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Scientists often have to deal with numbers that are either very large or very small. For example, the radius of the Sun is approximately 696,000 kilometers, while bacterial cells are as small as [tex]$1.9 \times 10^{-4}$[/tex] millimeters. Express each number in an alternate form.

In scientific notation, the radius of the Sun is [tex]\square \times 10^\square[/tex] kilometers. In expanded notation, each bacterial cell is [tex]\square[/tex] millimeters wide.

Sagot :

GinnyAnsweridn
Sure, let's express these numbers in the correct form.

1. Radius of the Sun in Scientific Notation:

The radius of the Sun is approximately 696,000 kilometers. To express this number in scientific notation, we need to rewrite it as a product of a number between 1 and 10, and a power of 10.

The number 696,000 can be written as [tex]\( 6.96 \times 10^5 \)[/tex].

Therefore, in scientific notation, the radius of the Sun is [tex]\( \boxed{6.96} \times 10 \boxed{5} \)[/tex] kilometers.

2. Size of the Bacterial Cell in Expanded Notation:

The size of the bacterial cell is given as [tex]\( 1.9 \times 10^{-4} \)[/tex] millimeters. Expanded notation means writing the number out in full without exponents.

Hence, [tex]\( 1.9 \times 10^{-4} \)[/tex] millimeters is [tex]\( \boxed{0.00019} \)[/tex] millimeters wide.

Putting these into the boxes provided:

- In scientific notation, the radius of the Sun is [tex]\( \boxed{6.96} \times 10 \boxed{5} \)[/tex] kilometers.
- In expanded notation, each bacterial cell is [tex]\( \boxed{0.00019} \)[/tex] millimeters wide.
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