Convert Olympiad to dog watch

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

Calculation Breakdown

Set up the equation

1.0 (O l y m p i a d) = x (d o g w a t c h)

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

(s e c o n d)

Left side: 1.0 (O l y m p i a d) = 1.26144 \times 10^{8} (s e c o n d) = 1.26144 \times 10^{8} (s)

Right 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)

Insert known values into the conversion equation to determine

x

1.0 (O l y m p i a d) = x (d o g w a t c h)

Insert known values =>

1.0 \times 1.26144 \times 10^{8} \times (s e c o n d) = x \times 7.2 \times 10^{3} \times (s e c o n d)

Or

1.0 \cdot 1.26144 \times 10^{8} \cdot (s) = x \cdot 7.2 \times 10^{3} \cdot (s)

Cancel SI units

1.0 \times 1.26144 \times 10^{8} \cdot (s) = x \times 7.2 \times 10^{3} \times (s)

Conversion Equation

1.26144 \times 10^{8} = x \times 7.2 \times 10^{3}

Cancel factors on both sides

Cancel factors

1.26144 \times {10^{8}}^{10^{5}} = x \times 7.2 \times 10^{3}

Simplify

1.26144 \times 10^{5} = x \times 7.2

Switch sides

x \times 7.2 = 1.26144 \times 10^{5}

Isolate

x

Multiply both sides by

(\frac{1.0}{7.2})

x \times 7.2 \times \frac{1.0}{7.2} = 1.26144 \times 10^{5} \times \frac{1.0}{7.2}

Cancel

x \times 7.2 \times \frac{1.0}{7.2} = 1.26144 \times 10^{5} \times \frac{1.0}{7.2}

Simplify

x = \frac{1.26144 \times 10^{5}}{7.2}

Solve

x

x = 17520 = 1.752 \times 10^{4}

Conversion Equation

1.0 (O l y m p i a d) = 1.752 \times 10^{4} (d o g w a t c h)

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