Math

QuestionFill in the missing prefix or exponent for these pressure conversions:
1μPa=10Pa1 \mu \mathrm{Pa} = 10^{\square} \mathrm{Pa}, 1Pa=109Pa1 \square \mathrm{Pa} = 10^{-9} \mathrm{Pa}, 1kPa=10Pa1 \mathrm{k} \mathrm{Pa} = 10^{\square} \mathrm{Pa}, 1Pa=106Pa1 \square \mathrm{Pa} = 10^{6} \mathrm{Pa}.

Studdy Solution

STEP 1

Assumptions1. The prefixes used in the table are standard SI prefixes.. The prefixes are as follows micro (μ) represents 10610^{-6}, nano (n) represents 10910^{-9}, kilo (k) represents 10310^{3}, and mega (M) represents 10610^{6}.

STEP 2

For the first row, we need to find the exponent that corresponds to the prefix micro (μ). From our assumptions, we know that micro (μ) represents 10610^{-6}.
1μPa=106Pa1 \mu \mathrm{Pa} =10^{-6} \mathrm{Pa}

STEP 3

For the second row, we need to find the prefix that corresponds to the exponent 10910^{-9}. From our assumptions, we know that 10910^{-9} corresponds to the prefix nano (n).
1nPa=109Pa1 \mathrm{nPa} =10^{-9} \mathrm{Pa}

STEP 4

For the third row, we need to find the exponent that corresponds to the prefix kilo (k). From our assumptions, we know that kilo (k) represents 10310^{3}.
1kPa=103Pa1 \mathrm{kPa} =10^{3} \mathrm{Pa}

STEP 5

For the fourth row, we need to find the prefix that corresponds to the exponent 1010^{}. From our assumptions, we know that 1010^{} corresponds to the prefix mega (M).
1MPa=10Pa1 \mathrm{MPa} =10^{} \mathrm{Pa}So, the completed table is\begin{tabular}{|l|l|} \hline 1μPa1 \mu \mathrm{Pa} & =10Pa=10^{-} \mathrm{Pa} \\ 1nPa1 \mathrm{nPa} & =109Pa=10^{-9} \mathrm{Pa} \\ 1kPa1 \mathrm{kPa} & =103Pa=10^{3} \mathrm{Pa} \\ 1MPa1 \mathrm{MPa} & =10Pa=10^{} \mathrm{Pa} \\ \hline\end{tabular}

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