Basic Math Examples

$o = 10 (1 - 0.5 \cdot 10^{- 3} + 0.5 \cdot 10^{- 6})$

Step 1

Convert $1$ to scientific notation.

$o = 10 (1 \cdot 10^{0} - 0.5 \cdot 10^{- 3} + 0.5 \cdot 10^{- 6})$

Step 2

Move the decimal point in $- 0.5$ to the left by $3$ places and increase the power of $10^{- 3}$ by $3$ .

$o = 10 (1 \cdot 10^{0} - 0.0005 \cdot 10^{0} + 0.5 \cdot 10^{- 6})$

Step 3

Factor $10^{0}$ out of $1 \cdot 10^{0} - 0.0005 \cdot 10^{0}$ .

$o = 10 ((1 - 0.0005) \cdot 10^{0} + 0.5 \cdot 10^{- 6})$

Step 4

Subtract $0.0005$ from $1$ .

$o = 10 (0.9995 \cdot 10^{0} + 0.5 \cdot 10^{- 6})$

Step 5

Move the decimal point in $0.9995$ to the right by $1$ place and decrease the power of $10^{0}$ by $1$ .

$o = 10 (9.995 \cdot 10^{- 1} + 0.5 \cdot 10^{- 6})$

Step 6

Move the decimal point in $0.5$ to the left by $5$ places and increase the power of $10^{- 6}$ by $5$ .

$o = 10 (9.995 \cdot 10^{- 1} + 0.000005 \cdot 10^{- 1})$

Step 7

Factor $10^{- 1}$ out of $9.995 \cdot 10^{- 1} + 0.000005 \cdot 10^{- 1}$ .

$o = 10 ((9.995 + 0.000005) \cdot 10^{- 1})$

Step 8

Simplify the expression.

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Step 8.1

Add $9.995$ and $0.000005$ .

$o = 10 \cdot 9.995005 \cdot 10^{- 1}$

Step 8.2

Multiply $10$ by $9.995005$ .

$o = 99.95005 \cdot 10^{- 1}$

Step 9

Move the decimal point in $99.95005$ to the left by $1$ place and increase the power of $10^{- 1}$ by $1$ .

$o = 9.995005 \cdot 10^{0}$

Step 10

Convert $9.995005 \cdot 10^{0}$ from scientific notation.

$o = 9.995005$