Find the values of -8-4- -8-4 and 8-4 what do you notice- Is this true for -a-b-a-b and a-b when a and b are integers- Explain-

Division of intergers: 8/4= 20ex0ex 8/4= 20ex0ex8/ 4= 2After finding the values 8/4, 8/4 and 8/ 4 we found out that all of these fractions are equal to 2. F ...

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Standard VIII

Mathematics

Fractional part function

Find the valu...

Question

Find the values of $- \frac{8}{4}, \frac{- 8}{4}$ and $\frac{8}{- 4}$ what do you notice? Is this true for $- \frac{a}{b} \frac{- a}{b}$ and $\frac{a}{- b}$ when $a$ and $b$ are integers? Explain.

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Solution

Division of intergers:
$- \frac{8}{4} = - 2 \frac{- 8}{4} = - 2 \frac{8}{- 4} = - 2$
After finding the values $- \frac{8}{4}, \frac{- 8}{4}$ and $\frac{8}{- 4}$ we found out that all of these fractions are equal to $- 2$ .
From the above example we can say that this is true for $- \frac{a}{b} = \frac{- a}{b} = \frac{a}{- b}$ when $a$ and $b$ are integers.
Hence,the value of $- \frac{8}{4}, \frac{- 8}{4}$ and $\frac{8}{- 4}$ is $- 2$ and from this example we can conclude that $- \frac{a}{b} = \frac{- a}{b} = \frac{a}{- b}$ when $a$ and $b$ are integers.

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Find the values of -84,-84 and 8-4 what do you notice? Is this true for -ab-ab and a-b when a and b are integers? Explain.

Find the values of $- \frac{8}{4}, \frac{- 8}{4}$ and $\frac{8}{- 4}$ what do you notice? Is this true for $- \frac{a}{b} \frac{- a}{b}$ and $\frac{a}{- b}$ when $a$ and $b$ are integers? Explain.