1.5 Dividing Whole Numbers 65- 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 - a. 5 b. 620 c. 8 8. 800 9.12 showings; 118 10.11 days
4 2 8 8 7 56 9 4 36ANSWERS TO SELF CHECKSSECTION 1.5 STUDY SET
VOCABULARY
Fill in the blanks.
- In the three division problems shown below, label the
dividend, divisor,and the quotient.
Fill in the blanks.- Divide, if possible.
a. b.c. is d.- To perform long division, we follow a four-step process:
, , , and. - Find the firstdigit of each quotient.
a. b.c. d.- a.
b. - To check whether the division
is correct, we use multiplication: - 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. - 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. - 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
- We call the related statement
for the division - The problem is written in -division form.
- If a division is not exact, the leftover part is called the
. - One number is by another number if, when
we divide them, the remainder is 0. - Phrases such as split equallyand how many does each
indicate the operation of.
CONCEPTS- 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?
- • • • • • • • • • • • • • • • • • • • •
- 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.