Answer the following questions.
a) A teacher has 16 notebooks and 24 pencils which she wants to distribute equally
among her students. What is the highest number of students among whom she can
distribute the notebooks and the pencils equally?
b) Milka is running a round-the-world marathon. He has already covered 23.45 822 m
He has to cover another 34.28.192 m to the finish line. How much distance would
he have run in total?
__23,45822m___________34,28,192m___________
Answers
Answer:
a)8 students
b)23,45,822m+34,28,192 m = 57,74,014m
Step-by-step explanation:
a) As teacher is distributing it is division.
So as now we need to find the Highest number of students we should find out the HCF Highest Common Factor of the number of books and number of pencils.
Number of books = 16
Number of pencils ✏️ = 24
Highest number of students among whom the teacher can distribute the notebooks and the pencils equally
= The HCF Highest Common Factor of the number of books and number of pencils
= HCF of 16 and 24 Factors of 16
= 8 students are 1,2,4,8,16.
Factors of 24
are 1,2,3,4,6,8,12,24.
Common factors
are 1,2,4,8.
Highest Common Factor
is 8.
Therefore,The highest number of students among whom
the teacher can distribute the notebooks and the pencils equally is 8 students.
b)
Distance already covered by milka = 23,45822m
Distance he has to cover to complete the marathon
= 34,28,192 m
distance he would have run in total = Distance covered+Distance remaining
= 23,45822m + 34,28,192 m
= 57,74,014m.