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Use a calculator to perform each division.
$\text{328}\xf78$
Type | 328 |
Press | ÷ |
Type | 8 |
Press | = |
The display now reads 41.
$\text{53},\text{136}\xf7\text{82}$
Type | 53136 |
Press | ÷ |
Type | 82 |
Press | = |
The display now reads 648.
$\text{730},\text{019},\text{001}\xf7\text{326}$
We first try to enter 730,019,001 but find that we can only enter 73001900. If our calculator has only an eight-digit display (as most nonscientific calculators do), we will be unable to use the calculator to perform this division.
$\text{3727}\xf7\text{49}$
Type | 3727 |
Press | ÷ |
Type | 49 |
Press | = |
The display now reads 76.061224.
This number is an example of a decimal number (see [link] ). When a decimal number results in a calculator division, we can conclude that the division produces a remainder.
Use a calculator to perform each division.
$\text{21},\text{996},\text{385},\text{287}\xf7\text{53}$
Since the dividend has more than eight digits, this division cannot be performed on most nonscientific calculators. On others, the answer is 415,026,137.4
$\mathrm{4,}\text{558}\xf7\text{67}$
This division results in 68.02985075, a decimal number, and therefore, we cannot, at this time, find the value of the remainder. Later, we will discuss decimal numbers.
For the following problems, perform the divisions.
The first 38 problems can be checked with a calculator by multiplying the divisor and quotient then adding the remainder.
$\text{776}\xf78$
$\text{240}\xf78$
$\text{576}\xf76$
$\text{528}\xf78$
$\text{96}\xf78$
$\text{896}\xf7\text{56}$
$\text{988}\xf7\text{19}$
$\mathrm{2,}\text{530}\xf7\text{55}$
$\text{637}\xf7\text{13}$
$\mathrm{5,}\text{655}\xf7\text{87}$
$\mathrm{9,}\text{328}\xf7\text{22}$
$\text{68},\text{356}\xf7\text{92}$
$\mathrm{6,}\text{510}\xf7\text{31}$
$\text{31},\text{844}\xf7\text{38}$
$\text{60},\text{606}\xf7\text{74}$
$\mathrm{1,}\text{389},\text{660}\xf7\text{795}$
$\mathrm{7,}\text{162},\text{060}\xf7\text{879}$
8,147 remainder 847
$\mathrm{7,}\text{561},\text{060}\xf7\text{909}$
$\text{97}\xf74$
$\text{573}\xf76$
$\text{13},\text{521}\xf7\text{53}$
$\text{10},\text{592}\xf7\text{43}$
$\mathrm{8,}\text{320}\xf7\text{21}$
$\mathrm{1,}\text{030}\xf7\text{28}$
$\mathrm{3,}\text{628}\xf7\text{90}$
$\text{52},\text{196}\xf7\text{55}$
For the following 5 problems, use a calculator to find the quotients.
$\mathrm{4,}\text{346}\xf7\text{53}$
$\mathrm{6,}\text{771}\xf7\text{37}$
$\mathrm{7,}\text{558},\text{110}\xf7\text{651}$
A mathematics instructor at a high school is paid $17,775 for 9 months. How much money does this instructor make each month?
$1,975 per month
A couple pays $4,380 a year for a one-bedroom apartment. How much does this couple pay each month for this apartment?
Thirty-six people invest a total of $17,460 in a particular stock. If they each invested the same amount, how much did each person invest?
$485 each person invested
Each of the 28 students in a mathematics class buys a textbook. If the bookstore sells $644 worth of books, what is the price of each book?
A certain brand of refrigerator has an automatic ice cube maker that makes 336 ice cubes in one day. If the ice machine makes ice cubes at a constant rate, how many ice cubes does it make each hour?
14 cubes per hour
A beer manufacturer bottles 52,380 ounces of beer each hour. If each bottle contains the same number of ounces of beer, and the manufacturer fills 4,365 bottles per hour, how many ounces of beer does each bottle contain?
A computer program consists of 68,112 bits. 68,112 bits equals 8,514 bytes. How many bits in one byte?
8 bits in each byte
A 26-story building in San Francisco has a total of 416 offices. If each floor has the same number of offices, how many floors does this building have?
A college has 67 classrooms and a total of 2,546 desks. How many desks are in each classroom if each classroom has the same number of desks?
38
( [link] ) What is the value of 4 in the number 124,621?
( [link] ) Round 604,092 to the nearest hundred thousand.
600,000
( [link] ) What whole number is the additive identity?
( [link] ) Find the product. $\mathrm{6,}\text{256}\times \text{100}$ .
625,600
( [link] ) Find the quotient. $0\xf7\text{11}$ .
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