Algebra Examples

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

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

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

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

Step 1.2

Divide

1.7

$1.7$ by

2.63

$2.63$ .

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

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

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

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

Step 1.4

Multiply

5

$5$ by

- 1

$- 1$ .

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

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

Step 1.5

Subtract

5

$5$ from

6

$6$ .

0.64638783 \cdot 10^{1} + 3

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

0.64638783 \cdot 10^{1} + 3

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

Step 2

Convert

3

$3$ to scientific notation.

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

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

Step 3

Move the decimal point in

3

$3$ to the left by

1

$1$ place and increase the power of

10^{0}

$10^{0}$ by

1

$1$ .

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

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

Step 4

Factor

10^{1}

$10^{1}$ out of

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

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

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

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

Step 5

Add

0.64638783

$0.64638783$ and

0.3

$0.3$ .

0.94638783 \cdot 10^{1}

$0.94638783 \cdot 10^{1}$

Step 6

Move the decimal point in

0.94638783

$0.94638783$ to the right by

1

$1$ place and decrease the power of

10^{1}

$10^{1}$ by

1

$1$ .

9.46387832 \cdot 10^{0}

$9.46387832 \cdot 10^{0}$

Step 7

Convert

9.46387832 \cdot 10^{0}

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

9.46387832

$9.46387832$