2 is written in the form: a x 10n Where n is an integer a is between Scientific Notationis written in the form:a x 10nWhere n is an integera is between<10
3 Is each number written in scientific notation? If not, explain. Lesson 8-2Additional ExamplesIs each number written in scientific notation? If not, explain.a 104No; is less than 1.b 10–2yesc 106No; is greater than 10.
4 Write each number in scientific notation. Lesson 8-2Additional ExamplesWrite each number in scientific notation.a. 234,000,000Move the decimal point 8 places to the left and use 8 as an exponent.234,000,000 =Drop the zeros after the 4.2.34 108bMove the decimal point 5 places to the right and use –5 as an exponent.=6.3 10–5Drop the zeros before the 6.
5 Write each number in standard notation. Scientific NotationLesson 8-2Additional ExamplesWrite each number in standard notation.a. elephant’s mass: 8.8 104 kg8.8 104 =A positive exponent indicates a number greater than 10. Move the decimal point 4 places to the right.= 88,000b. ant’s mass: 7.3 10–5 kg 7.3 10–5 =A negative exponent indicates a number between 0 and 1. Move the decimal point 5 places to the left.=
6 Write each number in scientific notation. Lesson 8-2Additional ExamplesOrder 105, 6.03 104, 6103, and 63.1 103 from least to greatest.Write each number in scientific notation. 1036.3 104Order the powers of 10. Arrange the decimals with the same power of 10 in order.6.3 104Write the original numbers in order. 103
7 Simplify. Write each answer using scientific notation. Lesson 8-2Additional ExamplesSimplify. Write each answer using scientific notation.(6 • 8) 10–4=a.6(8 10–4)= 48 10–4Simplify inside the parentheses.= 4.8 10–3Write the product in scientific notation.(0.3 • 1.3) 103=b.0.3(1.3 103)= 0.39 103Simplify inside the parentheses.= 3.9 102Write the product in scientific notation.