Basic Math Examples

$- 0.07 \div 25 \cdot 10^{- 6} \div c \cdot (29 m) + 29 c$

Step 1

Simplify each term.

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Step 1.1

Rewrite using the commutative property of multiplication.

$29 - 0.07 \div 25 \cdot 10^{- 6} \div c m + 29 c$

Step 1.2

Rewrite the division as a fraction.

$29 \frac{- 0.07 \div 25 \cdot 10^{- 6}}{c} m + 29 c$

Step 1.3

Move $10^{- 6}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$29 \frac{- 0.07 \div 25}{c \cdot 10^{6}} m + 29 c$

Step 1.4

Multiply the numerator by the reciprocal of the denominator.

$29 (- 0.07 \div 25 \cdot \frac{1}{c \cdot 10^{6}}) m + 29 c$

Step 1.5

Combine.

$29 \frac{- 0.07 \cdot 1}{25 (c \cdot 10^{6})} m + 29 c$

Step 1.6

Multiply $- 0.07$ by $1$ .

$29 \frac{- 0.07}{25 c \cdot 10^{6}} m + 29 c$

Step 1.7

Simplify the denominator.

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Step 1.7.1

Raise $10$ to the power of $6$ .

$29 \frac{- 0.07}{25 c \cdot 1000000} m + 29 c$

Step 1.7.2

Multiply $1000000$ by $25$ .

$29 \frac{- 0.07}{25000000 c} m + 29 c$

Step 1.8

Move the negative in front of the fraction.

$29 (- \frac{0.07}{25000000 c}) m + 29 c$

Step 1.9

Factor $0.07$ out of $0.07$ .

$29 (- \frac{0.07 (1)}{25000000 c}) m + 29 c$

Step 1.10

Factor $25000000$ out of $25000000 c$ .

$29 (- \frac{0.07 (1)}{25000000 (c)}) m + 29 c$

Step 1.11

Separate fractions.

$29 (- (\frac{0.07}{25000000} \cdot \frac{1}{c})) m + 29 c$

Step 1.12

Divide $0.07$ by $25000000$ .

$29 (- (0 \frac{1}{c})) m + 29 c$

Step 1.13

Combine $0$ and $\frac{1}{c}$ .

$29 (- \frac{0}{c}) m + 29 c$

Step 1.14

Multiply $29 (- \frac{0}{c})$ .

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Step 1.14.1

Multiply $- 1$ by $29$ .

$- 29 \frac{0}{c} m + 29 c$

Step 1.14.2

Combine $- 29$ and $\frac{0}{c}$ .

$\frac{- 29 \cdot 0}{c} m + 29 c$

Step 1.14.3

Multiply $- 29$ by $0$ .

$\frac{- 0.00000008}{c} m + 29 c$

Step 1.15

Move the negative in front of the fraction.

$- \frac{0.00000008}{c} m + 29 c$

Step 1.16

Combine $m$ and $\frac{0.00000008}{c}$ .

$- \frac{m \cdot 0.00000008}{c} + 29 c$

Step 1.17

Move $0.00000008$ to the left of $m$ .

$- \frac{0.00000008 m}{c} + 29 c$

Step 2

To write $29 c$ as a fraction with a common denominator, multiply by $\frac{c}{c}$ .

$- \frac{0.00000008 m}{c} + \frac{29 c \cdot c}{c}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 0.00000008 m + 29 c \cdot c}{c}$

Step 4

Simplify the numerator.

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Step 4.1

Factor $0.00000001$ out of $- 0.00000008 m + 29 c \cdot c$ .

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Step 4.1.1

Factor $0.00000001$ out of $- 0.00000008 m$ .

$\frac{0.00000001 (- 7 m) + 29 c \cdot c}{c}$

Step 4.1.2

Factor $0.00000001$ out of $29 c \cdot c$ .

$\frac{0.00000001 (- 7 m) + 0.00000001 (2500000000 c \cdot c)}{c}$

Step 4.1.3

Factor $0.00000001$ out of $0.00000001 (- 7 m) + 0.00000001 (2500000000 c \cdot c)$ .

$\frac{0.00000001 (- 7 m + 2500000000 c \cdot c)}{c}$

Step 4.2

Multiply $c$ by $c$ by adding the exponents.

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Step 4.2.1

Move $c$ .

$\frac{0.00000001 (- 7 m + 2500000000 (c \cdot c))}{c}$

Step 4.2.2

Multiply $c$ by $c$ .

$\frac{0.00000001 (- 7 m + 2500000000 c^{2})}{c}$

Step 5

Simplify with factoring out.

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Step 5.1

Factor $- 1$ out of $- 7 m$ .

$\frac{0.00000001 (- (7 m) + 2500000000 c^{2})}{c}$

Step 5.2

Factor $- 1$ out of $2500000000 c^{2}$ .

$\frac{0.00000001 (- (7 m) - (- 2500000000 c^{2}))}{c}$

Step 5.3

Factor $- 1$ out of $- (7 m) - (- 2500000000 c^{2})$ .

$\frac{0.00000001 (- (7 m - 2500000000 c^{2}))}{c}$

Step 5.4

Simplify the expression.

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Step 5.4.1

Rewrite $- (7 m - 2500000000 c^{2})$ as $- 1 (7 m - 2500000000 c^{2})$ .

$\frac{0.00000001 (- 1 (7 m - 2500000000 c^{2}))}{c}$

Step 5.4.2

Move the negative in front of the fraction.

$- \frac{0.00000001 (7 m - 2500000000 c^{2})}{c}$