Question

Which statement is true about the points shown on the number line?
A.-9.8<-11.3, and -9.8 is located to the left of -11.3.
B.-9.8>-11.3, and -9.8 is located to the left of -11.3.
C.-9.8<-11.3, and -9.8 is located to the right of -11.3.
D.-9.8>-11.3, and -9.8 is located to the right of -11.3.

Answer 1

Hint: In this question, we are given two points on the number line and we have to find which of the options is correct. The numbers on the left side of the number line are negative while that on the right side are positive. As we towards the right side of the number line the value of the number increases while on moving towards the left side the value of the number decreases.

Complete step-by-step answer:
We have to find that out of -9.8 and -11.3, which number is greater and where do they lie.
In case of the negative numbers, as the magnitude of the number (ignoring the sign of the number) increases, the value of the number decreases, because with the increase in the magnitude the number becomes more and more negative. So, we get -9.8>-11.3.
Also, we know that as we move towards the right side on a number line, the value of numbers increases, as -9.8 is greater in value than -11.3, so it lies on the right of -11.3.
Here is an image of the number line for better understanding –

So, the correct answer is “Option D”.

Note: Numbers are basically of two types – real numbers and complex numbers. Only real numbers can be shown on a number line. Real numbers are further of two types – negative numbers and positive, so the number line is also divided into two parts. The numbers lying on the left side of the zero are negative while that on the right side are positive.