Convert dog watch to score

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

Calculation Breakdown

Set up the equation

1.0 (d o g w a t c h) = x (s c o r e)

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 (s c o r e) = 6.3072 \times 10^{8} (s e c o n d) = 6.3072 \times 10^{8} (s)

Insert known values into the conversion equation to determine

x

1.0 (d o g w a t c h) = x (s c o r e)

Insert known values =>

1.0 \times 7.2 \times 10^{3} \times (s e c o n d) = x \times 6.3072 \times 10^{8} \times (s e c o n d)

Or

1.0 \cdot 7.2 \times 10^{3} \cdot (s) = x \cdot 6.3072 \times 10^{8} \cdot (s)

Cancel SI units

1.0 \times 7.2 \times 10^{3} \cdot (s) = x \times 6.3072 \times 10^{8} \times (s)

Conversion Equation

7.2 \times 10^{3} = x \times 6.3072 \times 10^{8}

Cancel factors on both sides

Cancel factors

7.2 \times 10^{3} = x \times 6.3072 \times {10^{8}}^{10^{5}}

Simplify

7.2 = x \times 6.3072 \times 10^{5}

Switch sides

x \times 6.3072 \times 10^{5} = 7.2

Isolate

x

Multiply both sides by

(\frac{1.0}{6.3072 \times 10^{5}})

x \times 6.3072 \times 10^{5} \times \frac{1.0}{6.3072 \times 10^{5}} = 7.2 \times \frac{1.0}{6.3072 \times 10^{5}}

Cancel

x \times 6.3072 \times 10^{5} \times \frac{1.0}{6.3072 \times 10^{5}} = 7.2 \times \frac{1.0}{6.3072 \times 10^{5}}

Simplify

x = \frac{7.2}{6.3072 \times 10^{5}}

Rewrite equation

\frac{1.0}{10^{5}} can be rewritten to 10^{- 5}

Rewrite

x = \frac{10^{- 5} \times 7.2}{6.3072}

Solve

x

x \approx 0.0000114155 \approx 1.1416 \times 10^{- 5}

Conversion Equation

1.0 (d o g w a t c h) \approx 1.1416 \times 10^{- 5} (s c o r e)

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