Convert tonne to dram

Learn how to convert 1 tonne to dram step by step.

Calculation Breakdown

Set up the equation

1.0 (t o n n e) = x (d r a m)

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 n e) = 10^{3} (k i l o g r a m) = 10^{3} (k g)

Right side: 1.0 (d r a m) = 1.7718451953125 \times 10^{- 3} (k i l o g r a m) = 1.7718451953125 \times 10^{- 3} (k g)

Insert known values into the conversion equation to determine

x

1.0 (t o n n e) = x (d r a m)

Insert known values =>

1.0 \times 10^{3} \times (k i l o g r a m) = x \times 1.7718451953125 \times 10^{- 3} \times (k i l o g r a m)

Or

1.0 \cdot 10^{3} \cdot (k g) = x \cdot 1.7718451953125 \times 10^{- 3} \cdot (k g)

Cancel SI units

1.0 \times 10^{3} \cdot (k g) = x \times 1.7718451953125 \times 10^{- 3} \times (k g)

Conversion Equation

10^{3} = x \times 1.7718451953125 \times 10^{- 3}

Switch sides

x \times 1.7718451953125 \times 10^{- 3} = 10^{3}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.7718451953125 \times 10^{- 3}})

x \times 1.7718451953125 \times 10^{- 3} \times \frac{1.0}{1.7718451953125 \times 10^{- 3}} = 10^{3} \times \frac{1.0}{1.7718451953125 \times 10^{- 3}}

Cancel

x \times 1.7718451953125 \times 10^{- 3} \times \frac{1.0}{1.7718451953125 \times 10^{- 3}} = 10^{3} \times \frac{1.0}{1.7718451953125 \times 10^{- 3}}

Simplify

x = \frac{10^{3}}{1.7718451953125 \times 10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = \frac{10^{3} \times 10^{3}}{1.7718451953125}

Simplify

x = \frac{10^{6}}{1.7718451953125}

Solve

x

x \approx 564383.39119 \approx 5.6438 \times 10^{5}

Conversion Equation

1.0 (t o n n e) \approx 5.6438 \times 10^{5} (d r a m)

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