The Real Numbers
Counting numbers are also called...
Natural Numbers
Which symbol goes in the blank? <, >, or =
157% _____ sqrt227
What is the > symbol?
RATIONAL OR IRRATIONAL? Explain your reasoning.
3.216
RATIONAL because it terminates.
x^2=121
What is 11, -11?
sqrt36=
6
Real Numbers are divided into 2 main sets:
Rational and Irrational Numbers
Which symbol goes in the blank? <, >, or =
3pi _______ sqrt89
What is the < symbol?
What set(s) of numbers does -sqrt81 fall into?
Natural, whole, integers, rational
RATIONAL, INTEGER
If x^2=16 find x^3 .
64
+-sqrt25=
5, -5 or
+-5
Rational Numbers are rational because they can be expressed as __________
Ratios a/b where a and b are integers, but
bne0.
(fractions)
Order the set {3 1/2, 10/3, pi, sqrt13} from least to greatest.
pi,10/3,3 1/2, sqrt13
pi
IRRATIONAL
DAILY DOUBLE
If a square garden has an area of 289, how long is one side of the fence?
17
root3(-8)=
-2
Rational numbers can have ______ decimals or _______ decimals.
repeating or terminating
Which number makes this sentence true?
32 > __________ > 165%
sqrt(11), 18/6 , 1 1/2
18/6
CAN 4.3232... BE WRITTEN AS A RATIO OF INTEGERS? IF SO, WHAT IS THE RATIO?
YES;
4 32/99
x^3=-64
x=-4
Estimate sqrt12 to the closest integer.
3
All Irrational Numbers have these 'non" characteristics with regards to their roots.
non-perfect roots
Identify the number that does not belong in the group. Explain your reasoning.
-23.bar2 or -23 1/5 or -sqrt23 or
-sqrt23
because it is about -4.8 when all of the others are about 23.
Is sqrt2/2 rational or irrational?
IRRATIONAL
The height h in feet that a pole vaulter can reach can be estimated using the formula
h=v^2/20
, where v is the velocity of the athlete in feet per second. If the height for a women’s pole vault is about 9.8 feet, about how fast was the holder running?
14 feet per second
Estimate root3(293) to the nearest tenths place.
6.6