Approximate Irrational Numbers (Part I)
What is the approximate value of sqrt10 on a number line to the nearest tenth?
approx 3.2
What is the approximate value of sqrt2 on a number line to the nearest hundredth?
approx 1.41
Simplify your answer using exponents: ( 5^2)^5
5^10
Label the numbers as rational or irrational:4.7575..., sqrt5 ,pi , 2, 2.54367...
Rational: 4.7575..., 2 and Irrational: sqrt5 ,pi ,2.54367...
Solve: x + 5 = 12
x=7
How many solution does the equation have: 3x + 7-2x = 2+x + 5 ?
infinitely many solutions
What is the approximate value of sqrt50 rounded to the nearest tenth?
≈ 7.1
What is the approximate value of sqrt18 on a number line to the nearest hundredth?
approx 4.24
What is 4^5/4^3 expressed using properties of exponents?
4^(5-3) = 4^2
True or False:
4>sqrt20
False
An equation is given. 12 + x = 30 + 3x Is -9 a solution to the equation?
Yes 3=3
How many solution does the equation have: 3x = 2x + 4
one solution; x=4
What is the approximate value of sqrt78 rounded to the nearest tenth?
approx 8.8
What is the approximate value of sqrt66 on a number line to the nearest hundredth?
approx 8.12
If 5^n=1 , what is the value of n?
n=0
True or False: 14<5pi
True
Evaluate: 3x− 4 < 2x + 5
x < 9
Solve and classify: 2 ( x − 1 ) + 3 = 2 x + 1
infinitely many solutions
What is the approximate value of sqrt115 rounded to the nearest tenth?
approx 10.7
What is the approximate value of sqrt123 on a number line to the nearest hundredth?
approx 11.09
What is 3^-3 simplified?
1/3^3 = 1/(3*3*3) = 1/27
Place the numbers in order from least to greatest: 5.38, sqrt17, 4.3, pi
pi, sqrt17, 4.3, 5.38
If 2 ( x− 3 ) + 4 ≥x + 5 , what is the solution for x?
x >=7
Solve and classify: 36 - 7p = -7(p - 5)
No solution
What is the approximate value of sqrt200 + 3 rounded to the nearest tenth?
approx 14.1 + 3 which is approx 17.1
What is the approximate value of sqrt305 on a number line to the nearest hundredth?
approx 17.46
Evaluate 5^4 *(5^(–3))^2 using positive exponents.
5^4*5^(-6) = 5^(4-6) = 5^(-2) = 1/(5^2)
Place the numbers in order from least to greatest: 8.2, sqrt64, 8.34, sqrt66
sqrt64, sqrt66, 8.2, 8.34
A chipmunk and a squirrel dig holes to hide acorns. A chipmunk hides 3 acorns in each hole he digs. A squirrel hides 4 acorns in each hole he digs. They hide the same number of acorns, but the squirrel needs 4 fewer holes than the chipmunk. How many acorns did the chipmunk hide? Write a linear equation and then solve.
4x = 3(x + 4) The chipmunk hid 48 acorns.
Jordan states that the given equation has one solution. 6 ( x + 2 ) − 4 x = 2 x + 12 Do you agree or disagree? Justify your answer.
Disagree. Jordan said the equation has one solution, but in fact, it has infinitely many solutions because both sides are identical after simplification.