Question

Please I can’t go to sleep unless I finish this

Answer 1

0.000842

Explanation:

`~~(8.42 )/(10^4)\\\\=(8.42 * 10^2)/(10^4 * 10^2)\\\\=(842)/(10^6)\\\\=(842)/(1000000)\\\\=0.000842`

Answer 2

0.000842

Explanation:

Quotient: The result obtained when dividing one quantity by another.

`\textsf{Apply exponent rule} \quad (1)/(a^n)=a^(-n)\quad \textsf{to the denominator}:`

`\implies \sf (8.42)/(10^4) = 8.42 * 10^(-4)`

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