commutative property of multiplication · 2018. 8. 10. · commutative property of multiplication...
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Chapter 1 Vocabulary CardsChapter 1 Vocabulary Cards
same
factorsequation
equal groupsdivision symbol
divisionCommutative Property of Multiplication
columnarray
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A vertical (up and down)arrangement of objects in an array
An operation that separates a group of objects into groups of equal size
Groups that have the samenumber of objects
Numbers that are multiplied to get a product
A mathematical sentence that uses an equal sign, =, to show that two
expressions are equal.
A group of objects arranged intorows and columns
Changing the order of factors does not change the product.
12 ÷ 3 = 4
3 × 4 = 12 4 × 3 = 12
12 ÷ 4 = 3
4 × 3 = 12 3 × 4 = 12So, 4 × 3 = 3 × 4.
12 ÷ 3 = 412 ÷ 4 = 3
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same
tape diagram
rowproduct
multiplication symbolmultiplication
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An operation that gives the total number of objects when you
combine equal groups
3 × 4 = 12
The answer to amultiplication problem
3 × 4 = 12
A horizontal (left to right) arrangement of objects in an array
3 × 4 = 12
A model that shows a wholedivided into parts
124 4 4
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Chapter 2 Vocabulary CardsChapter 2 Vocabulary Cards
same
Multiplication Property of
ZeroMultiplication
Property of One
multipleDistributive Property
(with addition)
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The product of any number and 0 is 0.
5 × 0 = 0 0 × 2 = 0
The product of any number and 1 is that number.
10 × 1 = 10 1 × 2 = 2
The product of a number and any other counting number
1 × 5 = 52 × 5 = 103 × 5 = 154 × 5 = 20
multiples of 5
3 × (5 + 2) = (3 × 5) + (3 × 2)
(5 + 2) × 3 = (5 × 3) + (2 × 3)
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Chapter 3 Vocabulary CardsChapter 3 Vocabulary Cards
same
DistributiveProperty
(with subtraction)
DistributiveProperty
(with addition)Associative Property ofMultiplication
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3 × (5 − 2) = (3 × 5) − (3 × 2)
(5 − 2) × 3 = (5 × 3) − (2 × 3)
3 × (5 + 2) = (3 × 5) + (3 × 2)
(5 + 2) × 3 = (5 × 3) + (2 × 3)
Changing the grouping of factors does not change the product.
2 × (3 × 4) = 24
(2 × 3) × 4 = 24
So, 2 × (3 × 4) = (2 × 3) × 4.
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Chapter 4 Vocabulary CardsChapter 4 Vocabulary Cards
same
quotientfact family
divisordividend
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The number of objects or the amount you want to divide
10 ÷ 2 = 5
The answer when you divide one number by another number
10 ÷ 2 = 5
A group of related facts that uses the same numbers
3 × 2 = 62 × 3 = 66 ÷ 3 = 26 ÷ 2 = 3
The number by which you divide
10 ÷ 2 = 5
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same
Chapter 6 Vocabulary CardsChapter 6 Vocabulary Cards
unitsquare
squareunitarea
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A unit used to measure area The amount of surface a shape covers
A square with sides that are each 1 unit long
1 unit1 unit
1 unit
1 unit
square centimetersquare metersquare inchsquare foot
You can measure area by counting thenumber of unit squares needed to covera fl at surface with no gaps or overlaps.
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Chapter 7 Vocabulary CardsChapter 7 Vocabulary Cards
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roundplace value
estimatecompatible numbers
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Exact Sum: 87 Estimate: 90
A number that is close to an exact number
To replace a number with the nearest multiple of ten or hundred
28 rounded to the nearest ten is 30.
Numbers that are easy to add or subtract mentally and are close to
the actual numbers
The value of the place of a digit in a number
18 + 69 = ?
The digit 2 has a place value of 100 because it is in the hundreds place.
231
20 3025
28
150+ 200
147+ 199
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Chapter 8 Vocabulary CardsChapter 8 Vocabulary Cards
same
inverseoperations
Commutative Property of
Addition
Associative Property of
AdditionAddition
Property of Zero
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Changing the grouping of addends does not change the sum.
