Rational Numbers on a Number Line
Define "Rational Number"
Any number that can be written as m/n
Use long division to write the number as a decimal:
7/56
0.125
Find square root of 31. Round to 2 decimal places.
5.57
What are the "Real Numbers"? (Hint: they are made up of two groups of numbers.)
All rational and irrational numbers
How many significant digits does 1.075 have?
4
Write 20.75 in m/n form
2075 or 83/4
Use long division to write the number as a decimal:
9 13/20
9.65
In between what two whole number is square root of 15?
3 and 4
What is bigger, 90/7 or square root of 164
90/7
How many significant digits does 4.5600 have?
5
-48/100 or -12/25
Use long division to write the number as a decimal:
100/11
9.090909...
Write a rational approximation of square root of 15 correct to 2 decimal place.
3.8 < 3.87 < 3.9
Graph square root of 49 on a number line
See student work
How many significant digits does 0.0054 have?
2
Write 60% in m/n form
60/100 or 3/5
Use long division to write the number as a decimal:
-2 9/55
-2.1636363...
Find the absolute value of -pi
(pi=3.1415....)
pi or 3.1415....
a square has an area of 72 square inches, what is the length of one side to two decimal places?
8.5 inches
Round 4,567 to 3 significant digits?
4,570
Find the absolute value of each of the following numbers. Which one is further from 0 on the number line:
-15/4 or 18/7
15/4 and 18/7, -15/4 is farther on the number line
Use long division to write the number as a decimal:
47%
0.47
Is the product of a rational number and an irrational number rational or irrational? Why?
Irrational because irrational numbers are non-terminating or non-repeating decimals, so when multiplied by a rational number, it will still be nonterminating and nonrepeating.
Rational are terminating or repeating, .075
Irrational are nonterminating or nonrepeating, 3.1415...
Round 0.0578 to 2 significant digits
0.058