Convert gauge to tenth meter

Learn how to convert 1 gauge to tenth meter step by step.

Calculation Breakdown

Set up the equation

1.0 (g a u g e) = x (t e n t h m e t e r)

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

(m e t e r)

Left side: 1.0 (g a u g e) = 1.435 (m e t e r) = 1.435 (m)

Right side: 1.0 (t e n t h m e t e r) = 10^{- 10} (m e t e r) = 10^{- 10} (m)

Insert known values into the conversion equation to determine

x

1.0 (g a u g e) = x (t e n t h m e t e r)

Insert known values =>

1.0 \times 1.435 \times (m e t e r) = x \times 10^{- 10} \times (m e t e r)

Or

1.0 \cdot 1.435 \cdot (m) = x \cdot 10^{- 10} \cdot (m)

Cancel SI units

1.0 \times 1.435 \cdot (m) = x \times 10^{- 10} \times (m)

Conversion Equation

1.435 = x \times 10^{- 10}

Switch sides

x \times 10^{- 10} = 1.435

Isolate

x

Multiply both sides by

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

x \times 10^{- 10} \times \frac{1.0}{10^{- 10}} = 1.435 \times \frac{1.0}{10^{- 10}}

Cancel

x \times 10^{- 10} \times \frac{1.0}{10^{- 10}} = 1.435 \times \frac{1.0}{10^{- 10}}

Simplify

x = \frac{1.435}{10^{- 10}}

Rewrite equation

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

Rewrite

x = 10^{10} \times 1.435

Solve

x

x = 14350000000 = 1.435 \times 10^{10}

Conversion Equation

1.0 (g a u g e) = 1.435 \times 10^{10} (t e n t h m e t e r)

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