Math 2
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MATHEMATICS UNIT 2 EXPONENTS SQUARES AND SQUARE ROOTS ORDER OF OPERATIONS FACTORS AND DIVISIBILITY COMPOSITE AND PRIME FACTORS
EXPONENTS 1 FACTORS A factor is a number that, when multiplied by another number, yields a third number as a product.
FACTOR
FACTOR
PRODUCT
EXPONENTS 2 EXPONENTS ARE MADE UP OF TWO DIFFERENT NUMBERS, A BASE AND AN EXPONENT.
3
Exponent
Base The exponent tells you to multiply the base number by itself using a certain number of factors.
EXPONENTS 3 3
MEANS 3 FACTORS
PRODUCT
MOST COMMON MISTAKE
3
DOES NOT MEAN
EXPONENTS 4 5 4 2
=
SQUARES AND SQUARE ROOTS A NUMBER THAT CAN BE EXPRESSED AS A PRODUCT OF TWO IDENTICAL FACTORS IS CALLED A SQUARE
Two Identical Factors
Square
SQUARE ROOT The square root of a number, such as 49, is the number that, when multiplied by itself, produces 49. The square root of 49 is 7 since 7 multiplied by itself produces 49 This is the symbol for a square root
SQUARE ROOT 64 25
100
36
729
144
16
ORDER OF OPERATIONS BEDMAS P Brackets P Exponents P Division P Multiplication P Addition P Subtraction
In the order of appearance from left to right In the order of appearance from left to right
FACTORS AND DIVISIBILITY A factor is a number that, when multiplied by another number, produces a third number called a product. Think of all the numbers that multiply together to produce 24:
1 x 24 2 x 12 3x8 4x6
24 is divisible by all of these numbers. They are the factors of 24. 1,2,3,4,6,8,12,24
PRIME AND COMPOSITE NUMBERS PRIME NUMBERS
A prime number has only two factors meaning that only two numbers will multiply together to produce that number. (1 and the number itself)
1 x 17 = 17 1 and 17 are the only numbers that multiply together to produce 17. Therefore, 17 is a prime number.
PRIME AND COMPOSITE NUMBERS COMPOSITE NUMBERS
A composite number is a number with two or more factors.
1x8=8
2x4=8
1,2,4, and 8 are all factors of 8. Therefore 8 is a composite number.
EXPONENTS 1 FACTORS A factor is a number that, when multiplied by another number, yields a third number as a product.
FACTOR
FACTOR
PRODUCT
EXPONENTS 2 EXPONENTS ARE MADE UP OF TWO DIFFERENT NUMBERS, A BASE AND AN EXPONENT.
3
Exponent
Base The exponent tells you to multiply the base number by itself using a certain number of factors.
EXPONENTS 3 3
MEANS 3 FACTORS
PRODUCT
MOST COMMON MISTAKE
3
DOES NOT MEAN
EXPONENTS 4 5 4 2
=
SQUARES AND SQUARE ROOTS A NUMBER THAT CAN BE EXPRESSED AS A PRODUCT OF TWO IDENTICAL FACTORS IS CALLED A SQUARE
Two Identical Factors
Square
SQUARE ROOT The square root of a number, such as 49, is the number that, when multiplied by itself, produces 49. The square root of 49 is 7 since 7 multiplied by itself produces 49 This is the symbol for a square root
SQUARE ROOT 64 25
100
36
729
144
16
ORDER OF OPERATIONS BEDMAS P Brackets P Exponents P Division P Multiplication P Addition P Subtraction
In the order of appearance from left to right In the order of appearance from left to right
FACTORS AND DIVISIBILITY A factor is a number that, when multiplied by another number, produces a third number called a product. Think of all the numbers that multiply together to produce 24:
1 x 24 2 x 12 3x8 4x6
24 is divisible by all of these numbers. They are the factors of 24. 1,2,3,4,6,8,12,24
PRIME AND COMPOSITE NUMBERS PRIME NUMBERS
A prime number has only two factors meaning that only two numbers will multiply together to produce that number. (1 and the number itself)
1 x 17 = 17 1 and 17 are the only numbers that multiply together to produce 17. Therefore, 17 is a prime number.
PRIME AND COMPOSITE NUMBERS COMPOSITE NUMBERS
A composite number is a number with two or more factors.
1x8=8
2x4=8
1,2,4, and 8 are all factors of 8. Therefore 8 is a composite number.
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