Use the laws of exponents to write an equivalent expression. (You will have exponents in your answer.)
2^3 • 2^4
2^7
100
Is the following expression written in scientific notation? Explain why or why not.
3.25 + 10^-7
No, it should be multiplied by 10^-7, 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
How can we tell if a number written in scientific notation is less than or greater than 1?
By looking at the exponent: positive exponent means greater than 1, negative exponent means a decimal (less than 1).
200
Evaluate: 3^-2
1/9
200
Use the laws of exponents to write an equivalent expression. (You will have exponents in your answer.)
3^15 ÷ 3^9
3^6
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 kg
200
Solve the expression. Write your answer in scientific notation.
(8.45 x 10^-7) - (6.8 x 10^-7)
1.65 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
300
Evaluate: 27^0
1
300
Use the laws of exponents to write an equivalent expression. (You will have exponents in your answer.)
(17^3)^4
17^12
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 km2
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
Evaluate: 2^-4
1/16
400
Use the laws of exponents to write an equivalent expression. (You will have exponents in your answer.)
2^7 • 3^7 • 2^4
2^11 • 3^7
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?
3.657 x 10^7 times greater
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
500
Evaluate: (-2 + 7 - 3)^2
4
500
Use the laws of exponents to write an equivalent expression. (You will have exponents in your answer.)
(5^9 • 5^3)^2
(5^12)^2 = 5^24
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
Find the sum. Write your answer in scientific notation.
(2.4 x 10^2) + (3.4 x 10^4) + (1.5 x 10^3)
Step 1: (.24 x 10^3) + (34.0 x 10^3) + (1.5 x 10^3)
Step 2: (.24 + 34.0 + 1.5) x 10^3
Step 3: 35.74 x 10^3
Answer: 3.574 x 10^4
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.