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Use Multiplication Notation
In the following exercises, translate from math notation to words.
$4\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}7$
four times seven; the product of four and seven
$8\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}6$
$(10)(25)$
ten times twenty-five; the product of ten and twenty-five
$(20)(15)$
$42(33)$
forty-two times thirty-three; the product of forty-two and thirty-three
Model Multiplication of Whole Numbers
In the following exercises, model the multiplication.
$3\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}6$
$4\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}5$
$5\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}9$
$3\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}9$
Multiply Whole Numbers
In the following exercises, fill in the missing values in each chart.
In the following exercises, multiply.
$0\xb741$
$1\xb734$
$1(\mathrm{189,206})$
$(58)(4)$
$638\xb75$
$\mathrm{3,421}\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}7$
23,947
$\mathrm{9,143}\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}3$
$89\xb756$
$27\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}85$
2,295
$53\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}98$
$19\xb710$
$(100)(25)$
$\mathrm{1,000}(46)$
$50\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}\mathrm{1,000,000}$
50,000,000
$30\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}\mathrm{1,000,000}$
$247\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}139$
34,333
$156\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}328$
$472(855)$
$968\xb7926$
$(103)(497)$
$485(602)$
$\mathrm{2,719}\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}543$
1,476,417
$\mathrm{3,581}\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}724$
Translate Word Phrases to Math Notation
In the following exercises, translate and simplify.
the product of $15$ and $22$
forty-eight times seventy-one
twice $589$
ten times two hundred fifty-five
Mixed Practice
In the following exercises, simplify.
$38\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}37$
1,406
$86\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}29$
$341-285$
$\mathrm{3,816}+\mathrm{8,184}$
$(77)(801)$
$\mathrm{15,382}\xb71$
In the following exercises, translate and simplify.
the difference of 90 and 66
twice 140
65 more than 325
the product of 15 and 905
subtract 45 from 99
the sum of 6,308 and 724
388 less than 925
Multiply Whole Numbers in Applications
In the following exercises, solve.
Party supplies Tim brought 9 six-packs of soda to a club party. How many cans of soda did Tim bring?
Tim brought 54 cans of soda to the party.
Sewing Kanisha is making a quilt. She bought 6 cards of buttons. Each card had four buttons on it. How many buttons did Kanisha buy?
Field trip Seven school busses let off their students in front of a museum in Washington, DC. Each school bus had 44 students. How many students were there?
There were 308 students.
Gardening Kathryn bought 8 flats of impatiens for her flower bed. Each flat has 24 flowers. How many flowers did Kathryn buy?
Charity Rey donated 15 twelve-packs of t-shirts to a homeless shelter. How many t-shirts did he donate?
Rey donated 180 t-shirts.
School There are 28 classrooms at Anna C. Scott elementary school. Each classroom has 26 student desks. What is the total number of student desks?
Recipe Stephanie is making punch for a party. The recipe calls for twice as much fruit juice as club soda. If she uses 10 cups of club soda, how much fruit juice should she use?
Stephanie should use 20 cups of fruit juice.
Gardening Hiroko is putting in a vegetable garden. He wants to have twice as many lettuce plants as tomato plants. If he buys 12 tomato plants, how many lettuce plants should he get?
Government The United States Senate has twice as many senators as there are states in the United States. There are 50 states. How many senators are there in the United States Senate?
There are 100 senators in the U.S. senate.
Recipe Andrea is making potato salad for a buffet luncheon. The recipe says the number of servings of potato salad will be twice the number of pounds of potatoes. If she buys 30 pounds of potatoes, how many servings of potato salad will there be?
Painting Jane is painting one wall of her living room. The wall is rectangular, 13 feet wide by 9 feet high. What is the area of the wall?
The area of the wall is 117 square feet.
Home décor Shawnte bought a rug for the hall of her apartment. The rug is 3 feet wide by 18 feet long. What is the area of the rug?
Room size The meeting room in a senior center is rectangular, with length 42 feet and width 34 feet. What is the area of the meeting room?
The area of the room is 1,428 square feet.
Gardening June has a vegetable garden in her yard. The garden is rectangular, with length 23 feet and width 28 feet. What is the area of the garden?
NCAA basketball According to NCAA regulations, the dimensions of a rectangular basketball court must be 94 feet by 50 feet. What is the area of the basketball court?
The area of the court is 4,700 square feet.
NCAA football According to NCAA regulations, the dimensions of a rectangular football field must be 360 feet by 160 feet. What is the area of the football field?
Stock market Javier owns 300 shares of stock in one company. On Tuesday, the stock price rose $\text{\$}12$ per share. How much money did Javier’s portfolio gain?
Javier’s portfolio gained $3,600.
Salary Carlton got a $\text{\$}200$ raise in each paycheck. He gets paid 24 times a year. How much higher is his new annual salary?
How confident do you feel about your knowledge of the multiplication facts? If you are not fully confident, what will you do to improve your skills?
Answers will vary.
How have you used models to help you learn the multiplication facts?
ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
ⓑ On a scale of 1–10, how would you rate your mastery of this section in light of your responses on the checklist? How can you improve this?
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