Square Roots
√9 = ?
3
√9= 3^2 = 3x3
Write 66/16 as a terminating decimal
4.125
Terminating decimal
8
Rational
Put these three numbers in order from least to greatest.
2.3, 2⅚, 2.14
2.14, 2.3, and 2⅚
Is 0 rational or Irrational?
Rational
√20 = ?
4.5
√20 is between √16 (42) and √25 (52)
4.12= 16.81 4.22=17.64 4.32= 18.49 4.42=19.36
4.52= 20.25
Write this improper fraction as a decimal:
22/15
1.4666̅
Repeating Decimal
π (pi)
Pi (π) is an irrational number
It doesn't terminate or repeat
Put these four numbers in order from Greatest to Least.
-4, 1/2, 3.7, and √5
3.7, √5, 1/2, and -4
Where would 1⅗ be located on a number line?
(Write it on your wipe board)
1⅗ =1.6
Miss T incorrectly said that √46 is 23. What did Miss T do incorrectly? and what is the √46 (rounded to the nearest tenth)?
Miss T divided 46 by 2 instead of taking the square root.
√46 = 6.8
Change 1/6 to a decimal. Is 1/6 greater than, less than or equal to 0.178 ?
1/6 = 0.166
So 1/6 is LESS THAN 0.178
-8/6
Rational Number
Its a number that can be found on a number line
Put these Numbers in order from greatest to least.
√34, 4⅔, √15, 5.14
√34, 5.14, 4⅔, and √15
If x=36 and y=25, is √x+y rational or irrational? Simplify your answer.
√x+y = √36+25 = √61
√61 is not a perfect square so its irrational
The height of a tree is √85 ft tall. Between which two consecutive whole numbers is √85?
√85 is between 9 and 10
92 = √81
102 = √100
Compare 7/33 and 2/11. (Hint change to decimals)
Is 7/33 greater than, Less than, or equal to 2/11
7/33= .212121
2/11 =.181818
7/33 > 2/11 (Greater than)
is .787129383279492..... a rational or irrational number and WHY?
Irrational Number
This is a decimal that doesn't terminate or repeat so it is irrational
Put these numbers from least to greatest:
-.07, -√5, -2/9, -2.9, and -37/10
-37/10, -2.9, -√5, -2/9, and -.07
The numbers 1.2222... and 2.33333... are both rational numbers. Which of the following numbers is an irrational number that is located in between these two rational numbers.
A. 1.1451444... B. 1.45
C. 2.146146146̅ D. 2.1464466...
D. 2.1464466.. is a Irrational number that is located in between 1.222 and 2.3333
The length of the bus is √124 ft. Will the bus fit in a garage that measures 11 ft long, if not what is the minimum length the garage must be to fit this bus. Round to the nearest whole number.
No, The bus will not fit in the garage, the minimum length of the garage to fit the bus must be 12ft long.
√121 < √124 < √144
112= √121 122= √144
4 friends want to drive to the park. Park A is 3.4 miles from Tom's house. Park B is 15/8 miles from Tom's house. Which park is closers to Tom's house.
Park B is close to Toms House
15/8 = 1.875 miles
Is √72 a rational or irrational number and WHY?
Irrational Number
√72 is not a perfect square so it is irrational.
Put these numbers in order from least to greatest.
5.2, √16, √21, 4.1, 4⅚, and 4.7
√16, 4.1, √21, 4.7, 4⅚, and 5.2
Where would √33 be located on a number line. Round to the nearest tenth and write it on your wipe board.
√33 = 5.7