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Scientific Notation
Word Problems w/ Scientific Notation
Miscellaneous
Definitions
Operations w/ Scientific Notation
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. (3.7 x 10^9) + (9.04 x 10^9)
12.74 x 10^9 = 1.274 x 10^10
100
Is -2^8 the same answer as (-2)^8? Explain.
No, without parentheses () the answer will be negative, with them the answer will be positive.
100

When dividing, we ________ the exponents.

Subtract

100

(6 x 10^2) x (8 x 10^3)

4.8 x 10^6

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. (8.45 x 10^-7) - (6.9 x 10^-7)
1.55 x 10^-7
200
Shelly's work is shown below: (5^4)(5^-3) = 5 Is Shelly correct? Explain.
Yes, 4+-3 = 1. 5^1=5
200

When multiplying, we ________ the exponents.

add

200

(9 x 10^-3) / (4 x 10^-4)

2.25 x 10^1

300
The mass of a Monarch butterfly is about 9.5 x 10^-3. Write this number in standard form.
.0095
300
The surface of the Earth is water and land. The approximate total surface area of Earth is 5.1 x 10^8 km2 and the approximate total surface area of water is 361,000,000 km2. About how much of Earth's surface area is land?
1.49 x 10^8
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.
300

If we add to the exponent, we have to move the decimal to the _________.

Left

300

(3.2 x 10^2) + (5.4 x 10^2)

8.6 x 10^2

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 2.1875 x 10^-3 pounds. Approximately how many times greater than krill are humpback whales?
4 x 10^7
400
The mass of Mars is about 6.4 x 10^23 kg. It would take about 2,970 of the planet Mars to equal the mass of Jupiter. What is the mass of Jupiter?
1.9008 x 10^27
400

If we subtract from the exponent, we have to move the decimal to the _________.

right

400

(4.2 x 10^3) - (21 x 10^2)

2.1 x 10^3

500
The size of the four 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, Indian Ocean - 7.49 x 10^7
Arctic, Indian, Atlantic, Pacific
500
A computer can perform 4.66 x 10^8 instructions per second. How many instructions is that per minute? Per hour? Write your answers in scientific notation.
Per Second = 2.796 x 10^10 Per Hour = 1.6776 x 10^12
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.
500

What is scientific notation?

A way to express really large or really small numbers.

500

(7.3 x 10^-2) + (23.4 x 10^-4)

7.534 x 10^-2