Represent each of the following numbers on the number line: 1/3, 2/7, 1 3/4, 2 2/5, 3 1/2, 5 5/7, 4 2/3, 8.

Mathematics
Represent each of the following numbers on the number line: 1/3, 2/7, 1 3/4, 2 2/5, 3 1/2, 5 5/7, 4 2/3, 8.

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Answer

Mark 13 on the number line between 0 and 1, dividing the segment into 3 equal parts.\text{Mark } \frac{1}{3} \text{ on the number line between 0 and 1, dividing the segment into 3 equal parts.}

To represent a number on a number line, first determine which two integers it lies between. Then, divide the segment between those integers into equal parts based on the denominator of the fractional part.

a) (i) 13\frac{1}{3} Step 1: Draw a number line and mark integers 0 and 1. Step 2: Divide the segment between 0 and 1 into 3 equal parts. Step 3: The first mark from 0 represents 13\frac{1}{3}. Mark13onthenumberlinebetween0and1,dividingthesegmentinto3equalparts.\boxed{Mark \frac{1}{3} on the number line between 0 and 1, dividing the segment into 3 equal parts.}

b) (ii) 27\frac{2}{7} Step 1: Draw a number line and mark integers 0 and 1. Step 2: Divide the segment between 0 and 1 into 7 equal parts. Step 3: The second mark from 0 represents 27\frac{2}{7}. Mark27onthenumberlinebetween0and1,dividingthesegmentinto7equalparts.\boxed{Mark \frac{2}{7} on the number line between 0 and 1, dividing the segment into 7 equal parts.}

c) (iii) 1341\frac{3}{4} Step 1: Draw a number line and mark integers 1 and 2. Step 2: Divide the segment between 1 and 2 into 4 equal parts. Step 3: The third mark from 1 represents 1341\frac{3}{4}. Mark134onthenumberlinebetween1and2,dividingthesegmentinto4equalparts.\boxed{Mark 1\frac{3}{4} on the number line between 1 and 2, dividing the segment into 4 equal parts.}

d) (iv) 2252\frac{2}{5} Step 1: Draw a number line and mark integers 2 and 3. Step 2: Divide the segment between 2 and 3 into 5 equal parts. Step 3: The second mark from 2 represents 2252\frac{2}{5}. Mark225onthenumberlinebetween2and3,dividingthesegmentinto5equalparts.\boxed{Mark 2\frac{2}{5} on the number line between 2 and 3, dividing the segment into 5 equal parts.}

e) (v) 3123\frac{1}{2} Step 1: Draw a number line and mark integers 3 and 4. Step 2: Divide the segment between 3 and 4 into 2 equal parts. Step 3: The first mark from 3 represents 3123\frac{1}{2}. Mark312onthenumberlinebetween3and4,dividingthesegmentinto2equalparts.\boxed{Mark 3\frac{1}{2} on the number line between 3 and 4, dividing the segment into 2 equal parts.}

f) (vi) 5575\frac{5}{7} Step 1: Draw a number line and mark integers 5 and 6. Step 2: Divide the segment between 5 and 6 into 7 equal parts. Step 3: The fifth mark from 5 represents 5575\frac{5}{7}. Mark557onthenumberlinebetween5and6,dividingthesegmentinto7equalparts.\boxed{Mark 5\frac{5}{7} on the number line between 5 and 6, dividing the segment into 7 equal parts.}

g) (vii) 4234\frac{2}{3} Step 1: Draw a number line and mark integers 4 and 5. Step 2: Divide the segment between 4 and 5 into 3 equal parts. Step 3: The second mark from 4 represents 4234\frac{2}{3}. Mark423onthenumberlinebetween4and5,dividingthesegmentinto3equalparts.\boxed{Mark 4\frac{2}{3} on the number line between 4 and 5, dividing the segment into 3 equal parts.}

h) (viii) 88 Step 1: Draw a number line. Step 2: Mark the integer 8 directly on the number line. Markthepointcorrespondingto8onthenumberline.\boxed{Mark the point corresponding to 8 on the number line.}

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To represent a number on a number line, first determine which two integers it lies between.

Represent each of the following numbers on the number line: 1/3, 2/7, 1 3/4, 2 2/5, 3 1/2, 5 5/7, 4 2/3, 8.
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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To represent a number on a number line, first determine which two integers it lies between. Then, divide the segment between those integers into equal parts based on the denominator of the fractional part. a) (i) (1)/(3) Step 1: Draw a number line and mark integers 0 and 1. Step 2: Divide the segment between 0 and 1 into 3 equal parts. Step 3: The first mark from 0 represents (1)/(3). Mark (1)/(3) on the number line between 0 and 1, dividing the segment into 3 equal parts. b) (ii) (2)/(7) Step 1: Draw a number line and mark integers 0 and 1. Step 2: Divide the segment between 0 and 1 into 7 equal parts. Step 3: The second mark from 0 represents (2)/(7). Mark (2)/(7) on the number line between 0 and 1, dividing the segment into 7 equal parts. c) (iii) 1(3)/(4) Step 1: Draw a number line and mark integers 1 and 2. Step 2: Divide the segment between 1 and 2 into 4 equal parts. Step 3: The third mark from 1 represents 1(3)/(4). Mark 1(3)/(4) on the number line between 1 and 2, dividing the segment into 4 equal parts. d) (iv) 2(2)/(5) Step 1: Draw a number line and mark integers 2 and 3. Step 2: Divide the segment between 2 and 3 into 5 equal parts. Step 3: The second mark from 2 represents 2(2)/(5). Mark 2(2)/(5) on the number line between 2 and 3, dividing the segment into 5 equal parts. e) (v) 3(1)/(2) Step 1: Draw a number line and mark integers 3 and 4. Step 2: Divide the segment between 3 and 4 into 2 equal parts. Step 3: The first mark from 3 represents 3(1)/(2). Mark 3(1)/(2) on the number line between 3 and 4, dividing the segment into 2 equal parts. f) (vi) 5(5)/(7) Step 1: Draw a number line and mark integers 5 and 6. Step 2: Divide the segment between 5 and 6 into 7 equal parts. Step 3: The fifth mark from 5 represents 5(5)/(7). Mark 5(5)/(7) on the number line between 5 and 6, dividing the segment into 7 equal parts. g) (vii) 4(2)/(3) Step 1: Draw a number line and mark integers 4 and 5. Step 2: Divide the segment between 4 and 5 into 3 equal parts. Step 3: The second mark from 4 represents 4(2)/(3). Mark 4(2)/(3) on the number line between 4 and 5, dividing the segment into 3 equal parts. h) (viii) 8 Step 1: Draw a number line. Step 2: Mark the integer 8 directly on the number line. Mark the point corresponding to 8 on the number line.