Question

A student sets up the following equation to convert a measurement.
(The stands for a number the student is going to calculate.)

Fill in the missing part of this equation.

Answer 1

Answer:

–0.13 Pa.m²

Explanation:

From the question given above, the following data were obtained:

Measurement (Pa.mm²) = –1.3×10⁵ Pa.mm²

Measurement (Pa.m²) =?

We can convert from Pa.mm² to Pa.m² by doing the following:

1 Pa.mm² = 1×10¯⁶ Pa.m²

Therefore,

–1.3×10⁵ Pa.mm² = –1.3×10⁵ Pa.mm² × 1×10¯⁶ Pa.m² / 1 Pa.mm²

–1.3×10⁵ Pa.mm² = –0.13 Pa.m²

Thus, –1.3×10⁵ Pa.mm² is equivalent to –0.13 Pa.m².

Answer 2

The complete equation will be:

$(-1.3\times 10^5 Pa.mm^2)\times 10^{-6}=(-0.13) Pa.m^2$

Explanation:

Given:

The equation to convert a measurement:

$(-1.3\times 10^5 Pa.mm^2)\times ? = ? Pa.m^2$

To find:

The missing part of the equation.

Solution:

$(-1.3\times 10^5 Pa.mm^2)\times ? = ? Pa.m^2$

On LHS the unit is in $Pa. mm^2$ and RHS the unit is in $Pa.m^2$ which means that we have to convert $mm^2$ to $m^2$

In 1 millimeter there are 0.001 meters.

$1 mm = 0.001 m\\1 mm^2=0.000001 m^2=10^{-6} m^2$

So, the complete equation will be:

$(-1.3\times 10^5 Pa.mm^2)\times 10^{-6}=(-0.13) Pa.m^2$

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