Basic Mathematics for College Students

1.5 Dividing Whole Numbers 65

1. a. b. c. 2.742; 4 742 2,968 3. 805 4.23 R 10;
   (2334) 10  792 5.46 R 58 6. a.no b.yes c.yes d.no e.yes f.no


2. a. 5 b. 620 c. 8 8. 800 9.12 showings; 118 10.11 days

4  2  8 8  7  56 9  4  36

ANSWERS TO SELF CHECKS

SECTION 1.5 STUDY SET

VOCABULARY

Fill in the blanks.

1. In the three division problems shown below, label the
   dividend, divisor,and the quotient.

Fill in the blanks.

9. Divide, if possible.

a. b.

c. is d.

10. To perform long division, we follow a four-step process:
    , , , and.


11. Find the firstdigit of each quotient.

a. b.

c. d.

12. a.
    b.


13. To check whether the division
    is correct, we use multiplication:


14. a. A number is divisible by if its last digit is
    divisible by 2.
    b. A number is divisible by 3 if the of its digits
    is divisible by 3.
    c. A number is divisible by 4 if the number formed
    by its last digits is divisible by 4.


15. a. A number is divisible by 5 if its last digit is or.
    b. A number is divisible by 6 if it is divisible by
    and.
    c. A number is divisible by 9 if the of its digits
    is divisible by 9.
    d. A number is divisible by if its last digit is 0.


16. We can simplify the division by
    removing two from the dividend and the
    divisor.

43,800 200

 9

37

(^9)  333
(Quotientdivisor) dividend
Quotientdivisor

23  7501 16  892

(^5)  (^11479)  587

0

12



100

0

6

1



25

25



(^12)  ^43   


3

(^4)  12



12

4

 3

 

2. We call the related statement
   for the division


3. The problem is written in -division form.


4. If a division is not exact, the leftover part is called the
   .


5. One number is by another number if, when
   we divide them, the remainder is 0.


6. Phrases such as split equallyand how many does each
   indicate the operation of.

CONCEPTS

7. a. Divide the objects below into groups of 3. How
   many groups of 3 are there?
   
   
   • • • • • • • • • • • • • • • • • • • • •
     b. Divide the objects below into groups of 4. How
     many groups of 4 are there? How many objects are
     left over?
   
   
   
   

8. Tell whether each statement is true or false.

a. Any whole number divided by 1 is equal to that

number.

b. Any nonzero whole number divided by itself is

equal to 1.

c. Zero divided by any nonzero number is

undefined.

d. Division of a number by 0 is equal to 0.

6  246

40  8 5.

5  8  40