Basic Math Examples

$(\frac{1.76}{3.11}) (\frac{10^{12}}{10^{7}})$

Step 1

Combine.

$\frac{1.76 \cdot 10^{12}}{3.11 \cdot 10^{7}}$

Step 2

Divide using scientific notation.

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Step 2.1

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

$(\frac{1.76}{3.11}) (\frac{10^{12}}{10^{7}})$

Step 2.2

Divide $1.76$ by $3.11$ .

$0.56591639 \frac{10^{12}}{10^{7}}$

Step 2.3

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$0.56591639 \cdot 10^{12 + 7 \cdot - 1}$

Step 2.4

Multiply $7$ by $- 1$ .

$0.56591639 \cdot 10^{12 - 7}$

Step 2.5

Subtract $7$ from $12$ .

$0.56591639 \cdot 10^{5}$

Step 3

Move the decimal point in $0.56591639$ to the right by $1$ place and decrease the power of $10^{5}$ by $1$ .

$5.65916398 \cdot 10^{4}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$5.65916398 \cdot 10^{4}$

Expanded Form:

$56591.63987138$