Lesson 1&2
What's the difference between irrational and rational numbers?
What is, a rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction.
What is the formula for square root?
What is, √y = y½
What is a rational number?
What is, any number that can be written as a fraction, where both the numerator and the denominator are integers, and the denominator is not equal to zero?
Explain what an integer exponent is.
What is, the positive integer exponents describe how many times the base number should be multiplied by itself and a negative exponent means repeated division by the base
What is the definition of Scientific Notation?
What is a way of writing very large or very small numbers?
Is pi greater than, less than, or equal to 3 6/50?
What is greater than?
Ramona says the square root of 144 is equal to the square root of -144. Explain Ramona's error and identify the possible square roots of each value.
What is you can't find the square root of a negative number
Consider the expression 16.48 - (2.7 x 5) + 18.29
A. Estimate the answer.
B. find the actual answer.
A. 34-15=19
B. 21.27
Write the repeated multiplication 12 x 12 x 12 x 12 as an expression with an exponent. How did you know what exponent to write?
What is,
12 to the 4th power because the power means whatever the number times itself 4 times.
Write 0.00052 in scientific notation.
5.2 x 10 to the 4th power.
Which fraction is equivalent to 0.41 repeating?
a. 41/100
b. 37/90
c. 41/99
d. 4/9
What is, c
The length of a rectangular garden is three times its width, w. The area of the garden is 300m2 squared. Explain why the expression 3w2 squared represents the area of the garden.
What is, (3w)(w)=3w2 squared.
Anna's college tuition payment is automatically withdrawn from an account used only to pay tuition. At the beginning of the year, the balance in this account is 13,287.48. After the same account is withdrawn each month for a year, the balance is 1,449.84. How much is Anna's college tuition payment each month? Estimate to show that your answer is reasonable.
What is, 986.42
Use repeated multiplication to write 4 to the 3rd power times 4 to the 4th power as a single power of 4. A single power has one base with one exponent.
What is,
4 to the 7th power
Write 64,500 in scientific notation.
What is 6.45 x 10 to the 4th power
What is the fact 0.09 repeating = 1/11 to write 0.27 repeating as a fraction?
What is, 3/11
The area of a square rug is 144 square feet. What is the perimeter of the rug?
What is, 48 ft
The temperature of an oven increases at a rate of 30'f per minute. It takes 9.2 minutes for the oven to reach a temperature of 350'F. What is the starting temperature of the oven?
Estimate to show your answer is reasonable.
What is, 11
Evaluate 6 to the zero power times 10 to the negative 5th power.
What is, 1/10 to the negative 5th power
What is the scientific notation of 0.000000608?
What is, 6.08 x 10 to the negative 7th power.
Write 0.104repeating as a fraction.
What is, 47/450
The area of a square is between 100 and 250 square centimeters. Which could be the side length of the square? Select all that apply
a. 9.5 centimeters
b. 11 centimeters
c. square root of 12 Centimeters
d. 13.5 centimeters
e. square root of 225 centimeters
f. square root of 300 centimeters
What is,
b, c, e
Which expression is best approximated by the value 12?
a. (3 1/4 + 2 2/3) x 3
b. 18.79 + (-9.6) + (-1.050)
c. 17 - 11 3/5 + 1 1/2 + 2 5/8
What is, B
Is this equation true or false?
(3 to the 2nd power x 9 to the second power) to the zero power = 27 to the 4th power
What is, false.
Write the scientific notation to 0.000000092.
What is, 9.2 x 10 to the negative 8th power