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This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module summarizes the concepts discussed in the chapter "Multiplication and Division of Whole Numbers."

Summary of key concepts

Multiplication ( [link] )

Multiplication is a description of repeated addition.
7 + 7 + 7 + 7 7 appears 4 times
This expression is described by writing 4 X 7.

Multiplicand/multiplier/product ( [link] )

In a multiplication of whole numbers, the repeated addend is called the multiplicand , and the number that records the number of times the multiplicand is used is the multiplier . The result of the multiplication is the product .

Factors ( [link] )

In a multiplication, the numbers being multiplied are also called factors . Thus, the multiplicand and the multiplier can be called factors.

Division ( [link] )

Division is a description of repeated subtraction.

Dividend/divisor/quotient ( [link] )

In a division, the number divided into is called the dividend , and the number dividing into the dividend is called the divisor . The result of the division is called the quotient .
quotient divisor dividend

Division into zero ( [link] )

Zero divided by any nonzero whole number is zero.

Division by zero ( [link] )

Division by zero does not name a whole number. It is, therefore, undefined. The quotient 0 0 size 12{ { {0} over {0} } } {} is indeterminant.

Division by 2, 3, 4, 5, 6, 8, 9, 10 ( [link] )

Division by the whole numbers 2, 3, 4, 5, 6, 8, 9, and 10 can be determined by noting some certain properties of the particular whole number.

Commutative property of multiplication ( [link] )

The product of two whole numbers is the same regardless of the order of the factors. 3 × 5 = 5 × 3 size 12{3 times 5=5 times 3} {}

Associative property of multiplication ( [link] )

If three whole numbers are to be multiplied, the product will be the same if the first two are multiplied first and then that product is multiplied by the third, or if the second two are multiplied first and then that product is multiplied by the first.
( 3 × 5 ) × 2 = 3 × ( 5 × 2 ) size 12{ \( 3 times 5 \) times 2=3 times \( 5 times 2 \) } {}
Note that the order of the factors is maintained.

Multiplicative identity ( [link] )

The whole number 1 is called the multiplicative identity since any whole number multiplied by 1 is not changed.
4 × 1 = 4 size 12{4 times 1=4} {}
1 × 4 = 4 size 12{1 times 4=4} {}

Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
what is titration
John Reply
what is physics
Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
what is the dimension formula of energy?
David Reply
what is viscosity?
David
what is inorganic
emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what's motion
Maurice Reply
what are the types of wave
Maurice
answer
Magreth
progressive wave
Magreth
hello friend how are you
Muhammad Reply
fine, how about you?
Mohammed
hi
Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
Who can show me the full solution in this problem?
Reofrir Reply
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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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