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Write each of the following numbers in scientific notation. a. 3,300,000 b. 0.0693 c. 0.0068297 a. 3,300,000 = (Use the multiplication symbol in the math palette as needed

Write each of the following numbers in scientific notation. a. 3,300,000 b. 0.0693 c. 0.0068297 a. 3,300,000 = (Use the multiplication symbol in the math palette as needed

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Write each of the following numbers in scientific notation. a. 3,300,000 b. 0.0693 c. 0.0068297 a. 3,300,000 = (Use the multiplication symbol in the math palette as needed
Transcribed Image Text:Write each of the following numbers in scientific notation. a. 3,300,000 b. 0.0693 c. 0.0068297 a. 3,300,000 = (Use the multiplication symbol in the math palette as needed
View an example | All parts showing Write each of the following numbers in scientific notation. a. 46,000,000 b. 0.000000212 c. 0.050461 X Scientific notation is a format in which a number is expressed as a number between 1 and 10 multiplied by a power of 10. To convert a number from ordinary to scientific notation, start by moving the decimal point so it is after the first nonzero digit. a. To place the decimal point after the first nonzero digit in 46,000,000, move the decimal point 7 places to the left. The power of 10 in the number is determined by the movement of the decimal point. Since the decimal point moved to the left, the exponent on the power of 10 is positive. Now write 46,000,000 in scientific notation. 46,000,000=4.6x107 b. Use the same procedure to write 0.000000212 in scientific notation. Move the decimal point 7 places to the right, so that it is after the first nonzero digit in 0.000000212. The exponent in the power of 10 is negative because the decimal point moved to the right. Write 0.000000212 in scientific notation. 0.000000212=2.12×107 c. To place the decimal point after the first nonzero digit in 0.050461, move the decimal point 2 places to the right. Now write 0.050461 in scientific notation. 0.050461=5.0461 x 10-²
Transcribed Image Text:View an example | All parts showing Write each of the following numbers in scientific notation. a. 46,000,000 b. 0.000000212 c. 0.050461 X Scientific notation is a format in which a number is expressed as a number between 1 and 10 multiplied by a power of 10. To convert a number from ordinary to scientific notation, start by moving the decimal point so it is after the first nonzero digit. a. To place the decimal point after the first nonzero digit in 46,000,000, move the decimal point 7 places to the left. The power of 10 in the number is determined by the movement of the decimal point. Since the decimal point moved to the left, the exponent on the power of 10 is positive. Now write 46,000,000 in scientific notation. 46,000,000=4.6x107 b. Use the same procedure to write 0.000000212 in scientific notation. Move the decimal point 7 places to the right, so that it is after the first nonzero digit in 0.000000212. The exponent in the power of 10 is negative because the decimal point moved to the right. Write 0.000000212 in scientific notation. 0.000000212=2.12×107 c. To place the decimal point after the first nonzero digit in 0.050461, move the decimal point 2 places to the right. Now write 0.050461 in scientific notation. 0.050461=5.0461 x 10-²
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