Comparing Real Numbers
Is 7.5 Rational or Irrational and why?
Rational because it is a terminating decimal.
The √52 is between which two integers?
The square root of 52 is between 7 and 8 because it is between √49 and √64.
-24 – (-18)
-6
What does 34 mean?
3 x 3 x 3 x 3
Kim said that 4.353553555... was a rational number because it has a pattern. Is she correct? How do you know?
No, the pattern must be consistent. It is an irrational number.
Compare √10 _____ 7/2
√10 < 7/2
What is √121 - √9
11 – 3 = 8
What is 3 7/8 as a decimal and a percent?
387.5% and 3.875
a5 ∙ a8
a13
Mrs. Brandt could buy a large box of 28 glue sticks for $24.94, or she could get a four pack for $3.28. Which is the better buy and by how much?
The 28 glue sticks are $0.89 per stick. The small pack is $0.82 per stick. She saves $0.07 per stick if she buys the 4 pack.
Compare 4/5 _____ 70%
4/5 > 70%
What is √60?
Approximately 7.7
-9 – (-8) + 2 (4)2
31
b10 / b
b9
The Vans are regularly $64.25, but are on sale for 30% off. How much are the Vans after 7% tax?
$48.12
Place 4/3 on the number line.
As a mixed number it is 1 1/3, which is between 1 and 2.
x2 = 225
Answer Here: The solution is both 15 and -15.
8/15 ÷(-4/5)
-2/3
(m5)6
m30
The student council wanted to decorate a display with ribbons. They have 48 feet of ribbon and want to cut it into 2 2/3 foot pieces. How many pieces will they have?
18 pieces
Compare 23 ____ √81
23 < √81
x2 -14 = 130
The solution is both 12 and -12.
-3 1/4 + 6 2/3 - 5/6
2 7/12
x4 / x12
1/x8
In Gavin's history class, 1/6 of the students are making an iMovie and 2/3 are making a poster. What fraction of the class has chosen the 3rd option?
1/6