# Scientific Notation PreAlgebra Number Sense 1 1 The

Scientific Notation Pre-Algebra Number Sense 1. 1

The Universe Within

Vocabulary Scientific Notation – is a product of two numbers. One number is between 1 and 10 and the other is a power of 10. For Example 8 x 105

What is the Standard Form? 2 1 x 10 3 1 x 10 4 1 x 10 5 1 x 10 100 1, 000 100, 000

What is the Standard Form? Notice the relationship between the exponent and the number of zeroes in the standard form. 2 1 x 10 3 1 x 10 4 1 x 10 5 1 x 10 100 1, 000 100, 000

What Is the Standard Form? Notice the relationship between the positive exponent and the placement of the decimal to the right. 2 1 x 10 3 1 x 10 4 1 x 10 5 1 x 10 . 0. 100 110. 00 1000. 100. 0 10. 00 1. 000 1000. 0 10, 000 100. 00 10. 000 1. 0000 10000. 100, 000 100000. 10000. 0 1000. 00 100. 000 10. 0000 1. 00000

What Is the Standard Form? -2 1 x 10 -3 1 x 10 -4 1 x 10 -5 1 x 10 0. 01 0. 0001 0. 00001

What Is the Standard Form? Notice the relationship between the exponent and the number of zeroes in the standard form. -2 1 x 10 -3 1 x 10 -4 1 x 10 -5 1 x 10 0. 01 0. 0001 0. 00001

What Is the Standard Form? Notice the relationship between the negative exponent and the placement of the decimal to the left. -2 0. 01. 11. 1 x 10 -3 0. 001. 01. 1 x 10 -4 0. 0001. 01. 1 x 10 -5 0. 00001. 11. 1 x 10

Writing Large Numbers in Scientific Notation Move the decimal to the right two place values. 2 6 x 10 = 600

Remember! The exponent is the same as the number of zeros. 2 6 x 10 = 600

What is the Standard Number? 4 9. 2 x 10 = 92, 000

What is the Standard Number? Move the decimal to the left three place values. -3 8. 24 x 10 = 0. 00824

What is the Standard Number? -2 7 x 10 = 0. 07

What is the Standard Number? 2 7 x 10 = 700

What is the Standard Number? 3 8. 24 x 10 = 8, 240

What is the Standard Number? 1 4. 01 x 10 = 40. 1

What is the Standard Number? -4 9. 2 x 10 = 0. 00092

What is the Standard Number? -1 4. 01 x 10 = 0. 401

What is the Scientific Notation? 500 = 5 x 10 2

What is the Scientific Notation? 6, 238 = 3 6. 238 x 10

What is the Scientific Notation? 94, 872 = 9. 4872 x 10 4

What is the Scientific Notation? 5 795, 041 = 7. 95041 x 10

What is the Scientific Notation? 0. 05 = 5 x 10 -2

What is the Scientific Notation? 0. 006238 = -3 6. 238 x 10

What is the Scientific Notation? -4 0. 0009487 = 9. 487 x 10

What is the Scientific Notation? 0. 000079504 = 7. 9504 x 10 -5

Summary Define scientific notation? Explain the usefulness of scientific notation? What is the difference between a number written in standard form and a number written in scientific notation? Explain how to write a number in standard form into scientific notation. Explain how to write a number in scientific notation in standard form.

Show me what you have learned. Choose one standard number and write it in scientific notation. 1, 632745 28. 59 0. 08 Now write in order the steps you used to write your number in scientific notation.

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