Question

drag each label to the correct location on the image.

match each number to the type of notation it is expressed in.

standard notation | scientific notation

labels:
5.91e10
0.0000734
(2.66 \times 10^{-3})
641,000,000,000

Explanation:

Identify standard notation

Standard notation represents numbers in their ordinary decimal form.
Looking at the choices, \(0.0000734\) and \(641,000,000,000\) are written as standard decimal numbers.

Identify scientific notation

Scientific notation represents numbers as a product of a decimal coefficient (between 1 and 10) and a power of 10.
Looking at the choices, \(2.66 \times 10^{-3}\) fits this definition.

Identify E-notation

E-notation is a shorthand for scientific notation where the "times 10 to the power of" is replaced by the letter E.
The value \(5.91\text{E}10\) represents \(5.91 \times 10^{10}\).
Since the table only has categories for "Standard Notation" and "Scientific Notation", we classify E-notation as a form of scientific notation.

Group the labels

We place each number into its correct category:

• Standard Notation: \(0.0000734\), \(641,000,000,000\)
• Scientific Notation: \(2.66 \times 10^{-3}\), \(5.91\text{E}10\)

Answer:

Standard Notation	Scientific Notation
\(641,000,000,000\)	\(5.91\text{E}10\)