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What number is [tex]$8.0007 \cdot 10^6$[/tex] in scientific notation?

A. [tex]$80,007,000$[/tex]
B. [tex][tex]$8,000,700$[/tex][/tex]
C. [tex]$8,007,000$[/tex]
D. [tex]$80,000,700$[/tex]

Sagot :

To convert the number [tex]\(8.0007 \cdot 10^6\)[/tex] from scientific notation to standard notation, we need to move the decimal point 6 places to the right, since the exponent on 10 is 6. Let's examine this process step by step:

1. Start with the number [tex]\(8.0007\)[/tex].
2. Moving the decimal point 6 places to the right:

[tex]\( 8.0007 \)[/tex]
- Move 1 place: [tex]\( 80.007 \)[/tex]
- Move 2 places: [tex]\( 800.07 \)[/tex]
- Move 3 places: [tex]\( 8000.7 \)[/tex]
- Move 4 places: [tex]\( 80007 \)[/tex]
- Move 5 places: [tex]\( 800070 \)[/tex]
- Move 6 places: [tex]\( 8000700 \)[/tex]

So, [tex]\(8.0007 \cdot 10^6\)[/tex] in standard notation is [tex]\(8,000,700\)[/tex].

Thus, the correct answer is:

B. [tex]\(8,000,700\)[/tex]