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2.6 Summary of key concepts

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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

Ayele, K., 2003. Introductory Economics, 3rd ed., Addis Ababa.
Widad Reply
can you send the book attached ?
Ariel
?
Ariel
What is economics
Widad Reply
the study of how humans make choices under conditions of scarcity
AI-Robot
U(x,y) = (x×y)1/2 find mu of x for y
Desalegn Reply
U(x,y) = (x×y)1/2 find mu of x for y
Desalegn
what is ecnomics
Jan Reply
this is the study of how the society manages it's scarce resources
Belonwu
what is macroeconomic
John Reply
macroeconomic is the branch of economics which studies actions, scale, activities and behaviour of the aggregate economy as a whole.
husaini
etc
husaini
difference between firm and industry
husaini Reply
what's the difference between a firm and an industry
Abdul
firm is the unit which transform inputs to output where as industry contain combination of firms with similar production 😅😅
Abdulraufu
Suppose the demand function that a firm faces shifted from Qd  120 3P to Qd  90  3P and the supply function has shifted from QS  20  2P to QS 10  2P . a) Find the effect of this change on price and quantity. b) Which of the changes in demand and supply is higher?
Toofiq Reply
explain standard reason why economic is a science
innocent Reply
factors influencing supply
Petrus Reply
what is economic.
Milan Reply
scares means__________________ends resources. unlimited
Jan
economics is a science that studies human behaviour as a relationship b/w ends and scares means which have alternative uses
Jan
calculate the profit maximizing for demand and supply
Zarshad Reply
Why qualify 28 supplies
Milan
what are explicit costs
Nomsa Reply
out-of-pocket costs for a firm, for example, payments for wages and salaries, rent, or materials
AI-Robot
concepts of supply in microeconomics
David Reply
economic overview notes
Amahle Reply
identify a demand and a supply curve
Salome Reply
i don't know
Parul
there's a difference
Aryan
Demand curve shows that how supply and others conditions affect on demand of a particular thing and what percent demand increase whith increase of supply of goods
Israr
Hi Sir please how do u calculate Cross elastic demand and income elastic demand?
Abari
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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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