Verify: 3/4 + 7/8 = 7/8 + 3/4. Also Name the property.
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Answers
Answer:
Hey friend,
Here is the answer you were looking for:
\begin{gathered} - \frac{3}{4} + \frac{7}{ - 8} = \frac{7}{ - 8} + ( - \frac{3}{4} ) \\ \\ - \frac{3}{4} + ( - \frac{7}{8} ) = - \frac{7}{8} - \frac{3}{4} \\ \\ - \frac{3}{4} - \frac{7}{8} = - \frac{7}{8} - \frac{3}{4} \\ \\ \frac{ - 3 \times 2 - 7 \times 1}{8} = \frac{ - 7 \times 1 - 3 \times 2}{8} \\ \\ \frac{ - 6 - 7}{8} = \frac{ - 7 - 6}{8} \\ \\ = \frac{ - 13}{8} = \frac{ - 13}{8} \end{gathered}
−
4
3
+
−8
7
=
−8
7
+(−
4
3
)
−
4
3
+(−
8
7
)=−
8
7
−
4
3
−
4
3
−
8
7
=−
8
7
−
4
3
8
−3×2−7×1
=
8
−7×1−3×2
8
−6−7
=
8
−7−6
=
8
−13
=
8
−13
Hence verified...
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Answer:
L.H.S. = 3/4 + 7/8 = (6+7) / 8 = 13/8
R.H.S. = 7/8 + 3/4 = (7+6) / 8 = 13/8
L.H.S. = R.H.S.
The property used here is commutative property of addition for rational numbers.