Please I can’t go to sleep unless I finish this
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Answer:
0.000842
Step-by-step explanation:
[tex]~~\dfrac{8.42 }{10^4}\\\\=\dfrac{8.42 \times 10^2}{10^4 \times 10^2}\\\\=\dfrac{842}{10^6}\\\\=\dfrac{842}{1000000}\\\\=0.000842[/tex]
Answer:
0.000842
Step-by-step explanation:
Quotient: The result obtained when dividing one quantity by another.
[tex]\textsf{Apply exponent rule} \quad \dfrac{1}{a^n}=a^{-n}\quad \textsf{to the denominator}:[/tex]
[tex]\implies \sf \dfrac{8.42}{10^4} = 8.42 \times 10^{-4}[/tex]
When multiplying by 10 to the power of a negative number, simply move the decimal point to the left by the number in the power.
Therefore, move the decimal point to the left by 4 places:
One place: 8.42 ⇒ 0.842
Two places: ⇒ 0.0842
Three places: ⇒ 0.00842
Four places: ⇒ 0.000842