Math, asked by s6160tanya, 1 month ago

represent on number line -3 8/5

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Answered by Anirban26
11

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Answered by VivaciousDork
44

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The above mentioned mixed fraction needs to be converted into improper fraction and then donate the number on the number line

Hence converting into improper fraction we get -7/5

Rational numbers can be depicted on the number line. The centre of the number line is called Origin (O). Positive rational numbers are illustrated on the right side of zero (called origin), and negative on left side of origin. The representation of rational numbers on the number line depends on the type of fraction.

In order to represent -3 ^ 8/5 on the number line, we first draw a number line and mark a point O on it to represent zero.

Now we find the points X and X' on the number line representing the positive integers 5 and -5 respectively as shown in the below figure.

Now divide the segment OX into three equal parts. Let A and B be the points of division so that OA = AB = BX. By construction, OA is one-third of OX.

Therefore, A represents the rational number.

Point X' represents -3 on the number line. Now, divide OX' into three equal parts OA', CB' and B'X'. The point A' is such that OA' is one third of OX'. Since X' represents the number

Therefore, A' represents the rational number - 7/5.

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