Question

Write the following numbers in scientific notation. A. 0.004 583 4 mm B. 0.03054 g C. 438 904 s D. 7 004 300 000 g

Answer 1

The numbers in scientific notation are as follows: A.
`\(4.5834 * 10^(-3)\)` mm, B.
`\(3.054 * 10^(-2)\)` g, C.
`\(4.38904 * 10^(5)\)` s, and D.
`\(7.0043 * 10^(9)\)` g.

Step-by-step explanation:

In scientific notation, a number is expressed as the product of a coefficient and a power of 10. To convert a number to scientific notation, we focus on expressing it as a number between 1 and 10 multiplied by a power of 10.

A. For (0.0045834) mm, we move the decimal point three places to the right to get (4.5834). So, it is
`\(4.5834 * 10^(-3)\)` mm.

B. For (0.03054) g, we move the decimal point two places to the right to get (3.054). So, it is
`\(3.054 * 10^(-2)\)` g.

C. For (438904) s, we move the decimal point five places to the left to get (4.38904). So, it is
`\(4.38904 * 10^(5)\)` s.

D. For (7004300000) g, we move the decimal point nine places to the left to get (7.0043). So, it is
`\(7.0043 * 10^(9)\)` g.

In each case, the number is expressed in scientific notation, adhering to the rules of placing the decimal after the first digit and indicating the power of 10.