Question

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

Answer 1

Answer:

Enrique's mistake is $\frac{6.63\times 10^{-6}}{5.1\times 10^{-2}}$$=1.3\times (10^{-6}.10^{-2})$

The corrected step is $\frac{6.63\times 10^{-6}}{5.1\times 10^{-2}}$$=1.3\times (10^{-6}.10^2)$

The simplified given expression is $1.3\times 10^{-4}$

Therefore $\frac{6.63\times 10^{-6}}{5.1\times 10^{-2}}=1.3\times 10^{-4}$

Step-by-step explanation:

Given expression is $\frac{6.63\times 10^{-6}}{5.1\times 10^{-2}}$

To find Enrique's mistake and circle his mistake :

$\frac{6.63\times 10^{-6}}{5.1\times 10^{-2}}$

$=(\frac{6.63}{5.1})(\frac{10^{-6}}{10^{-2}})$

$=1.3\times (10^{-6}.10^2)$ ( using the property $a^m=\frac{1}{a^{-m}}$ )

$=1.3\times 10^{-6+2}$ ( using the property $a^m.a^n=a^{m+n}$ )

$=1.3\times 10^{-4}$

$\frac{6.63\times 10^{-6}}{5.1\times 10^{-2}}=1.3\times 10^{-4}$

Therefore the simplified given expression is $1.3\times 10^{-4}$

Therefore $\frac{6.63\times 10^{-6}}{5.1\times 10^{-2}}=1.3\times 10^{-4}$

Enrique's mistake is $\frac{6.63\times 10^{-6}}{5.1\times 10^{-2}}$$=1.3\times (10^{-6}.10^{-2})$

The corrected step is $\frac{6.63\times 10^{-6}}{5.1\times 10^{-2}}$$=1.3\times (10^{-6}.10^2)$