Squares/Square Roots
A square has an area of 16 ft2. How long is one side of the square?
4 ft
Write the following number in standard form:
3.4 x 105
340,000
When thinking about the difference between a rational number and an irrational number, it is important to remember that rational numbers can be turned into _________ form and irrational numbers cannot.
fraction
Which of the following correctly completes the inequality below?
5.67 < x < 8
A. 4
B. 5
C. 7
D. 9
C. 7
Put the numbers in order from least to greatest.
5 , 7 , -3 , -1, 0
-3 , -1 , 0 , 5 , 7
A square shaped backyard has an area of 342.25 square yards. How long is one side of the backyard in yards?
18.5 yards
Write the following number in standard form:
7.135 x 10-4
0.0007135
Is pi considered rational or irrational?
irrational
Which of the following correctly completes the inequality below?
x < -2
A. -1
B. -3/2
C. 0
D. -8.15468
D. -8.15468
Write the numbers in order from greatest to least.
56/4 , 5.5 , 32 , 9.4789
56/4 , 9.4789 , 32 , 5.5
A square shaped picture frame has an area of 127 square inches. How long is one side of the picture frame, rounded to the nearest tenth of an inch (one place past the decimal).
11.3 inches
Write the following number in scientific notation:
61,200,000
6.12 x 107
Perfect square roots, such as the square root of 64, are rational or irrational?
rational
Write a number that would complete the inequality below:
7/4 > x > 0
Answers will vary. Must be greater than 0 but less than 1.75
Write the numbers below in ascending order.
-25/2 , 3 , -12 , Square root of 20
-25/2 , -12 , 3 , Square root of 20
Square A has an area of 225 cm2. Square B has an area of 361 cm2. How much longer is the side length of Square A than Square B?
4 cm
Write the following number in scientific notation:
0.0000381
3.81 x 10-5
How would you classify -5?
A. Integer
B. Rational
C. Real Number
D. All the above
D. All the above
Come up with a square root that will correctly complete the inequality below:
0.5 < x < 1,200%
Answers will vary. Must be a square root that will solve to be greater than 0.5 but less than 12.
Write the numbers in descending order.
-0.1 , 1/2 , -3/20 , 0.4 , 9%
1/2 , 0.4 , 9% , -0.1 , -3/20
A square shaped dog run has an area of 105 square feet. What is the approximate perimeter of the dog run, rounded to the nearest foot(whole number)?
41 feet
How much greater is 4.6 x 105 than 9 x 103? Write your final answer in scientific notation.
4.51 x 105
Rational and irrational numbers make up a broader category called __________________ .
real numbers
Write a percent that makes the inequality true?
0.08956201 < x < 1/9
Answers will vary. Should be about 9% or 10%.
Several friends ran a race against each other. The times are listed below, in seconds. List the people in order from fastest to slowest.
John: 8.2
Zion: 8.17358
Robert: 17/2
Will: Square root of 70
Hector: 8
Hector, Zion, John, Will, Robert