Use appropriate metric prefixes to write the following measurements without use of exponents: (d) 3.523×10⁹ m³ (e) 9.62×10² m/s (f) 8.923×10^-12 kg

Guida verificata passo dopo passo

Identify the appropriate metric prefix for the given exponent. In this case, 10^9 corresponds to the prefix 'giga' (G).

Rewrite the measurement using the identified metric prefix. Replace 10^9 with 'G'.

Express the measurement as 3.523 Gm^3, where 'G' stands for 'giga'.

Ensure that the unit of measurement (m^3) remains consistent and correctly represents cubic meters.

Verify that the conversion maintains the original value's magnitude and unit.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.

Durata del video:

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Metric Prefixes

Metric prefixes are standardized terms used to denote specific powers of ten in the metric system. They simplify the representation of large or small quantities by providing a shorthand notation, such as 'kilo-' for 10^3 or 'giga-' for 10^9. Understanding these prefixes is essential for converting and expressing measurements in a more manageable form.

Video consigliato:

Percorso guidato

01:16

Metric Prefixes Usage

Scientific Notation

Scientific notation is a method of expressing numbers as a product of a coefficient and a power of ten, which allows for easier handling of very large or very small numbers. For example, 3.523×10^9 can be interpreted as 3.523 billion. Converting from scientific notation to standard metric prefixes requires knowledge of the appropriate prefix that corresponds to the exponent.

Video consigliato:

Percorso guidato

02:50

Standard Notation to Scientific Notation

Volume Measurement

Volume is a measure of the three-dimensional space occupied by a substance, commonly expressed in cubic meters (m³) in the metric system. When converting large volumes, it is important to apply the correct metric prefix to convey the measurement accurately. For instance, 3.523×10^9 m³ can be expressed as 3.523 gigameters cubed (Gm³) using the appropriate metric prefix.

Video consigliato:

Percorso guidato