express numbers both in standard and expanded forms. Get ready to enhance your numerical comprehension!

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Understanding Place Value and Number Representation in Math

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Presentation Transcript

  1. What we’ll learn: • Represent, compare & order numbers • Understand Place Value columns Lesson #1: Place Value

  2. Place Value Columns: • The columns are used to organize numbers • For each place value family, there are 3 place value columns • One’s Family

  3. ones Trick: Oliver Tried Ham That Tasted Horirbly Mouldy • Each digit has a certain place value Handout: Place Value Chart

  4. Practice Reading a Decimal # 8.59 eight AND fifty nine hundredths 1122.0025 one thousand, one hundred twenty two AND twenty five ten thousandths

  5. Words Worth Knowing (WWK) 1) Standard Form: • The way you “normally” write a number 2) Expanded Form: • Show the TOTAL value of each digit

  6. Expanded Form Practice • Writing a number showing the total 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 = 500 + 40 + 3

  7. Expanded Form: Practice • Complete the expanded form of the following numbers: 1) 384 = _______ + 80 + _______ 2) 6257 = 6000 + ________ + ______ + ______ 3) 37 = 10x3 + ________ 4) 4826 = ________ + 100x8 + _______ + _____ 5) 219.2 = ______ + _______ + ______ + ______

  8. What is the standard form of these expanded form numbers: 1) 800 + 40 + 3 = 2) 20 000 + 600 + 40 + 9 = 3) 1000x4 + 100x5 + 1x3 = 4) 100x9 + 1x8 + 1/10x5 =

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