Mariah can spin a basketball on her finger for a quarter of an hour, Chita can spin one for 10 minutes, and Dakara can spin one for 650 seconds? Who can spin the basketball on her finger the longest?
We need to put all these different ways of measuring time in the same unit.
Watch This
Watch the middle part of this video, from about 3:15 to 7:30.
Guidance
Real numbers can be listed in order even if they are different types of real numbers. The easiest way to do this is to convert all the real numbers into decimals.
Example A
Plot
Solution: One way to compare numbers is to use a number line. To plot these numbers, convert them all to decimals.
Depending on your scale, you can have hash marks at halfvalues or only even values. The placement of each number on the number line is an approximate representation of each number.
Example B
List
Solution: First, write each number as a decimal.
Finally, exchange the decimals with the original numbers:
Example C
Replace the blank between
Solution: Write both numbers in decimals.
Intro Problem Revisit To compare these different measurements of time, let's put them all in minutes. A quarter of an hour is a quarter of 60 minutes or
Guided Practice
1. List
2. Compare
Answers
1. Write all the real numbers as decimals.
2.
Explore More
Plot the following numbers on a number line. Use an appropriate scale.

−1,0.3,2√ 
−14,−212,3.15 
1.4,56,9√ 
−6√,43,π
Order the following sets of numbers from least to greatest.

−4,−92,−13,−14,−π 
0,−12,45,16,−13−−√
Order the following sets of numbers from greatest to least.

3.68,412,5,31112,10−−√ 
−2,−65,−114,−5√,−3√
Compare each pair of numbers using <, >, and =.

−14−−−−−38 
8√−−−−2.9 
−289−−−−−2.75 
1015−−−−812 
−50−−√−−−−−52√ 
156−−−−1.95 
Calculator Challenge Locate the button
e on your scientific calculator.e is called the natural number and will be used in the Exponential and Logarithmic Functions chapter. Press the
e button. What ise equivalent to?  What type of real number do you think
e is?  Which number is larger?
e orπ ?  Which number is larger?
e or7√ ?
 Press the