Convert dog watch to jiffy

Learn how to convert 1 dog watch to jiffy step by step.

Calculation Breakdown

Set up the equation

1.0 (d o g w a t c h) = x (j i f f y)

Define the base values of the selected units in relation to the SI unit

(s e c o n d)

Left side: 1.0 (d o g w a t c h) = 7.2 \times 10^{3} (s e c o n d) = 7.2 \times 10^{3} (s)

Right side: 1.0 (j i f f y) = 10^{- 2} (s e c o n d) = 10^{- 2} (s)

Insert known values into the conversion equation to determine

x

1.0 (d o g w a t c h) = x (j i f f y)

Insert known values =>

1.0 \times 7.2 \times 10^{3} \times (s e c o n d) = x \times 10^{- 2} \times (s e c o n d)

Or

1.0 \cdot 7.2 \times 10^{3} \cdot (s) = x \cdot 10^{- 2} \cdot (s)

Cancel SI units

1.0 \times 7.2 \times 10^{3} \cdot (s) = x \times 10^{- 2} \times (s)

Conversion Equation

7.2 \times 10^{3} = x \times 10^{- 2}

Switch sides

x \times 10^{- 2} = 7.2 \times 10^{3}

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 2}})

x \times 10^{- 2} \times \frac{1.0}{10^{- 2}} = 7.2 \times 10^{3} \times \frac{1.0}{10^{- 2}}

Cancel

x \times 10^{- 2} \times \frac{1.0}{10^{- 2}} = 7.2 \times 10^{3} \times \frac{1.0}{10^{- 2}}

Simplify

x = \frac{7.2 \times 10^{3}}{10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = 10^{2} \times 7.2 \times 10^{3}

Simplify

x = 10^{5} \times 7.2

Solve

x

x = 720000 = 7.2 \times 10^{5}

Conversion Equation

1.0 (d o g w a t c h) = 7.2 \times 10^{5} (j i f f y)

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