Use prefix multipliers to express each measurement without exponents. b. 45.9 * 10 - 7 s

Verified step by step guidance

Identify the given measurement: 45.9 \times 10^{-7} \text{s}.

Recognize that the goal is to express this measurement without using exponents by applying an appropriate prefix multiplier.

Recall that the prefix 'nano' (n) represents \(10^{-9}\), and 'micro' (\(\mu\)) represents \(10^{-6}\).

Determine which prefix multiplier is closest to \(10^{-7}\). Since \(10^{-7}\) is between \(10^{-6}\) and \(10^{-9}\), the 'micro' (\(\mu\)) prefix is the closest.

Convert the measurement by expressing 45.9 \times 10^{-7} \text{s} as 4.59 \times 10^{-6} \text{s}, which can be written as 4.59 \mu\text{s}.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.

Video duration:

46s

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Scientific Notation

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically formatted as a product of a number between 1 and 10 and a power of ten. For example, 45.9 * 10^-7 can be rewritten as 0.00000459, which is more manageable for calculations.

Prefix Multipliers

Prefix multipliers are standard prefixes used in the metric system to denote specific powers of ten. Common prefixes include 'nano-' (10^-9), 'micro-' (10^-6), and 'milli-' (10^-3). These prefixes simplify the expression of measurements by allowing scientists to communicate large or small quantities without using exponents.

Unit Conversion

Unit conversion involves changing a measurement from one unit to another while maintaining the same quantity. In the context of the question, converting 45.9 * 10^-7 seconds into a more understandable format using prefix multipliers requires recognizing the appropriate prefix that corresponds to the exponent, which in this case is 'nano-' for seconds.

Recommended video:

Guided course

01:56

Conversion Factors

Related Practice

Textbook Question

Use the prefix multipliers to express each measurement without exponents. c. 7.4 * 103 g

Textbook Question

Use the prefix multipliers to express each measurement without exponents. d. 5.2 * 106 L

Textbook Question

Use prefix multipliers to express each measurement without exponents. a. 12.1 * 108 g

Textbook Question

Use scientific notation to express each quantity with only base units (no prefix multipliers). a. 4.5 ns b. 18 fs c. 128 pm

views

Textbook Question

Use scientific notation to express each quantity with only base units (no prefix multipliers). d. 35 μm

views

Textbook Question

Use scientific notation to express each quantity with only base units (no prefix multipliers). a. 35 mL b. 225 Mm c. 133 Tg d. 1.5 cg

views