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Math 6 review
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The properties of operations are:
identity property
,
inverse property
,
commutative property
,
associative property
, and
distributive property.
Additive identity-
the sum of a number and 0 is the same number
Ex. 9+0=9
Multiplicative identity-
the product of a number and 1 is the original number
Ex. 5x1=5
Additive Inverse-
the sum of a number and its opposite/inverse is 0
Ex. -9+9=0
Multiplicative inverse-
the product of a number and its reciprocal is 0
Ex. 5 × 1/5 = 1
Commutative property of addition-
changing the order of addends does not change the sum
Ex. 4 + 2 = 2 + 4
Commutative property of multiplication-
changing the order of factors does not change the product
Ex. 4 × 3 = 3 × 4
Associative property of addition-
changing the grouping of addends does not change the sum.
For example, (2 + 3) + 4 = 2 + (3 + 4).
Associative property of multiplication-
Changing the grouping of factors does not change the product.
For example, (2X3)x4 = 2x(3x4).
Distributive property-
multiplying a value by its sum or difference, you will get the same result.
variable-
a letter used to represent one or more numbers in an expression or equation
constant
has a fixed value that does not change.
algebraic expression-
a variable, a number, or a combination of both that are related by any of the fundamental operations of algebra
equation-
a mathematical statement indicating that two algebraic expressions are equal
sequence-
a set of numbers written in a special order by the application of a definite rule
term-
each number or expression in a sequence
formula for average speed-
as=td/tt
surface area-
the sum of the areas of the base(s) and the lateral faces of a space figure
surface area=
lateral area + base areas
sa of rectangular prism=
2lw+2lh+2hw
sa of cube=
6s²
sa of sphere=
4πr²
sa of cone=
πrs + πr²
SA of Cylinder =
2πrh + 2πr²
SA of Triangular prism =
lp + bh
Volume of cylinder =
πr²h
Volume of cone:
πr²h/3
Volume of sphere:
4/3 πr²
Volume of pyramid:
1/3 bh
Volume of triangular prism:
(bxh)/2 h