Pre-Algebra Examples

$\frac{9.13 \cdot 10^{7}}{(\frac{4}{3}) (3.1416) (1.49 \cdot 10^{2})}$

Step 1

Cancel the common factor of $10^{7}$ and $10^{2}$ .

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Step 1.1

Factor $10^{2}$ out of $9.13 \cdot 10^{7}$ .

$\frac{10^{2} \cdot 9.13 \cdot 10^{5}}{(\frac{4}{3}) (3.1416) (1.49 \cdot 10^{2})}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $10^{2}$ out of $(\frac{4}{3}) (3.1416) (1.49 \cdot 10^{2})$ .

$\frac{10^{2} \cdot 9.13 \cdot 10^{5}}{10^{2} ((\frac{4}{3}) (3.1416) \cdot (1.49))}$

Step 1.2.2

Cancel the common factor.

$\frac{10^{2} \cdot 9.13 \cdot 10^{5}}{10^{2} ((\frac{4}{3}) (3.1416) \cdot (1.49))}$

Step 1.2.3

Rewrite the expression.

$\frac{9.13 \cdot 10^{5}}{(\frac{4}{3}) (3.1416) \cdot (1.49)}$

Step 2

Simplify the denominator.

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Step 2.1

Combine $\frac{4}{3}$ and $3.1416$ .

$\frac{9.13 \cdot 10^{5}}{\frac{4 \cdot 3.1416}{3} \cdot 1.49}$

Step 2.2

Combine $\frac{4 \cdot 3.1416}{3}$ and $1.49$ .

$\frac{9.13 \cdot 10^{5}}{\frac{4 \cdot 3.1416 \cdot 1.49}{3}}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply $4$ by $3.1416$ .

$\frac{9.13 \cdot 10^{5}}{\frac{12.5664 \cdot 1.49}{3}}$

Step 3.2

Multiply $12.5664$ by $1.49$ .

$\frac{9.13 \cdot 10^{5}}{\frac{18.723936}{3}}$

Step 4

Divide $18.723936$ by $3$ .

$\frac{9.13 \cdot 10^{5}}{6.241312}$

Step 5

Divide using scientific notation.

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Step 5.1

Group coefficients together and exponents together to divide numbers in scientific notation.

$(\frac{9.13}{6.241312}) (\frac{10^{5}}{1})$

Step 5.2

Divide $9.13$ by $6.241312$ .

$1.46283345 \frac{10^{5}}{1}$

Step 5.3

Divide $10^{5}$ by $1$ .

$1.46283345 \cdot 10^{5}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$1.46283345 \cdot 10^{5}$

Expanded Form:

$146283.34555298$