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Name Homework 1.2 Date Place Value and Powers of Ten You can use exponents to write very large and very small numbers as powers of 10. 104 ⫽ 10 ⫻ 10 ⫻ 10 ⫻ 10 ⫽ 10,000 1 1 ᎏ ᎏᎏ 10⫺3 ⫽ ᎏ (10 ⫻ 10 ⫻ 10) ⫽ 1,000 ⫽ 0.001 You can use powers of 10 to write numbers in expanded form. 57,396 ⫽ (5 ⫻ 104) ⫹ (7 ⫻ 103) ⫹ (3 ⫻ 102) ⫹ (9 ⫻ 101) ⫹ (6 ⫻ 100) 0.015 ⫽ (1 ⫻ 10⫺2) ⫹ (5 ⫻ 10⫺3) Write each number in expanded form, using powers of 10. 1. 6,000 2. 59,000,000 3. 48.002 4. 0.00038 Write each number in standard form. 5. (6 ⫻ 103) ⫹ (8 ⫻ 100) 6. (5 ⫻ 10⫺3) ⫹ (2 ⫻ 10⫺5) 7. (7 ⫻ 105) ⫹ (9 ⫻ 102) ⫹ (4 ⫻ 10⫺2) 8. (6 ⫻ 10⫺2) ⫹ (8 ⫻ 10⫺3) ⫹ (1 ⫻ 10⫺4) Algebra • Patterns Find a pattern in each sequence of numbers. Use your pattern to find the two missing terms. 9. 101, 103, 105, ______, ______, 1011 10. 2⫺1, 4⫺3, 6⫺5, ______, ______, 12⫺11 Problem Solving Show Your Work 11. A baby’s bottle contains 4.309 ounces of milk. Write this number in expanded form, using powers of 10. Copyright © Houghton Mifflin Company. All rights reserved. Use with text pages 6–7.