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Extension #1 Multiplication & Division
Math VocabularyNumbers & Operations M6.A
Algebraic Concepts M6.DAligning with Pennsylvania Department of Education
Assessment Anchorsand enVision Math Textbook
Topics 3-6, 3-7, 5-1 through 5-8, 6-5
©2011-2014 Caryn Dingman
www.mrsdingman.com
2
base
Extension #1 Multiplication & DivisionenVision Topics 3-6, 3-7, 5-1 through 5-8, 6-5
PA Assessment Anchors M6.A & M6.D
* a number that is multiplied by itself when raised to a powerexample:
* this means to multiply “3” 4 times* 3 X 3 X 3 X 3
3
exponent
Extension #1 Multiplication & DivisionenVision Topics 3-6, 3-7, 5-1 through 5-8, 6-5
PA Assessment Anchors M6.A & M6.D
* a number that tells how many times the base number is used as a factor
example:
* this means to multiply 2 “3” times* 2 X 2 X 2
4
exponential notation
Extension #1 Multiplication & DivisionenVision Topics 3-6, 3-7, 5-1 through 5-8, 6-5
PA Assessment Anchors M6.A & M6.D
* may also be called exponent form OR exponential expression
examples:
exponential notation
5
expanded form (exponents)
Extension #1 Multiplication & DivisionenVision Topics 3-6, 3-7, 5-1 through 5-8, 6-5
PA Assessment Anchors M6.A & M6.D
* a way to write a number with exponents that shows the base number as a factor
example:
“2 X 2 X 2 X 2”
is expanded form of 24
6
standard form (exponents)
Extension #1 Multiplication & DivisionenVision Topics 3-6, 3-7, 5-1 through 5-8, 6-5
PA Assessment Anchors M6.A & M6.D
* common way to write a number
example:
“16”
is standard form of 24
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squared
Extension #1 Multiplication & DivisionenVision Topics 3-6, 3-7, 5-1 through 5-8, 6-5
PA Assessment Anchors M6.A & M6.D
* a name for a number to the second power
example:
* a name for a number multiplied by itself or used as a factor 2 times
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cubed
Extension #1 Multiplication & DivisionenVision Topics 3-6, 3-7, 5-1 through 5-8, 6-5
PA Assessment Anchors M6.A & M6.D
* a name for a number to the third power
* a name for a number multiplied by itself or used as a factor 3 times
this means cubed or to the third power
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exponent rules
Extension #1 Multiplication & DivisionenVision Topics 3-6, 3-7, 5-1 through 5-8, 6-5
PA Assessment Anchors M6.A & M6.D
* any number to the first power = itself
* any number to the zero power = one
10
order of operations
Extension #1 Multiplication & DivisionenVision Topics 3-6, 3-7, 5-1 through 5-8, 6-5
PA Assessment Anchors M6.A & M6.D
* the order in which operations are done to find an answer or solution
in order, left to right
in order, left to right
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order of operations
Extension #1 Multiplication & DivisionenVision Topics 3-6, 3-7, 5-1 through 5-8, 6-5
PA Assessment Anchors M6.A & M6.D
examples: