Classifying Numbers
Classify the number into the best category
pi
Irrational
Define closure
When two numbers from the same classification combine under some operation and remain in the same classification
What is the value of the expression
36^(3/2
216
How many significant digits are in 0.0065
2
Something is accurate when...
a group of measures is close to the actual measure
Classify the number into the best category
7/2
Rational
Is the following expression closed?
sqrt6+sqrt3
Yes
What is the value of the expression
49^(-1/2
1/7
How many significant digits are in 3.02
3
Something is precise when...
a group of measurements is close together
Classify the expression into the best category
sqrt16-4 1/3
Rational
Is this expression closed?
2pi-2pi
Write the expression in simplest form
(8x^3)^(2/3)
4x^2
How many significant digits are in 55.0020
6
Something is measured at a length of 2.5 inches. What is the range of values inches for the actual measurement?
2<x<3
Classify the expression into the best category
sqrt49+2
Natural
Give an example of two rational numbers closed under multiplication
Responses may vary
What is the following expression in simplest form
(27x^3y^6z^8)^(1/3)
3xy^2z^2z^(2/3)
Find the value of the expression using the rules of calculations for significant digits
9.2+4.36
13.6
How many miles did Brock walk? Use the rules of significant digits.
1.4 miles
List all of the ways that this expression can be classified
0*sqrt3
Real, Rational, Integer, Whole
Give an example of two irrational numbers not closed under multiplication
Responses may vary
Write the following expression in simplest terms
sqrt(x^3y^2)*sqrt(x^4y^5)
x^3y^3sqrt(xy
Find the value of the expression using the rules of calculations for significant digits
25/12
2.1
Brock is taking a walk to the store. He walks 1.1 miles, stopped to tie his shoes, then walks 1.25 miles to the store. It took Brock 0.75 hours total.
What is Brock's average rate of speed? Use rules of significant digits.
1.8 miles/hour