Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
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 1x10 3 1x10 4 1x10 5 1x10 100 1,000 10,000 100,000 What is the Standard Form? Notice the relationship between the exponent and the number of zeroes in the standard form. 2 1x10 3 1x10 4 1x10 5 1x10 100 1,000 10,000 100,000 What Is the Standard Form? Notice the relationship between the positive exponent and the placement of the decimal to the right. 2 1x10 3 1x10 4 1x10 5 1x10 .0. 100 110 .00 1000. 100.0 10.00 1.000 1000 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 1x10 -3 1x10 -4 1x10 -5 1x10 0.01 0.001 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 1x10 -3 1x10 -4 1x10 -5 1x10 0.01 0.001 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 1x10 -3 1x10 -4 1x10 -5 1x10 0.01 0.01 .1 1. 0.001 0.001 .01 .1 1. 0.0001 .001 .01 .1 1. 0.00001 .0001 .001 .01 .1 1. 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. 1,632 745 28.59 0.08 Now write in order the steps you used to write your number in scientific notation.