# 1.4 Multiply whole numbers

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## Practice makes perfect

Use Multiplication Notation

In the following exercises, translate from math notation to words.

$4\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}7$

four times seven; the product of four and seven

$8\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}6$

$5·12$

five times twelve; the product of five and twelve

$3·9$

$\left(10\right)\left(25\right)$

ten times twenty-five; the product of ten and twenty-five

$\left(20\right)\left(15\right)$

$42\left(33\right)$

forty-two times thirty-three; the product of forty-two and thirty-three

$39\left(64\right)$

Model Multiplication of Whole Numbers

In the following exercises, model the multiplication.

$3\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}6$

$4\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}5$

$5\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}9$

$3\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}9$

Multiply Whole Numbers

In the following exercises, fill in the missing values in each chart.

In the following exercises, multiply.

$0·15$

0

$0·41$

$\left(99\right)0$

0

$\left(77\right)0$

$1·43$

43

$1·34$

$\left(28\right)1$

28

$\left(65\right)1$

$1\left(240,055\right)$

240,055

$1\left(189,206\right)$

1. $7·6$
2. $6·7$
1. 42
2. 42

1. $8\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}9$
2. $9\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}8$

$\left(79\right)\left(5\right)$

395

$\left(58\right)\left(4\right)$

$275·6$

1,650

$638·5$

$3,421\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}7$

23,947

$9,143\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}3$

$52\left(38\right)$

1,976

$37\left(45\right)$

$96·73$

7,008

$89·56$

$27\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}85$

2,295

$53\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}98$

$23·10$

230

$19·10$

$\left(100\right)\left(36\right)$

360

$\left(100\right)\left(25\right)$

$1,000\left(88\right)$

88,000

$1,000\left(46\right)$

$50\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}1,000,000$

50,000,000

$30\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}1,000,000$

$247\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}139$

34,333

$156\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}328$

$586\left(721\right)$

422,506

$472\left(855\right)$

$915·879$

804,285

$968·926$

$\left(104\right)\left(256\right)$

26,624

$\left(103\right)\left(497\right)$

$348\left(705\right)$

245,340

$485\left(602\right)$

$2,719\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}543$

1,476,417

$3,581\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}724$

Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

the product of $18$ and $33$

18 · 33; 594

the product of $15$ and $22$

fifty-one times sixty-seven

51(67); 3,417

forty-eight times seventy-one

twice $249$

2(249); 498

twice $589$

ten times three hundred seventy-five

10(375); 3,750

ten times two hundred fifty-five

Mixed Practice

In the following exercises, simplify.

$38\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}37$

1,406

$86\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}29$

$415-267$

148

$341-285$

$6,251+4,749$

11,000

$3,816+8,184$

$\left(56\right)\left(204\right)$

11,424

$\left(77\right)\left(801\right)$

$947·0$

0

$947+0$

$15,382+1$

15,383

$15,382·1$

In the following exercises, translate and simplify.

the difference of 50 and 18

50 − 18; 32

the difference of 90 and 66

twice 35

2(35); 70

twice 140

20 more than 980

20 + 980; 1,000

65 more than 325

the product of 12 and 875

12(875); 10,500

the product of 15 and 905

subtract 74 from 89

89 − 74; 15

subtract 45 from 99

the sum of 3,075 and 95

3,075 + 950; 4,025

the sum of 6,308 and 724

366 less than 814

814 − 366; 448

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?

## Everyday math

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? ## Writing exercises 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? ## Self check 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? #### Questions & Answers where we get a research paper on Nano chemistry....? Maira Reply what are the products of Nano chemistry? Maira Reply There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others.. learn Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level learn Google da no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts Bhagvanji Preparation and Applications of Nanomaterial for Drug Delivery Hafiz Reply revolt da Application of nanotechnology in medicine what is variations in raman spectra for nanomaterials Jyoti Reply I only see partial conversation and what's the question here! Crow Reply what about nanotechnology for water purification RAW Reply please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment. Damian yes that's correct Professor I think Professor Nasa has use it in the 60's, copper as water purification in the moon travel. Alexandre nanocopper obvius Alexandre what is the stm Brian Reply is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.? Rafiq industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong Damian How we are making nano material? LITNING Reply what is a peer LITNING Reply What is meant by 'nano scale'? LITNING Reply What is STMs full form? LITNING scanning tunneling microscope Sahil how nano science is used for hydrophobicity Santosh Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq Rafiq what is differents between GO and RGO? Mahi what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq Rafiq if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION Anam analytical skills graphene is prepared to kill any type viruses . Anam Any one who tell me about Preparation and application of Nanomaterial for drug Delivery Hafiz what is Nano technology ? Bob Reply write examples of Nano molecule? Bob The nanotechnology is as new science, to scale nanometric brayan nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale Damian Is there any normative that regulates the use of silver nanoparticles? Damian Reply what king of growth are you checking .? Renato What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ? Stoney Reply why we need to study biomolecules, molecular biology in nanotechnology? Adin Reply ? Kyle yes I'm doing my masters in nanotechnology, we are being studying all these domains as well.. Adin why? Adin what school? Kyle biomolecules are e building blocks of every organics and inorganic materials. Joe how did you get the value of 2000N.What calculations are needed to arrive at it Smarajit Reply Privacy Information Security Software Version 1.1a Good A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place. Kimberly Reply Jeannette has$5 and \$10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
What is the expressiin for seven less than four times the number of nickels
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how do you translate this in Algebraic Expressions
why surface tension is zero at critical temperature
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. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?