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The number 650,000 written in scientific notation would be:

A. [tex]0.65 \times 10^{-6}[/tex]

B. [tex]6.5 \times 10^{-5}[/tex]

C. [tex]6.5 \times 10^5[/tex]

D. [tex]65 \times 10^4[/tex]

Sagot :

GinnyAnsweridn
To convert the number 650,000 into scientific notation, we need to express it in the form [tex]\( a \times 10^b \)[/tex] where [tex]\( 1 \leq a < 10 \)[/tex] and [tex]\( b \)[/tex] is an integer.

Here's a step-by-step solution:

1. Identify the significant figures: The significant figures in 650,000 are "6.5".

2. Determine the power of 10: We need to count how many places we move the decimal point to convert 650,000 to 6.5.
- Start with 650,000 (which can be written as 650,000.0 for clarity).
- Move the decimal point 5 places to the left to get 6.5.

3. Construct the scientific notation: Since we moved the decimal point 5 places to the left, we multiply by [tex]\( 10^5 \)[/tex].

So, 650,000 in scientific notation is [tex]\( 6.5 \times 10^5 \)[/tex].

Looking at the given choices:
- [tex]\( 0.65 \times 10^{-6} \)[/tex]: This is not correct.
- [tex]\( 6.5 \times 10^{-5} \)[/tex]: This is not correct.
- [tex]\( 6.5 \times 10^5 \)[/tex]: This is correct.
- [tex]\( 65 \times 10^4 \)[/tex]: This is not in the proper scientific notation form as "a" must be between 1 and 10.

Therefore, the correct answer is [tex]\( 6.5 \times 10^5 \)[/tex].
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