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9
Dusty found out that each grain of sand weighs 40000 or .000025 of a pound. He decides to write this
number in scientific notation.
2.5 x 10
What value should Dusty record in the box?
Record your answer and fill in the bubbles on your answer
document. Be sure to use the correct place value.

9 Dusty found out that each grain of sand weighs 40000 or 000025 of a pound He decides to write this number in scientific notation 25 x 10 What value should Dus class=

Respuesta :

MrRoyal

Answer:

[tex]n = -5[/tex]

Step-by-step explanation:

Given

[tex]Digit = 0.000025[/tex]

Required

Rewrite using scientific notation, then find n

[tex]Digit = 0.000025[/tex]

Express as fraction

[tex]Digit =\frac{25}{1000000}[/tex]

This can be splitted to

[tex]Digit = 25 * 10^{-6}[/tex]

The first number must be between 1 and 10; hence, 25 can be expressed as 2..5 * 10

[tex]Digit = 2.5 * 10* 10^{-6}[/tex]

Apply law of indices

[tex]Digit = 2.5 * 10^{1-6}[/tex]

[tex]Digit = 2.5 * 10^{-5}[/tex]

Comparing n, the given options

[tex]n = -5[/tex]

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