For example: The absolute value of \(\dfrac {-3}{4}\) is represented as \(\left | {\dfrac {-3}{4}}\right|\) which is \(\dfrac {3}{4}\).
A \(\dfrac {3}{7}\)
B \(\dfrac {-3}{7}\)
C \(\dfrac {7}{3}\)
D \(\dfrac {3}{-7}\)
\(2,\;\dfrac {3}{5}\) and \(0.25\) are rational numbers. Check whether the statement is true or not?
\(2\) is an integer. It can be written in the form of \(\dfrac {p}{q}\) by putting it over \(1\).
So, \(2=\dfrac {2}{1}\)
Thus, \(2\) is a rational number.
\(0.25=\dfrac {25}{100}=\dfrac {1}{4}\)
So, \(0.25\) is a rational number.
Note: All perfect square roots are rational numbers.
Example: \(\sqrt 4,\;\sqrt {16},\;\sqrt 9,\;\sqrt {25}.......\)
A \(-2\)
B \(\sqrt 3\)
C \(0.4\)
D \(\dfrac {-3}{7}\)
For example:
Hence, the above number line represents \(-1.20\)
A \(-1.75\)
B \(-0.75\)
C \(-0.80\)
D \(-1.80\)
For example: Represent \(\dfrac {4}{5}\) on the number line.
Step 1: Define the interval \(0\) to \( 1\).
Step 2: Divide the interval into \(5\) equal parts.
Step 3: Size of each part is \(\dfrac {1}{5}\).
Step 4: Thus, \(\dfrac {4}{5}\) represents the combined length of \(4\) parts.
Step 5: The resulting number line representation is
A \(\dfrac {-1}{2}\)
B \(\dfrac {1}{2}\)
C \(\dfrac {-1}{4}\)
D \(\dfrac {1}{4}\)
For example: Represent \(2\dfrac {3}{4}\) on the number line.
In the rational number \(2\dfrac {3}{4}\), \(2\) is the whole and \(\dfrac {3}{4}\) is the fraction.
Step 1: Find the whole number, i.e. \(2 \).
Step 2: Divide the interval between \(2\) and \(3\) into \(4\) equal parts.
Step 3: The size of each part is \(\dfrac {1}{4}\).
Step 4: Thus, \(2\dfrac {3}{4}\) represents the combined length of \(3\) parts.
Step 5: The resulting number line representation is
A \(-4\dfrac {1}{3}\)
B \(-3\dfrac {1}{3}\)
C \(-4\dfrac {2}{3}\)
D \(-3\dfrac {2}{3}\)