University:
High School
Course:
High School Mathematics
Academic year:

2021
Views:

174

Pages:

2
Author:

Teagan White

Textual Content: Name: Date: Period: Scientific Notation & Significant Figures (Chapter 2) Converting to Scientific Notation Write the following numbers in scientific notation: 4,008,013 4.008013 x 10⁶ 0.00167 1.67 x 10⁻³ 455 4.55 x 10² 0.000003 3.0 x 10⁻⁶ 3,444 3.444 x 10³ Converting from Scientific Notation Write the following numbers in normal notation (convert from scientific notation): 1.52 x 10² 152 3 x 10⁴ 30000 2.09 x 10² 209 9.33 x 10⁰ 9.33 4.3 x 10⁻⁴ 0.00043 2.263 x 10⁶ 2263000 1.2 x 10⁻³ 0.0012 1.015 x 10⁻⁶ 0.000001015 8.6721 x 10¹ 86.721 4 x 10⁰ 4 Significant Figures & Rounding Indicate the number of significant figures, and then round each to the number of significant figures indicated. Ex. 1.234 has 4 significant figures and, rounded to 2 significant figures, is 1.2 0.6034 has 4 significant figures and, rounded to 2 significant figures, is 0.60 12,700 has 3 significant figures and, rounded to 2 significant figures, is 13000 12,700.00 has 7 significant figures and, rounded to 1 significant figure, is 10000 0.000983 has 3 significant figures and, rounded to 2 significant figures, is 0.00098 123342.9 has 7 significant figures and, rounded to 5 significant figures, is 123340 6.023 x 10²³ has 4 significant figures and, rounded to 2 significant figures, is 6.0 x 10²³ 0.005600 has 4 significant figures and, rounded to 1 significant figure, is 0.006 10000.5006 has 7 significant figures and, rounded to 5 significant figures, is 10001 2.0 x 10⁻³ has 2 significant figures and, rounded to 1 significant figure, is 2 x 10⁻³ 3.456110 has 7 significant figures and, rounded to 3 significant figures, is 3.46 Significant Figures & Calculations Given the following calculations and their unrounded answers, write the answers with the appropriate number of significant figures. Ex. 6.00 x 3.00 = 18 The answer should be written as 18.0 Calculations and Rounded Answers: 23 + 46 = 69 23.0 + 46.0 = 69.0 253 + 345.8 = 598.8 56 - 35 = 21 56.00 - 35.0 = 21.0 46 x 12 = 552 3.24 x 5.63 = 18.2412 (2.355 + 2.645) x 10.00 = 50 654 / 32 = 20.4375 0.024 x 0.063 = 1.512 x 10⁻³