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Value of the Place

This lesson focuses on the importance of place value and the correct reading of numbers ranging from 0.001 to 999,999,999. Students will learn to represent whole numbers using expanded form, both with and without powers of ten. Key real-world examples demonstrate the relevance of large numbers, such as the distance from the Earth to the Sun (149,600,000 km) and the population of Earth (7,046,000,000). By the end of this lesson, students will effectively express numbers in standard, written, and expanded forms.

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Value of the Place

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  1. Value of the Place Monday, September 16, 2013

  2. Learning Goals: • Students will learn the importance of place value • Students will read small and large numbers from 0.001 to 999,999,999 correctly • Students will be able to represent whole numbers with expanded form and expanded form with powers

  3. Success Criteria • I am able to place and read numbers according to their place value • I am able to write a number in standard form, written form and expanded form • I am able to write a whole number in expanded form using the power of ten

  4. What are some real world examples of large numbers?

  5. What do these large numbers represent?

  6. Real world examples: • Distance from Earth to the Sun: • 149, 600, 000 km • Mark Zuckerberg’s net worth: • $19, 800, 000, 000 • Earth’s Population: • 7, 046, 000, 000 people

  7. Place Value Chart

  8. Expressing Numbers • Standard From: 574 • Written Form: Five hundred seventy-four • Expanded form: 500 + 70 + 4 = 5 x 100 + 7 x 10 + 4 x 1 • Expanded form using the power of 10: ?

  9. 10 to the Power of • 100 = 10 x 10 = 102 • 100,000 = 10 x 10 x 10 x 10 x 10 = 105 • 1,000 = ? • What connection can we make?

  10. Expanded form using the power of 10 • 574: • 5 x 102 + 7 x 101 + 4

  11. Expressing Numbers • Standard form: 16.47 • Word form: sixteen and forty-seven hundredths • Expanded form: 10 + 6 + 0.4 + 0.07 = 1 x 10 + 6 x 1 + 4 × 1/10 + 7 × 1/100 • Expanded form with powers of 10: 1× 101+ 6 + 4 ÷ 101+ 7 ÷ 102

  12. How can we use this in real life? • The distance from the Earth to the Sun is roughly: • 150, 000, 000 km • One hundred and fifty million kilometers • 1 x 100, 000, 000 + 5 x 10, 000, 000 • 1 x 108 + 5 x 107 or we can say the distance from the Earth to the Sun is roughly 1.5 x 107 km

  13. Value of the place and representing numbers

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