Operations that “undo” each other, such as addition and subtraction
or multiplication and division
The sum of any numberand 0 is that number.
Changing the order of addendsdoes not change the sum.
7 + (3 + 4) = 14
(7 + 3) + 4 = 14
So, 7 + (3 + 4) = (7 + 3) + 4.
5 + 0 = 5
48 + 0 = 48
376 + 0 = 376
6 + 5 = 11
5 + 6 = 11
So, 6 + 5 = 5 + 6.Multiplication4 × 3 = 12
Division12 ÷ 3 = 4
Addition9 + 2 = 11
Subtraction11 − 2 = 9
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unit fraction
445
ChapterChapter 1100 Vocabulary Cards Vocabulary Cards
same
whole numberswhole
unit fractionsixths
numeratorfraction
eighthsdenominator
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The whole is divided into eight equal parts, or eighths.
The part of a fraction that represents how many equal
parts are being counted.
Represents one equal part of a whole
All of the parts of one shape or group
The part of a fraction that represents how many equal
parts are in a whole.
A number that represents part of a whole
The whole is divided into six equal parts, or sixths.
The numbers 0, 1, 2, 3, and so on
denominator 1
— 6
numerator 1
— 6
The fraction 1
— 6
is a unit fraction.
1
— 6
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same
Chapter 11 Vocabulary CardsChapter 11 Vocabulary Cards
equivalent fractionsequivalent
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Two or more fractions that name the same part of a whole
Having the same value
2
— 3
= 4
— 6
8
— 8
= 1
3 = 3
— 1
2 = 4
— 2
= 6
— 3
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Chapter 12 Vocabulary CardsChapter 12 Vocabulary Cards
same
time intervalmilliliter (mL)
massliter (L)
liquidvolume
kilogram (kg)
gram (g)elapsedtime
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The standard metric unit used to measure mass
The mass of a paper clip is about 1 gram.
20 drops of liquid from an eyedropper
is about 1 milliliter.
15 minutes
30 minutes
57 minutes
42 minutes
The amount of matter in an object
An amount of time A metric unit used to measure liquid volume
The amount of time that passes from a starting time to an
ending time
A metric unit used to measure mass
30
5
10
15
2025
3536
3738
12 111210
39
4857 6 The elapsed time
is 38 minutes.
The mass of a baseball bat is about
1 kilogram.
The standard metric unit used to measure liquid volume
There is about 1 liter of liquid in the water
bottle.
The amount of liquid in a container
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Chapter 13 Vocabulary CardsChapter 13 Vocabulary Cards
same
rightanglerhombus
rectanglequadrilateral
polygonparallelogram
parallel sidesangle
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Two sides that are always the same distance apart
A closed, two-dimensional shape with three or more sides
A parallelogram with fourright angles
An L-shaped angle
A quadrilateral with two pairsof parallel sides
A polygon with four sides
A parallelogram withfour equal sides
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same
vertextrapezoid
squareside
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A quadrilateral with exactly one pair of parallel sides
A parallelogram with four rightangles and four equal sides
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same
Chapter 14 Vocabulary CardsChapter 14 Vocabulary Cards
scalepicture graph
line plotkey
frequencytablebar graph
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A table that gives the number of times something occurs
A graph that uses marks above a number line to show data values
A group of labels that shows thevalues at equally spaced grid lines
A graph that shows data using bars
The part of a graph that gives thevalue of one picture or symbol
A graph that shows data usingpictures or symbols
Two-Color Counters
Red 6
Yellow 4 Number of f lips
Colo
r
0 2 4 6 8 10
Two-Color Counters
Red
Yellow
4 5Number of feet
Elephant Trunk Lengths
6 7 8
Number of f lips
Colo
r
0 2 4 6 8 10
Two-Color Counters
Red
Yellow
Two-Color Counters
Red
Yellow
Each = 2 flips.
Two-Color Counters
Red
Yellow
Each = 2 flips.
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Chapter 15 Vocabulary CardsChapter 15 Vocabulary Cards
sameperimeter
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The distance around a figure
The perimeter of the rectangle is 14 inches.
5 in.
5 in.
2 in.2 in.
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