Scientific Notation to Standard Notation
From Standard Notation to Scientific Notation
Scientific Notation
Operations w/ Scientific Notation
Miscellaneous
100

Convert to standard notation: 8.923 X 10^2

892.3

100

Convert to scientific notation: 234000

2.34 X 10^5

100

Is the following expression written in scientific notation? If not, explain why. 3.25 + 10^-7

No, it should be multiplied, not added.

100

Solve the expression. Write your answer in scientific notation. 

) 4 × 10^4 / 3.63 × 10^−4

1.10192837 x 10^8

100

The    speed    of    light    is    approximately    6.71×10^8 miles    per    hour.    

 Express  this number in standard  form.

671,000,000

200

Convert to standard notation: 987 X 10^5

98,700,000

200

Convert to scientific notation: 25,360

2.536 X 10^4

200

The mass of Jupiter is approximately 1,900,000,000,000,000,000,000,000,000 kg. Write the mass of Jupiter in scientific notation.

1.9 x 10^27

200

Solve the expression. Write your answer in scientific notation. 

 (2.32 × 10^−6) x (4 × 10^−5) 

9.28 × 10^−11

200

Shelly's work is shown below: (5^4) X (5^-3) = 5 Is Shelly correct? Explain.

Yes, 4+-3 = 1. 5^1=5

300

Convert to standard notation: 3 X 10^6

3,000,000

300

Convert to scientific notation: 8,000,000

8 X 10^6

300

The mass of a Monarch butterfly is about 9.5 x 10^-3. Write this number in standard form.

.0095

300

(1 x 10 ^6) x (7 x 10 ^8)

7 x 10^14

300

Is the following number written in scientific notation? Why or why not? 13.79 x 10^7

No, 13.79 is greater than or equal to 10.

400

Convert to standard notation: 3.425 X 10^8

342,500,000

400

Convert to scientific notation: 734,239

7.34239 X 10^5

400

The size of the Sahara desert is about 3.629 x 10^6 square miles and the Arabian desert is about 9 x 10^5 square miles. Which desert is larger? Explain how you know.

Sahara, because the exponent is bigger.

400

Humpback whales are known to weigh as much as 8 x 10^4 pounds.

 The tiny krill they eat weigh only 2 x 10^-3 pounds. Approximately how many times greater than krill are humpback whales?  (Divide)

4 x 10^7

400

Which is equal? 6.7 X 10^3 = 67,000 OR

 5.4 X 10^4 = 54,000

5.4 X 10^4 = 54,000

500

Covert to Standard notation:  

3.45 X 10^-2

.0345

500

Convert to scientific notation: 45,300

4.53 X 10^4

500

The size of the three oceans, in square km, is shown below. List the oceans from smallest to largest.

 Pacific Ocean - 1.7965 x 10^8

 Arctic Ocean - 1.323 x 10^7

Atlantic Ocean - 1.061 x 10^8

Arctic, Atlantic, Pacific

500

A factory can make 3 X 10^4 t-shirts in a day. How many t-shirts can the factory make in 2.5 X 10^2 days?  (Multiply)

7.5 X 10^6

500

Jahliek solved the problem shown below: 

(2 x 10^4)  (1.8 x 10^6) = 3.6 x 10^-2 

Is he correct? Explain.

No. He was supposed to add the exponents, not subtract.