Convert ton to carat

Learn how to convert 1 ton to carat step by step.

Calculation Breakdown

Set up the equation

1.0 (t o n) = x (c a r a t)

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

(k i l o g r a m)

Left side: 1.0 (t o n) = 10^{3} (k i l o g r a m) = 10^{3} (k g)

Right side: 1.0 (c a r a t) = 2.0 \times 10^{- 4} (k i l o g r a m) = 2.0 \times 10^{- 4} (k g)

Insert known values into the conversion equation to determine

x

1.0 (t o n) = x (c a r a t)

Insert known values =>

1.0 \times 10^{3} \times (k i l o g r a m) = x \times 2.0 \times 10^{- 4} \times (k i l o g r a m)

Or

1.0 \cdot 10^{3} \cdot (k g) = x \cdot 2.0 \times 10^{- 4} \cdot (k g)

Cancel SI units

1.0 \times 10^{3} \cdot (k g) = x \times 2.0 \times 10^{- 4} \times (k g)

Conversion Equation

10^{3} = x \times 2.0 \times 10^{- 4}

Switch sides

x \times 2.0 \times 10^{- 4} = 10^{3}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.0 \times 10^{- 4}})

x \times 2.0 \times 10^{- 4} \times \frac{1.0}{2.0 \times 10^{- 4}} = 10^{3} \times \frac{1.0}{2.0 \times 10^{- 4}}

Cancel

x \times 2.0 \times 10^{- 4} \times \frac{1.0}{2.0 \times 10^{- 4}} = 10^{3} \times \frac{1.0}{2.0 \times 10^{- 4}}

Simplify

x = \frac{10^{3}}{2.0 \times 10^{- 4}}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = \frac{10^{4} \times 10^{3}}{2.0}

Simplify

x = \frac{10^{7}}{2.0}

Solve

x

x = 5000000 = 5 \times 10^{6}

Conversion Equation

1.0 (t o n) = 5 \times 10^{6} (c a r a t)

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