7.4 Whole numbers: multiplication  (Page 3/3)

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Sample set e

Multiply 75,891 by 263.

 Display Reads Type 75891 75891 Press × 75891 Type 263 263 Press = 19959333

The product is 19,959,333.

Multiply 4,510,000,000,000 by 1,700.

 Display Reads Type 451 451 Press × 451 Type 17 17 Press = 7667

The display now reads 7667. We'll have to add the zeros ourselves. There are a total of 12 zeros. Attaching 12 zeros to 7667, we get 7,667,000,000,000,000.

The product is 7,667,000,000,000,000.

Multiply 57,847,298 by 38,976.

 Display Reads Type 57847298 57847298 Press × 57847298 Type 38976 38976 Press = 2.2546563 12

The display now reads 2.2546563 12. What kind of number is this? This is an example of a whole number written in scientific notation . We'll study this concept when we get to decimal numbers.

Practice set e

Use a calculator to perform each multiplication.

$\text{52}×\text{27}$

1,404

$1,\text{448}×6,\text{155}$

8,912,440

$8,\text{940},\text{000}×\text{205},\text{000}$

1,832,700,000,000

Exercises

For the following problems, perform the multiplications. You may check each product with a calculator.

$\begin{array}{c}\hfill 8\\ \hfill \underline{×3}\end{array}$

24

$\begin{array}{c}\hfill 3\\ \hfill \underline{×5}\end{array}$

$\begin{array}{c}\hfill 8\\ \hfill \underline{×6}\end{array}$

48

$\begin{array}{c}\hfill 5\\ \hfill \underline{×7}\end{array}$

$\text{6 × 1}$

6

$\text{4 × 5}$

$\text{75 × 3}$

225

$\text{35 × 5}$

270

582

$\begin{array}{c}\hfill 75\\ \hfill \underline{×57}\end{array}$

$\begin{array}{c}\hfill 64\\ \hfill \underline{×15}\end{array}$

960

$\begin{array}{c}\hfill 73\\ \hfill \underline{×15}\end{array}$

$\begin{array}{c}\hfill 81\\ \hfill \underline{×95}\end{array}$

7,695

$\begin{array}{c}\hfill 31\\ \hfill \underline{×33}\end{array}$

$\text{57 × 64}$

3,648

$\text{76 × 42}$

$\text{894 × 52}$

46,488

$\text{684 × 38}$

2,530

6,888

$\text{930 × 26}$

24,180

$\text{318 × 63}$

$\begin{array}{c}\hfill 582\\ \hfill \underline{×127}\end{array}$

73,914

$\begin{array}{c}\hfill 247\\ \hfill \underline{×116}\end{array}$

$\begin{array}{c}\hfill 305\\ \hfill \underline{×225}\end{array}$

68,625

$\begin{array}{c}\hfill 782\\ \hfill \underline{×547}\end{array}$

$\begin{array}{c}\hfill 771\\ \hfill \underline{×663}\end{array}$

511,173

$\begin{array}{c}\hfill 638\\ \hfill \underline{×516}\end{array}$

$\text{1,905 × 710}$

1,352,550

$\text{5,757 × 5,010}$

$\begin{array}{c}\hfill 3,106\\ \hfill \underline{×1,752}\end{array}$

5,441,712

$\begin{array}{c}\hfill 9,300\\ \hfill \underline{×1,130}\end{array}$

$\begin{array}{c}\hfill 7,057\\ \hfill \underline{×5,229}\end{array}$

36,901,053

$\begin{array}{c}\hfill 8,051\\ \hfill \underline{×5,580}\end{array}$

$\begin{array}{c}\hfill 5,804\\ \hfill \underline{×4,300}\end{array}$

24,957,200

$\begin{array}{c}\hfill 357\\ \hfill \underline{×16}\end{array}$

0

41,384

0

$\begin{array}{c}\hfill 387\\ \hfill \underline{×190}\end{array}$

73,530

6,440,000,000

4,440,000

641,900,000

80,000

Suppose a theater holds 426 people. If the theater charges $4 per ticket and sells every seat, how much money would they take in? In an English class, a student is expected to read 12 novels during the semester and prepare a report on each one of them. If there are 32 students in the class, how many reports will be prepared? 384 reports In a mathematics class, a final exam consists of 65 problems. If this exam is given to 28 people, how many problems must the instructor grade? A business law instructor gives a 45 problem exam to two of her classes. If each class has 37 people in it, how many problems will the instruc­tor have to grade? 3,330 problems An algebra instructor gives an exam that consists of 43 problems to four of his classes. If the classes have 25, 28, 31, and 35 students in them, how many problems will the instructor have to grade? In statistics, the term "standard deviation" refers to a number that is calculated from certain data. If the data indicate that one standard de­viation is 38 units, how many units is three stan­dard deviations? 114 units Soft drinks come in cases of 24 cans. If a supermarket sells 857 cases during one week, how many individual cans were sold? There are 60 seconds in 1 minute and 60 minutes in 1 hour. How many seconds are there in 1 hour? 3,600 seconds There are 60 seconds in 1 minute, 60 minutes in one hour, 24 hours in one day, and 365 days in one year. How many seconds are there in 1 year? Light travels 186,000 miles in one second. How many miles does light travel in one year? ( Hint: Can you use the result of the previous problem?) 5,865,696,000,000 miles per year An elementary school cafeteria sells 328 lunches every day. Each lunch costs$1. How much money does the cafeteria bring in in 2 weeks?

A computer company is selling stock for $23 a share. If 87 people each buy 55 shares, how much money would be brought in?$110,055

Exercises for review

( [link] ) In the number 421,998, how may ten thousands are there?

( [link] ) Round 448,062,187 to the nearest hundred thousand.

448,100,000

( [link] ) Find the sum. 22,451 + 18,976.

( [link] ) Subtract 2,289 from 3,001.

712

( [link] ) Specify which property of addition justifies the fact that (a first whole number + a second whole number) = (the second whole number + the first whole number)

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