Real Number System
Estimating Square Roots
Exponent Rules
Scientific Notation
Square and Cube Roots
100
Write all the names that apply to the number. (Not Real, Real, Irrational, Rational, Integers, Whole, Natural) 23
Real, Rational, Integer, Whole, Natural
100
The square root of 10 is between which two whole numbers?
3 & 4
100
Simplify. Your answer should contain only positive exponents. (^ means to the power of) 7^8 x 7^-2
7^6
100
Write the number in scientific notation. 1,045,000,000
1.045 x 10^9
100
The area of a square is 36 meters square. What is the length of a side?
6 meters
200
Write all the names that apply to the number. (Not Real, Real, Irrational, Rational, Integers, Whole, Natural) -3.7
Real, Rational
200
The square root of 73 is between which two whole numbers? Between which two numbers to the tenths place
8 & 9 8.5 & 8.6
200
(5^3) / (5^7)
1 / (5^4)
200
Write the number in scientific notation. 0.00000813
8.13 x 10^-6
200
The area of a square is 2,521 centimeters square. What is the length of one side.
approximately 50.2 centimeters
300
Write all the names that apply to the number. (Not Real, Real, Irrational, Rational, Integers, Whole, Natural) Pi
Real, Irrational
300
The square root of 30 is between Whole numbers _________ & __________ Tenths __________ & ___________ Hundredths _____________ & _____________
5 and 6 5.4 and 5.5 5.47 and 5.48
300
(6^8)^9
6^72
300
Write the number in scientific notation. 30
3 x 10^1
300
The volume of a cube is 125 inches cubed. What is the length of one side?
5 inches
400
Order the numbers from least to greatest. 6/2, Square root of 16, -1.8, Square root of 10
-1.8, 6/2, Square root of 10, Square root of 16
400
The square root of 108 is between Whole numbers _________ & __________ Tenths __________ & ___________ Hundredths _____________ & _____________ Thousandths ____________ & _____________
10 and 11 10.3 and 10.4 10.39 and 10.40 10.393 and 10.392
400
(2^3 x 2^-9) / (2^5)
1 / (2^11)
400
Write the number in standard form. 8.245 x 10^5
824,500
400
The volume of a cube is 60,285 feet cubed. What is the length of one side?
Approximately 39.2 feet
500
Tell if each number is real or not real. (1) 0 (2) 8/0 (3) Pi (4) 6/5 (5) Square root of -4
1. Real 2. Not Real 3. Real 4. Real 5. Not Real
500
The square root of 20 is between Whole numbers _________ & __________ Tenths __________ & ___________ Hundredths _____________ & _____________ Thousandths ____________ & _____________
4 and 5 4.4 and 4.5 4.47 and 4.48 4.472 and 4.473
500
(9^4 x 9^-4) / ((9^2)^7)
1 / (9^14)
500
Write the number in standard notation. 9.271 X 10^-8
0.00000009271 (Count the zeros AFTER the decimal point!)
500
The volume of a cube is 64 meters cubed. Asma says that the length of one side is 8 meters while Fatima says that the length of one side is 4 meter. Who is correct and what was the error?
Fatima is correct because 4^3=64. Asma found the square root of 64, 8^2 = 64.
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