Props & Ops
3+(2+5)=(3+2)+5
The equation above shows the
a. Identity Property of Addition
b. Commutative Property of Multiplication
c. Associative Property of Addition
d. Distributive Property
c. Associative Property of Addition
Is 1/2 a rational number? Why or why not?
Yes, because it can be expressed as a fraction
sqrt70 is between which two consecutive integers?
8 and 9
Evaluate
9^3
729
Solve.
x^2=49
x=+-7
Write an example of the distributive property.
answers will vary:
a(b+c) = a(b)+a(c)
Is the square root of 2 considered rational or irrational? Why or why not?
Give a decimal approximation of sqrt37.
approx6.1
Evaluate
root(3)(8)
2
Solve.
z^3=64
z=4
3(1/3)=1
The equation above shows this property of multiplication.
Inverse Property of Multiplication
Explain how to determine if a number is rational.
A number is rational if it can be expressed as a fraction (e.g., integers, terminating or repeating decimals, square roots of perfect squares)
Give a decimal approximation of sqrt130.
approx11.4
What is the edge length of a rubik's cube with a volume of 27 in3?
3 in
Solve.
v^3=36
v=root3(36)
Evaluate:
3^3-7+2*4^2div2
36
Is √47-14 rational or irrational? Why?
Irrational, because 47 is not a perfect square. (I+R=I)
The area of a square frame is 55 square inches. Find the length of one side of the frame to the nearest tenth of an inch.
7.4 in.
Order from least to greatet:
sqrt64, 3^3, root3(64), sqrt100, 4^2
root3(64), sqrt64, sqrt100, 4^2, 3^3
Solve.
g^2=80
g=+-sqrt80
Evaluate:
(3+15)div3-9*3+(3^2+11)
-1
is pi*0 rational or irrational? Why?
Rational, because the answer is 0, an integer.
Order from least to greatest:
sqrt17, pi, 4, 16/5
pi, 16/5, 4, sqrt17
Will a square poster with an area of 81 cm2 fit in a cube-shaped box with a volume of 700 cm3? Why or why not?
No. The poster has a length of 9 cm, so the length of the box would need to be at least 9 cm. The minimum volume of the box would need to be 93=729 cm3, which is greater than 700.
Solve.
y^3=-343
y=-7