Group 6

Scientific Notation

100

What is 23*10⁴?

230000

200

What is 4000000 in scientific notation?

4*10⁶

300

1.93*10⁶

1930000

400

There are several books sold around the world. The Hobbit is one of the most popular and has sold 100 million copies. Charlotte's web has sold 50 million copies. Write how many copies each of these books has sold in scientific notation.

The Hobbit - 1*10⁸

Charlotte's Web - 5*10⁷

500

Many people in the world have cars and in fact, there are about 1 billion cars that roam the streets of today. The Ford F-Series has been sold 1,000,000 times in the United States. Put that in Scientific Notation. Suppose a car has reached that feat 13 times. Calculate how many cars have been sold in total in scientific notation.

1*10⁶

1.3*10⁷

Denominator Rationalizing

100

√6/√3

3√2/3

200

√17/√12

2√51/12

300

6/√8-3

-12√2-18

400

√10/5√2+3√5

2√5-3√2

500

3√8-5√6/2√8+3√6

69-38√3/-11

Simplify Radicals

100

√32

4√2

200

√64+√50

8+5√2

300

√294x⁴

7x²√6

400

(√29+√49+√x²)/12

(√29+7+x)/12

500

5√224x⁶y³

20x³y√14y 

Multiply Exponents

100

(10x²)(x³)

10x⁵

200

(7x²+9y+3-49)⁰(2718³+373*72)⁰

1

300

(x³+y⁴)(x⁷+y²)

x⁷y⁴+x¹⁰+y⁶+x³y²

400

(x⁷+y⁹+x)(x⁴+y+y²)

x⁴y⁹+x¹¹+y¹¹+y¹⁰+x⁷y²+x⁷y+x⁵+xy²+xy

500

Bob loves to buy candy. He buys a collection of candy from the candy store across the street. He pays $45 for (x²+14+x) pieces of candy. He then decides that he wants more candy and multiplies his candy collection by (x³+49+x+x¹⁷). How much candy does Bob have now?

x¹⁹+x¹⁸+14x¹⁷+x⁵+x⁴+15x³+50x²+63x+686

Divide Exponents

100

x⁸/x³

x⁵

200

x⁷/x⁴+x³

x⁴/x+1

300

x⁵/x³*x

x

400

x²+y⁹+32/x+y⁴+7

y⁵+x+32/7

500

(√73+49²-99/64³-94+x²)⁰

1