Algebra Examples

$((1.7 \times 10^{6}) \div (2.63 \times 10^{5})) + 3$

Step 1

Divide using scientific notation.

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Step 1.1

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

$(\frac{1.7}{2.63}) (\frac{10^{6}}{10^{5}}) + 3$

Step 1.2

Divide $1.7$ by $2.63$ .

$0.64638783 \frac{10^{6}}{10^{5}} + 3$

Step 1.3

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

$0.64638783 \cdot 10^{6 + 5 \cdot - 1} + 3$

Step 1.4

Multiply $5$ by $- 1$ .

$0.64638783 \cdot 10^{6 - 5} + 3$

Step 1.5

Subtract $5$ from $6$ .

$0.64638783 \cdot 10^{1} + 3$

Step 2

Convert $3$ to scientific notation.

$0.64638783 \cdot 10^{1} + 3 \cdot 10^{0}$

Step 3

Move the decimal point in $3$ to the left by $1$ place and increase the power of $10^{0}$ by $1$ .

$0.64638783 \cdot 10^{1} + 0.3 \cdot 10^{1}$

Step 4

Factor $10^{1}$ out of $0.64638783 \cdot 10^{1} + 0.3 \cdot 10^{1}$ .

$(0.64638783 + 0.3) \cdot 10^{1}$

Step 5

Add $0.64638783$ and $0.3$ .

$0.94638783 \cdot 10^{1}$

Step 6

Move the decimal point in $0.94638783$ to the right by $1$ place and decrease the power of $10^{1}$ by $1$ .

$9.46387832 \cdot 10^{0}$

Step 7

Convert $9.46387832 \cdot 10^{0}$ from scientific notation.

$9.46387832$