Page 87 - Basic College Mathematics with Early Integers

64 C HAPTE R 1 I THE WHOLE NUMBERS

Naturally, quotients don’t 4 rows
always “come out even.” 6 chairs in each row
Making 4 rows out of 26 chairs,
for example, isn’t possible if
each row is supposed to have
exactly the same number of
chairs. Each of 4 rows can
have 6 chairs, but 2 chairs are 2 chairs
still left over. left over

We signify “leftovers” or remainders in this way:

6 R 2

426
The whole number part of the quotient is 6; the remainder part of the quotient is 2.
Checking by multiplying,

whole number part # divisor + remainder part = dividend

∂ ∂ ∂ ∂
6 # 4 + 2
24 + 2 = 26

PRACTICE 6 Example 6 Divide and check: 2557 , 7
Divide and check.
Solution: 365 R 2
a. 4939
72557

b. 53287 – 21 3(7) = 21
45 25 - 21 = 4; bring down the 5.

– 42 6(7) = 42
37 45 - 42 = 3; bring down the 7.
– 35 5(7) = 35
2 37 - 35 = 2; the remainder is 2.
Check: 365 # 7 + 2 = 2557
æ æ æ æ
whole
# remainder
number divisor + = dividend
part
part
Work Practice 6

PRACTICE 7 Example 7 Divide and check: 56,717 , 8
Divide and check.
Solution: 7089 R 5
a. 981,605
856717
b. 423,310
– 56 7182 = 56
07 Subtract and bring down the 7.
– 0 0182 = 0
71 Subtract and bring down the 1. Copyright 2012 Pearson Education, Inc.
– 64 8182 = 64
77 Subtract and bring down the 7.
Answers
– 72 9182 = 72
6. a. 234 R 3 b. 657 R 2
5 Subtract.The remainder is 5.
7. a. 9067 R 2 b. 5827 R 2