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Question:
On a number line what is the distance between \(\frac{\mathrm{-3} }{\mathrm{7}}\) , \(\frac{\mathrm{-2} }{\mathrm{3}}\)
A
\(\frac{\mathrm{5} }{\mathrm{21}}\)
explanation
The distance between numbers can be found by using absolute values (|a| or abs(a)).
The distance between these numbers is abs
\(=|-(\frac{\mathrm{3} }{\mathrm{7}}-\frac{\mathrm{2} }{\mathrm{3}})|\)
\(=|\frac{\mathrm{3} }{\mathrm{7}}-\frac{\mathrm{2} }{\mathrm{3}}|\)
\(=|\frac{\mathrm{9} }{\mathrm{21}}-\frac{\mathrm{14} }{\mathrm{21}}|= \frac{\mathrm{5} }{\mathrm{21}}\)
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