Represent the following rational numbers on the number line:
(i) -3 upon 11
Answers
Step-by-step explanation:
: Plot between 0 and - 1
: Count 11 divisions between 0 and - 1
: Plot - 3 on the 3rd division
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Answer:
Step-by-step explanation: shows the intervals between two integers which will help us to increase the basic concept on formation of fractional numbers. 1. Represent the fractions: 2/5, 11/5, -8/5 and -3/5 on a number line. Since, the denominator of each given fraction is 5; divide the space between every pair of two consecutive integers (on the number line) in 5 equal parts. Each part so obtained will represent the fraction 1/5 and the number line obtained will be of the form:  To mark 2/5; move two parts on the right-side of zero. To mark 11/5; move eleven parts on the right-side of zero. To mark -8/5; move eight parts on the left-side of zero. To mark -3/5; move three parts on the left-side of zero. The following diagram shows markings of fractions 2/5, 11/5, -8/5 and -3/5 on a number line.  2. Represent the following fractions: 1/4, 7/4, -3/4 and -9/4 on a number line. Since, the denominator of each given fraction is 4; divide the space between every pairs of two consecutive integers (on the number line) in 4 equal parts. Each part so obtained will represent the fraction 1/4 and the number line obtained will be of the form:  To mark 1/4; move one part on the right-side of zero. To mark 7/4; move seven parts on the right-side of zero. To mark -3/4; move three parts on the left-side of zero. To mark -9/4; move nine parts on the left-side of zero. The following diagram shows markings of fractions 1/4, 7/4, -3/4 and -9/4 on a number line.  3. Draw a number line to represent fractions: 3/8, 5/8, -1 3/8, -7/8 Since, the denominator of each given fraction is 8; divide the space between every pairs of two consecutive integers (on the number line) in 8 equal parts. Each part so obtained will represent the fraction 1/8 and the number line obtained will be of the form:  To mark 3/8; move three parts on the right-side of zero. To mark 5/8; move five parts on the right-side of zero. To mark -1 3/8 i.e. -11/8; move eleven parts on the left-side of zero. To mark -7/8; move seven parts on the left-side of zero. The following diagram shows markings of fractions 3/8, 5/8, -1 3/8, -7/8 on a number line.