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2) Express the following numbers exponentially: a. 0.0000034: c. 6,050: b. 16 um to mm 3) Perform the following conversion problems. SHOW YOUR WORK. a. 0.0003 m to mm c. 6 nm to A mo d. 3 A to m Y e. 13 mm to nm f. 4 m to um b. 72,000,000: g. 3 g to mg d. 0.00348: mr mr DO

2) Express the following numbers exponentially: a. 0.0000034: c. 6,050: b. 16 um to mm 3) Perform the following conversion problems. SHOW YOUR WORK. a. 0.0003 m to mm c. 6 nm to A mo d. 3 A to m Y e. 13 mm to nm f. 4 m to um b. 72,000,000: g. 3 g to mg d. 0.00348: mr mr DO

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Exponential Notation and Conversion Problems #### 1. Express the following numbers exponentially: a. \( 0.0000034 \) b. \( 72,000,000 \) c. \( 6,050 \) d. \( 0.00348 \) #### 2. Perform the following conversion problems. **Show your work.** a. \( 0.0003 \) meters to millimeters (mm) b. \( 16 \) micrometers (um) to millimeters (mm) c. \( 6 \) nanometers (nm) to Ångströms (Å) d. \( 3 \) Ångströms (Å) to meters (m) e. \( 13 \) millimeters (mm) to nanometers (nm) f. \( 4 \) meters (m) to micrometers (um) g. \( 3 \) grams (g) to milligrams (mg) ### Explanation: 1. **Exponential Notation**: - Exponential notation is a way of writing numbers that are too large or too small to be conveniently written in decimal form. It involves expressing numbers as a product of a number (between 1 and 10) and a power of 10. 2. **Conversion Problems**: - Conversion problems typically involve changing a quantity from one unit of measure to another using conversion factors. - For example, for a) \( 0.0003 \) meters to millimeters: \( 1 \) meter = \( 1,000 \) millimeters, so \( 0.0003 \times 1,000 = 0.3 \) millimeters. - For g) \( 3 \) grams to milligrams: \( 1 \) gram = \( 1,000 \) milligrams, so \( 3 \times 1,000 = 3,000 \) milligrams. When performing these conversions, always ensure to multiply or divide by the correct power of 10 to accurately reflect the new unit of measure.
Transcribed Image Text:### Exponential Notation and Conversion Problems #### 1. Express the following numbers exponentially: a. \( 0.0000034 \) b. \( 72,000,000 \) c. \( 6,050 \) d. \( 0.00348 \) #### 2. Perform the following conversion problems. **Show your work.** a. \( 0.0003 \) meters to millimeters (mm) b. \( 16 \) micrometers (um) to millimeters (mm) c. \( 6 \) nanometers (nm) to Ångströms (Å) d. \( 3 \) Ångströms (Å) to meters (m) e. \( 13 \) millimeters (mm) to nanometers (nm) f. \( 4 \) meters (m) to micrometers (um) g. \( 3 \) grams (g) to milligrams (mg) ### Explanation: 1. **Exponential Notation**: - Exponential notation is a way of writing numbers that are too large or too small to be conveniently written in decimal form. It involves expressing numbers as a product of a number (between 1 and 10) and a power of 10. 2. **Conversion Problems**: - Conversion problems typically involve changing a quantity from one unit of measure to another using conversion factors. - For example, for a) \( 0.0003 \) meters to millimeters: \( 1 \) meter = \( 1,000 \) millimeters, so \( 0.0003 \times 1,000 = 0.3 \) millimeters. - For g) \( 3 \) grams to milligrams: \( 1 \) gram = \( 1,000 \) milligrams, so \( 3 \times 1,000 = 3,000 \) milligrams. When performing these conversions, always ensure to multiply or divide by the correct power of 10 to accurately reflect the new unit of measure.
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