Is the following expression written in scientific notation? If not, explain why.
12.3 x 10^6
No; the 12.3 is not greater than or equal to one and less than 10
100
Solve the expression. Write your answer in scientific notation.
(3 x 10^9) + (9 x 10^9)
12 x 10^9 = 1.2 x 10^10
100
When multiplying with Scientific Notation:
__________ the constants then _______ the exponents
MULTIPLY the constants then ADD the exponents
200
Write 3^5 in expanded Form.
3x3x3x3x3
200
Simplify:
(4y)^3
(4^3)(y^3)
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
True or False: The exponents must be the SAME before adding them.
TRUE
200
When dividing with Scientific Notation:
________ the constants then ________ the exponents
DIVIDE the constants SUBTRACT the exponents
300
Evaluate the expression, 6^2/6^5
1/6^3
300
Simplify:
(x^5)(x^9)
x^14
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 square kilometers and the approximate total surface area of water is 3.61 x 10^8 square kilometers. About how much of Earth's surface area is land?
1.49 x 10^8 square kilometers
300
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?
4 x 10^7
400
Evaluate the expression, (149)^0
1
400
Fill in the missing exponents to make the statement true.
(6^x)(6^y) = 6^14
Any combination of numbers that would equal 14 when ADDED together.
400
Which number is larger: 3.629 x 10^6 or 9 x 10^5?
How do you know?
3.629 x 10^6 because it has a larger exponent and constant.
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?
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
500
Simplify the expression, (8^-5)(8^5)
8^0 = 1
500
Fill in the missing exponents to make the statement true:
(5^x)^y = 5^12
Any combination of numbers that when multiplied together equals 12.
500
Interpret this number from your calculator:
6.023486E7
6.023486 x 10^7 or 60,234,860
500
(3.0 x 10^4) + (4.0 x 10^3)
3.4 x 10^4
500
John solved the problem shown below:
(2 x 10^4)(1 x 10^6) = 2 x 10^-2
Is he correct? Explain.
No. He was supposed to add the exponents, not subtract.