Convert digit to light-year

Learn how to convert 1 digit to light-year step by step.

Calculation Breakdown

Set up the equation

1.0 (d i g i t) = x (l i g h t - y e a r)

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

(m e t e r)

Left side: 1.0 (d i g i t) = 1.9 \times 10^{- 2} (m e t e r) = 1.9 \times 10^{- 2} (m)

Right side: 1.0 (l i g h t - y e a r) = 9.4607304725808 \times 10^{15} (m e t e r) = 9.4607304725808 \times 10^{15} (m)

Insert known values into the conversion equation to determine

x

1.0 (d i g i t) = x (l i g h t - y e a r)

Insert known values =>

1.0 \times 1.9 \times 10^{- 2} \times (m e t e r) = x \times 9.4607304725808 \times 10^{15} \times (m e t e r)

Or

1.0 \cdot 1.9 \times 10^{- 2} \cdot (m) = x \cdot 9.4607304725808 \times 10^{15} \cdot (m)

Cancel SI units

1.0 \times 1.9 \times 10^{- 2} \cdot (m) = x \times 9.4607304725808 \times 10^{15} \times (m)

Conversion Equation

1.9 \times 10^{- 2} = x \times 9.4607304725808 \times 10^{15}

Switch sides

x \times 9.4607304725808 \times 10^{15} = 1.9 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{9.4607304725808 \times 10^{15}})

x \times 9.4607304725808 \times 10^{15} \times \frac{1.0}{9.4607304725808 \times 10^{15}} = 1.9 \times 10^{- 2} \times \frac{1.0}{9.4607304725808 \times 10^{15}}

Cancel

x \times 9.4607304725808 \times 10^{15} \times \frac{1.0}{9.4607304725808 \times 10^{15}} = 1.9 \times 10^{- 2} \times \frac{1.0}{9.4607304725808 \times 10^{15}}

Simplify

x = \frac{1.9 \times 10^{- 2}}{9.4607304725808 \times 10^{15}}

Rewrite equation

\frac{1.0}{10^{15}} can be rewritten to 10^{- 15}

Rewrite

x = \frac{10^{- 15} \times 1.9 \times 10^{- 2}}{9.4607304725808}

Simplify

x = \frac{10^{- 17} \times 1.9}{9.4607304725808}

Solve

x

x \approx 2.0083015846 \times 10^{- 18} \approx 2.0083 \times 10^{- 18}

Conversion Equation

1.0 (d i g i t) \approx 2.0083 \times 10^{- 18} (l i g h t - y e a r)

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