Real Numbers
What type of number is 0: natural, whole, integer, rational, irrational, or real? Give the smallest set it belongs to.
Whole number
Find the square root of 81
9
Write 4,500,000 in scientific notation
4.5 x 10 6
Simplify a4 x a3
a7
Find the hypotenuse
a = 6
b = 8
c = ?
c = 10
What type of number is -7?
Integer
Find the cubed root of -343
-7
Write 6.2 x 10-4 in standard form
0.00062
Simplify a9 / a5
a4
Find the missing leg
c = 13
a = 5
b = 12
Is the square root of 10 rational or irrational?
Irrational
Find the square root of 169/121
13/11
Write 0.000000400068 in scientific notation
4.00068 x 10-7
Simplify (2x3y2)3
8x9y6
Do 8, 15, and 17 form A right triangle? Prove it.
Yes. 82 + 152 = 172
Name all sets that -3/4 belongs to from: natural, whole, integer, rational, irrational, real
Rational, and Real
Between which two whole numbers does the square root of 684 lie between?
26 and 27
Write 4.008 x 103 x 10-6 in standard form
Simplify (a-6/a-11)3
a15
A right triangle has legs 12 and 16. Find the hypotenuse then determine whether it forms a Pythagorean triple.
20, yes it is a Pythagorean triple because 12-16-20 are all whole numbers.
Put these numbers into rational and irrational groups:
square root of 25, square root of 7, -4/9, 0.75, pi
Rational: square root of 25, -4/9, 0.75
Irrational: Square root of 7, pi
Between which two whole numbers does the cubed root of -3,568 lie between?
-15 and -16
Write (6 x 10 -18) x (8 x 1022) in standard form
48000
Simplify and leave no negative exponents:
6x-2y5 / 2xy7
3/x3y2
Geometry Challenge: A triangle has points A(0,0), B(3,4), and C(7,1). Use the distance formula to fin AB, BC, AC. Then use the Pythagorean theorem to determine whether the triangle is a right triangle.
AB = 5
BC = 5
AC = square root of 50
Yes it is a right triangle.