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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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.

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.

Step-by-step solution

Part a· 3 steps

Draw a number line and mark integers 0 and 1.

Divide the segment between 0 and 1 into 3 equal parts.

The first mark from 0 represents $\frac{1}{3}$ .

Part b· 3 steps

Draw a number line and mark integers 0 and 1.

Divide the segment between 0 and 1 into 7 equal parts.

The second mark from 0 represents $\frac{2}{7}$ .

Part c· 3 steps

Draw a number line and mark integers 1 and 2.

Divide the segment between 1 and 2 into 4 equal parts.

The third mark from 1 represents $1\frac{3}{4}$ .

Part d· 3 steps

Draw a number line and mark integers 2 and 3.

Divide the segment between 2 and 3 into 5 equal parts.

The second mark from 2 represents $2\frac{2}{5}$ .

Part e· 3 steps

Draw a number line and mark integers 3 and 4.

Divide the segment between 3 and 4 into 2 equal parts.

The first mark from 3 represents $3\frac{1}{2}$ .

Part f· 3 steps

Draw a number line and mark integers 5 and 6.

Divide the segment between 5 and 6 into 7 equal parts.

The fifth mark from 5 represents $5\frac{5}{7}$ .

Part g· 3 steps

Draw a number line and mark integers 4 and 5.

Divide the segment between 4 and 5 into 3 equal parts.

The second mark from 4 represents $4\frac{2}{3}$ .

Part h· 2 steps

Draw a number line.

Mark the integer 8 directly on the number line.

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More Mathematics Questions

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.

Step-by-step solution

Part a· 3 steps

Draw a number line and mark integers 0 and 1.

Divide the segment between 0 and 1 into 3 equal parts.

The first mark from 0 represents 13\frac{1}{3}31​.

Part b· 3 steps

Draw a number line and mark integers 0 and 1.

Divide the segment between 0 and 1 into 7 equal parts.

The second mark from 0 represents 27\frac{2}{7}72​.

Part c· 3 steps

Draw a number line and mark integers 1 and 2.

Divide the segment between 1 and 2 into 4 equal parts.

The third mark from 1 represents 1341\frac{3}{4}143​.

Part d· 3 steps

Draw a number line and mark integers 2 and 3.

Divide the segment between 2 and 3 into 5 equal parts.

The second mark from 2 represents 2252\frac{2}{5}252​.

Part e· 3 steps

Draw a number line and mark integers 3 and 4.

Divide the segment between 3 and 4 into 2 equal parts.

The first mark from 3 represents 3123\frac{1}{2}321​.

Part f· 3 steps

Draw a number line and mark integers 5 and 6.

Divide the segment between 5 and 6 into 7 equal parts.

The fifth mark from 5 represents 5575\frac{5}{7}575​.

Part g· 3 steps

Draw a number line and mark integers 4 and 5.

Divide the segment between 4 and 5 into 3 equal parts.

The second mark from 4 represents 4234\frac{2}{3}432​.

Part h· 2 steps

Draw a number line.

Mark the integer 8 directly on the number line.

Still stuck on this one?

More Mathematics Questions

The first mark from 0 represents $\frac{1}{3}$ .

The second mark from 0 represents $\frac{2}{7}$ .

The third mark from 1 represents $1\frac{3}{4}$ .

The second mark from 2 represents $2\frac{2}{5}$ .

The first mark from 3 represents $3\frac{1}{2}$ .

The fifth mark from 5 represents $5\frac{5}{7}$ .

The second mark from 4 represents $4\frac{2}{3}$ .