Jeopardy

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Jeopardy
Fun with Radicals
More Fun with Radicals
Exciting Exponents
Extra Exciting Exponents
Scientific Pot Luck
Q 100
Q 100
Q 100
Q 100
Q 100
Q 200
Q 200
Q 200
Q 200
Q 200
Q 300
Q 300
Q 300
Q 300
Q 300
Q 400
Q 400
Q 400
Q 400
Q 400
Q 500
Q 500
Q 500
Q 500
Q 500
Final Jeopardy
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100 Question Fun with Radicals
What is the simplified answer for
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100 Answer Fun with Radicals
Add the coefficient of like radicals
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200 Question Fun with Radicals
What is the simplified answer for
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200 Answer Fun with Radicals
Subtract coefficient of like radicals
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300 Question Fun with Radicals
What is the simplified answer for
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300 Answer Fun with Radicals
Multiply the radicands and simplify if possible
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400 Question Fun with Radicals
What is the simplified answer for
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400 Answer Fun with Radicals
Multiply by the special 1 , then
simplify if possible
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500 Question Fun with Radicals
Graph the point on the number line.
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500 Answer Fun with Radicals
1
2
3
4
Is between and , so its square root
is between the square roots of those numbers, 2
and 3
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100 Question More Fun with Radicals
Solve
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100 Answer More Fun with Radicals
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We are looking for the positive square root of
the perfect square, 121
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200 Question More Fun with Radicals
Estimate the
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200 Answer More Fun with Radicals
About 15.2
It falls between the perfect squares 225 and 256,
so its square root is between 15 and 16. Since
227 is closest to 225, its square root is also
closer to 15 than 16.
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300 Question More Fun with Radicals
Identify each of the radicals as rational or
irrational
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300 Answer More Fun with Radicals
Irrational, They are not perfect squares so
cannot simplify to a number that can be a fraction
Rational They are perfect squares so simplify to
the integers 7 and 10. Both 7 and 10 can be
written as fractions.
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400 Question More Fun with Radicals
Simplify
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400 Answer More Fun with Radicals
Multiply the radicands, then simplify by finding
perfect square factors.
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500 Question More Fun with Radicals
Combine
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500 Answer More Fun with Radicals
Since we have like radicands, we can subtract the
coefficients
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100 Question Exciting Exponents
Simplify
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100 Answer Exciting Exponents
The negative exponent is simplified by moving
its base to the other side of the fraction bar
and making it a positive exponent. We put a 1 in
the numerator as a place holder.
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200 Question Exciting Exponents
Evaluate
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200 Answer Exciting Exponents
1. Make the exponents happy by moving their
bases to the other side of the fraction bar.
2. Simplify by multiplying the base by itself
according to the exponent
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300 Question Exciting Exponents
Evaluate
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300 Answer Exciting Exponents

1. Same base so we can Subtract the exponent.

Remember, any number to the first power is always
itself.
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400 Question Exciting Exponents
Evaluate
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400 Answer Exciting Exponents
1. Same base so we can add the exponents.
2. Now we must simplify get rid of that negative
exponent. Move the base to the other side of the
fraction bar and make the exponent positive
happy.
3. Finally, multiply the base by itself to finish
simplifying.
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500 Question Exciting Exponents
Evaluate
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500 Answer Exciting Exponents

• Simplify the negative exponent by moving its base
  
• to the other side of the fraction bar and make
  the exponent positive.
• Remember, 21 2.

2. Now, find common denominators and add the
fractions.
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100 Question Extra Exciting Exponents
What is the simplified answer for
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100 Answer Extra Exciting Exponents
Move bases with negative exponents to the other
side of the fraction bar and make the exponents
positive, happy. Bases with positive exponents
stay where they are!!
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200 Question Extra Exciting Exponents
What is the simplified answer for
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200 Answer Extra Exciting Exponents
1. The fraction reduces to
2. Move bases with negative exponents to the
other side of the fraction bar and make the
exponents positive, happy. Bases with positive
exponents stay where they are!!
3. Subtract exponents for so we have
to move that x base to the other side of the
fraction bar for our final answer.
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300 Question Extra Exciting Exponents
What is When x2 ?
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300 Answer Extra Exciting Exponents
1. Substitute 2 for the variable x and simplify
the exponent.
2. Now we have a negative exponent so we have to
move its base to the other side of the fraction
bar and make the exponent positive.
3. Multiply the base 6 by itself 3 times.
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400 Question Extra Exciting Exponents
Simplify
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400 Answer Extra Exciting Exponents
Remember, parentheses are another way of saying
multiply. 1. Bases are the same, so we can add
the exponents.
2. Since any number to the power of 1 is itself,
the answer is
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500 Question Extra Exciting Exponents
Simplify the Expressions
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500 Answer Extra Exciting Exponents
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100 Question Scientific Pot Luck
Simplify
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100 Answer Scientific Pot Luck
Step 1 simplify the fraction
Now that we simplified the fraction, we multiply
by the special 1
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200 Question Scientific Pot Luck
What is 8.6 x 10-3 in standard notation?
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200 Answer Scientific Pot Luck
Move the decimal to the left 3 spaces (exponent
tells you how far to move and which direction)
8.6 x 10-3
0.0086
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300 Question Scientific Pot Luck
What is the product of 80,000 and 90 written in
scientific notation
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300 Answer Scientific Pot Luck
Move the decimal to the left until just 1 digit
is to its left. Your exponent will be the number
of decimal hops.
7 2 0 0 0 0 0 7.2 x 106
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400 Question Scientific Pot Luck
Simplify the quotient and write the answer in
scientific notation
(9 x 107) (3 x 104)
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400 Answer Scientific Pot Luck
Subtract exponents 7-43
(9 x 107) (3 x 104)
Divide 9 3 3
(3 x 103)
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500 Question Scientific Pot Luck
How much greater is 9.4 x 103 than 7.5 x 10-2
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500 Answer Scientific Pot Luck

• 2 methods to solve.
• Adjust one of the numbers so the exponents are
  the same. Remember LARS when moving the decimal
  and changing the exponent.
• Change both numbers to standard notation.
  Subtract. Then, change the difference back to
  scientific notation. (I find this one easier
  unless the exponents are extremely big.)

• 9400.000
• .075
• 9399.925

1. Adjust to scientific notation

9.39925 x 103
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Final Jeopardy
How are you going to study for the math test
tonight?
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Final Jeopardy Answer
1. Review notes and practice problems from the
unit. 2. Work out all the problems from the
study guide and check my answers to the key I now
know is correct.