# Math

posted by Nnh

1/why can 0 be divided by any number , but any number cann't be divided by 0?

2/ Mr. Cruz is planning to give each of his students 2 pencils for their math test . Pencils come in packs of 8 . If he has 32 students ,can he open enough packs to give all his students pencils but have none left over ?
32 divide 8=4
Help me..

1. Steve

The principal property of 0 is that for any real a, a*0 = 0

Now, suppose that we want to divide by 0. That means that if
a/0 = b, then
a = b*0

But b*0 is 0 for any b. That is, there is no real value of b for which b*0 is a nonzero number a.

Think of the quotient when the divisor shrinks:

1/.1 = 10
1/.01 = 100
1/.0000001 = 10,000,000
as the divisor gets smaller, the quotient gets larger. Finally, when the divisor is zero, the quotient is larger than any possible value. That is why it is undefined.

As for the pencils, he want 2 per student. That means he needs 64 pencils.
Since 8 divides 64, he can get exactly 64/8 = 8 packs of pencils and use them all up.

## Similar Questions

1. ### math

What is the lowest numberthat has a remainder of 1 when divided by 2 and a remainder of 2 when devided by 3 and a remainder of 3 when divided by 4 and a remainder of 4 when divided by 5?
2. ### math

Please can you help me with the following two questions?
3. ### Math

20% of a number is 8 ... fine the number 20 divided by 100 is 5, 8 divided by 5 is 1.6 is the answer 1.6/8 ?
4. ### MATH

20% of a number is 8 ... fine the number 20 divided by 100 is 5, 8 divided by 5 is 1.6 is the answer 1.6/8 ?
5. ### Math

The table shows the number of classrooms needed for different numbers of students. Total Students Classrooms 66 3 110 5 154 7 220 10 What is the relationship between Total Students and Classrooms?
6. ### math

Atdewberry Elementary there are 5 times as many boys than girls. Let (b) represent the number of boys. Which expression shows the number of girls students at the school. a. 5xb b. 5 divided by b c. b divided by 5 d. bx5 my answer is …
7. ### Math

There are 12 girls and 9 boys in Mrs. Johnson's classroom. She said that if she randomly selects one student from her classroom the probability that it is a boy is 3/4. Which mistake did Mrs. Johnson make?
8. ### Math

There are 12 girls and 9 boys in Mrs. Johnson's classroom. She said that if she randomly selects one student from her classroom the probability that it is a boy is 3/4. Which mistake did Mrs. Johnson make?
9. ### Estimation decimal quotient

Use compatible numbers to find the each quotient ,2.90 divided by 29,48 divided by 3.2, 0.18 divided by 0.33,152 divided by 5.12,41.9 divided by 19,33.90 divided by 10.2, 502 divided by 9.5, 180.8 divided by 6 , 48 divided by 3.33, …
10. ### algebra

Please check A number m decreases by 4 m-4 A number d divided by k,minus 6 D/k-6 A number b less 8 B-8 The sum of a number m and 10 M+10 18 divided by a number r 18/r 32 decreased by a number n 32-n A number k increased by itself K+k

More Similar Questions