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.
ScanSolve AI Answer
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.