Question

Write the fraction representing the total number of natural numbers in the collection of numbers $-3,-2,-1,0,1,2,3.$ What fraction will it be for the whole number? What fraction will it be for integers?

Answer 1

Given collection is $-3,-2,-1,0,1,2,3.$

Total items in given collection $=7$

Natural numbers are $1,2,3,4,5,......$

In the given collection the Natural numbers are $=1,2,3$

Number of natural number in the given collection $=3$

$\therefore$ The fraction of natural numbers to the given collection

$=\frac{\text{Total no. of natural number}}{\text{Total items in given collection}}=\frac{3}{7}$

Whole numbers are collection of natural numbers and $0.$

Now, whole numbers in the given collection $=0,1,2,3$

Number of whole numbers in the given collection $=4$

The fraction of whole numbers to the collection $=\frac{\text{Total no. of whole number}}{\text{Total items in given collection}}=\frac{4}{7}$

Integers in the given collection $=-3,-2,-1,0,1,2,3$

Number of integers in the given collection $=7$

The fraction of integers to the collection $=\frac{\text{Total no. of integers}}{\text{Total items in given collection}}=\frac{7}{7}=\frac{1}{1}$