For example: Compare \(-9\) and \(-13\).
\(-9\;\Box-13\)
\(-9\) is closer to zero than \(-13\).
\(\therefore\;-9>-13\)
Example: \(-125<-75\)
Example: \(0>-100,\;0>-500\)
A \(-12>-6\)
B \(-12<-6\)
C \(-12=-6\)
D \(-12\leq-6\)
Positive numbers > Negative numbers
For example: Compare \(-17\) and \(1\).
\(-17\,\Box\,1\)
\(-17\) is a negative number and \(1\) is a positive number, so \(-17\) is less than \(1.\)
Therefore, \(-17<1\)
A \(5\leq-50\)
B \(5=-50\)
C \(-50>5\)
D \(5>-50\)
For example: Arrange \(-6,\;-2,\;-10\) and \(-9\) in the order of least to greatest.
First, draw a number line from \(-10\) to \(0\) and represent the numbers according to their places.
Now, arrange the plotted numbers as per the number line.
On a number line, any integer is greater than the number on its left side and is smaller than the number on its right side.
Write the given numbers starting from furthest to the left and moving towards zero on the number line.
\(-10<-9<-6<-2\)
Now, arrange the given numbers according to the number line.
Write the given numbers starting from furthest to the left and moving towards zero on the number line.
\(-10<-9<-6<-2\)
A \(-2<-7<-15<-18\)
B \(-18<-15<-7<-2\)
C \(-18>-15>-7>-2\)
D \(-2>-7>-15>-18\)
For example: Arrange \(5,\;-4,\;2\,and-5\) in the order of least to greatest.
First, draw a number line from \(-5\) to \(5\) and plot the integers on it according to their places.
Now, arrange the plotted numbers as per the number line.
Start from the furthest to the left and move the way up to the right.
\(-5<-4<2<5\)
Now, arrange the given numbers according to the number line. Start from the furthest to the left and move the way up to the right.
\(-5<-4<2<5\)
A \(-8,\;4,\;1\)
B \(4,-8,\;1\)
C \(-8,\;1,\;4\)
D \(1,\;4,-8\)