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Mastering Place Value and Decimals Skills

Enhance your understanding of place value, compare and order whole numbers, and relate fractions and decimals in this comprehensive online course. Explore standard form, expanded form, and more!

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Mastering Place Value and Decimals Skills

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  1. Chapter 1 PLACE VALUE

  2. Lesson 1 – PLACE VALUE THROUGH MILLIONS • Standard form: 804,932,008 • *Each group of three digits is called a periodand is separated by a comma • Word form: eight hundred four million, nine hundred thirty-two thousand, eight • *When you get to the comma, say the period • * • Expanded form: 8 x 100,000,000 + 4x 4,000,000 + 9x 100,000 + 3 x 10,000 + 2 x 1,000 + 8 • *Split up the number using place value. For example, an 8 in the hundred millions place equals 8 x 100,000,000.

  3. Lesson 2 – compare and order whole numbers • You can line up the numbers to compare • Example: 76,552 Ο 76,852 • 76,552 • 76,852 5 < 8 so • 76,552 < 76,852

  4. Lessons 3 & 4 – Relating fractions and decimals • Examples: • 7 = 0.7 54 = 0.54 17 = 0.017 • 10 100 1,000

  5. Lessons 5 & 6 – Place value of decimals • Word form 0.55 • 1. Say the decimal as a whole number • fifty-five • Label the place value. In what column does the number end? • hundredths • Word form is fifty-five hundredths

  6. Lessons 5 & 6 – Place value of decimals • Standard form twenty-seven thousandths • 1. What is the place value? • Thousandths = 0. __ __ __ • Place the numbers to the right • 0. 02 7 • Standard form is 0.027

  7. Lessons 5 & 6 – Place value of decimals • Expanded form 0.95 • Multiply each number by it’s place value. • 0.95 = (9 x 1/10) + (5x 1/100)

  8. Lessons 7 & 8 – compare and order decimals • You can line up the numbers to compare • Example: 0.592 Ο 0.512 • 0.592 • 0.512 9 > 1 so • 0.592 > 0.512

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