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Daily Homework Quiz For use after Lesson 4.8 Write the number in scientific notation. 1.   78,000 Write the number in standard form. 2.   4.5 x  10 6
Daily Homework Quiz For use after Lesson 4.8 Write the number in scientific notation. 1.   78,000 Write the number in standard form. ANSWER 7.8 x 10 4 2.   4.5 x  10 6 4,500,000 ANSWER
4.8 Scientific Notation
Part 2 – Small Numbers Scientific notation can also be used to represent very, very small numbers. The DNA in a chromosome is very thin and tightly packed inside a cell, twisted and coiled so that it is 1/10000 cm long.   1/10000 = 0.0001
Look for patterns and complete the chart. Decimal Form Number Factored Form With Exponents 10.0 10 10 10 1 1.0 1 1 10 0 0.1 0.01 0.001 1/1000 1/10 x 1/10 x 1/10 10  -3
Decimal Form Number Factored Form With Exponents 10.0 10 10 10 1 1.0 1 1 10 0 0.1 1/10 1/10 10 -1 0.01 1/100 1/10 x 1/10 10  -2 0.001 1/1000 1/10 x 1/10 x 1/10 10  -3
Scientific Notation Video Scientific Notation for Very Low Numbers
A number in scientific notation has two parts: A number greater than or equal to 1,  but less than 10  multiplied by   a   power of ten
These numbers today will be small POSITIVE numbers, but expressed with  negative exponents . -1  0  1  2
Write each number in scientific notation: 1) 0.0035 2) 0.0000006 3) 0.0000024 4) 24 millionths 0.000024 5) 14 hundredths 0.14 6) 218 hundred-thousandths 0.00218
Write each number in scientific notation: 1) 0.0035 2) 0.0000006 3) 0.0000024 4) 24 millionths 0.000024 5) 14 hundredths 0.14 6) 218 hundred-thousandths 0.00218 1. 3.5 x 10 -3   2. 6.0 x 10 -7   3. 2.4 x 10 -6   4. 2.4 x 10 -5   5. 1.4 x 10 -1 6. 2.18 x 10 -3
Put each in decimal (standard) form: 3.7 x 10  -5 6 x 10  -3 9.752 x 10  -8 1 x 10  -7
Put each in decimal (standard) form: 3.7 x 10  -5 6 x 10  -3 9.752 x 10  -8 1 x 10  -7 0.000037  2) 0.006 3) 0.00000009752 4) 0.0000001
Partner Squares Find the person who has the same number written on his/her card but in the opposite notation.
Assignment Scientific Notation Worksheet

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4.8 scientific notation small numbers - 1

  • 1. Daily Homework Quiz For use after Lesson 4.8 Write the number in scientific notation. 1. 78,000 Write the number in standard form. 2. 4.5 x 10 6
  • 2. Daily Homework Quiz For use after Lesson 4.8 Write the number in scientific notation. 1. 78,000 Write the number in standard form. ANSWER 7.8 x 10 4 2. 4.5 x 10 6 4,500,000 ANSWER
  • 4. Part 2 – Small Numbers Scientific notation can also be used to represent very, very small numbers. The DNA in a chromosome is very thin and tightly packed inside a cell, twisted and coiled so that it is 1/10000 cm long. 1/10000 = 0.0001
  • 5. Look for patterns and complete the chart. Decimal Form Number Factored Form With Exponents 10.0 10 10 10 1 1.0 1 1 10 0 0.1 0.01 0.001 1/1000 1/10 x 1/10 x 1/10 10 -3
  • 6. Decimal Form Number Factored Form With Exponents 10.0 10 10 10 1 1.0 1 1 10 0 0.1 1/10 1/10 10 -1 0.01 1/100 1/10 x 1/10 10 -2 0.001 1/1000 1/10 x 1/10 x 1/10 10 -3
  • 7. Scientific Notation Video Scientific Notation for Very Low Numbers
  • 8. A number in scientific notation has two parts: A number greater than or equal to 1, but less than 10 multiplied by a power of ten
  • 9. These numbers today will be small POSITIVE numbers, but expressed with negative exponents . -1 0 1 2
  • 10. Write each number in scientific notation: 1) 0.0035 2) 0.0000006 3) 0.0000024 4) 24 millionths 0.000024 5) 14 hundredths 0.14 6) 218 hundred-thousandths 0.00218
  • 11. Write each number in scientific notation: 1) 0.0035 2) 0.0000006 3) 0.0000024 4) 24 millionths 0.000024 5) 14 hundredths 0.14 6) 218 hundred-thousandths 0.00218 1. 3.5 x 10 -3 2. 6.0 x 10 -7 3. 2.4 x 10 -6 4. 2.4 x 10 -5 5. 1.4 x 10 -1 6. 2.18 x 10 -3
  • 12. Put each in decimal (standard) form: 3.7 x 10 -5 6 x 10 -3 9.752 x 10 -8 1 x 10 -7
  • 13. Put each in decimal (standard) form: 3.7 x 10 -5 6 x 10 -3 9.752 x 10 -8 1 x 10 -7 0.000037 2) 0.006 3) 0.00000009752 4) 0.0000001
  • 14. Partner Squares Find the person who has the same number written on his/her card but in the opposite notation.