Convert week to dog watch

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

Calculation Breakdown

Set up the equation

1.0 (w e e k) = 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 (w e e k) = 6.048 \times 10^{5} (s e c o n d) = 6.048 \times 10^{5} (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 (w e e k) = x (d o g w a t c h)

Insert known values =>

1.0 \times 6.048 \times 10^{5} \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 6.048 \times 10^{5} \cdot (s) = x \cdot 7.2 \times 10^{3} \cdot (s)

Cancel SI units

1.0 \times 6.048 \times 10^{5} \cdot (s) = x \times 7.2 \times 10^{3} \times (s)

Conversion Equation

6.048 \times 10^{5} = x \times 7.2 \times 10^{3}

Cancel factors on both sides

Cancel factors

6.048 \times {10^{5}}^{10^{2}} = x \times 7.2 \times 10^{3}

Simplify

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

Switch sides

x \times 7.2 = 6.048 \times 10^{2}

Isolate

x

Multiply both sides by

(\frac{1.0}{7.2})

x \times 7.2 \times \frac{1.0}{7.2} = 6.048 \times 10^{2} \times \frac{1.0}{7.2}

Cancel

x \times 7.2 \times \frac{1.0}{7.2} = 6.048 \times 10^{2} \times \frac{1.0}{7.2}

Simplify

x = \frac{6.048 \times 10^{2}}{7.2}

Solve

x

x = 84

Conversion Equation

1.0 (w e e k) = 84 (d o g w a t c h)

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