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Enrique is finding 6.63 x 10^-6/5.1 x 10^-2. Circle his mistake and correct it.

Enrique is finding 6.63 x 10^-6/5.1 x 10^-2. Circle his mistake and correct it.-example-1
User Didymos
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1 Answer

2 votes

Answer:

Enrique's mistake is
(6.63* 10^(-6))/(5.1* 10^(-2))
=1.3* (10^(-6).10^(-2))

The corrected step is
(6.63* 10^(-6))/(5.1* 10^(-2))
=1.3* (10^(-6).10^2)

The simplified given expression is
1.3* 10^(-4)

Therefore
(6.63* 10^(-6))/(5.1* 10^(-2))=1.3* 10^(-4)

Explanation:

Given expression is
(6.63* 10^(-6))/(5.1* 10^(-2))

To find Enrique's mistake and circle his mistake :


(6.63* 10^(-6))/(5.1* 10^(-2))


=((6.63)/(5.1))((10^(-6))/(10^(-2)))


=1.3* (10^(-6).10^2) ( using the property
a^m=(1)/(a^(-m)) )


=1.3* 10^(-6+2) ( using the property
a^m.a^n=a^(m+n) )


=1.3* 10^(-4)


(6.63* 10^(-6))/(5.1* 10^(-2))=1.3* 10^(-4)

Therefore the simplified given expression is
1.3* 10^(-4)

Therefore
(6.63* 10^(-6))/(5.1* 10^(-2))=1.3* 10^(-4)

Enrique's mistake is
(6.63* 10^(-6))/(5.1* 10^(-2))
=1.3* (10^(-6).10^(-2))

The corrected step is
(6.63* 10^(-6))/(5.1* 10^(-2))
=1.3* (10^(-6).10^2)

User Manny D
by
7.7k points