Scientific Notation -standard Form
Scientific Notation a special way of writing numbers that are too big or too small to be conveniently written in decimal form. Scientific notation has a number of useful properties and is commonly used in calculators and by scientists, mathematicians and engineers.
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- 1.
SELECT ALL OF THE CHOICES IN SCIENTIFIC NOTATION BY CHECKING BELOW
- A.
536,000
- B.
5.36 X 10 ^ 5
- C.
0.356
- D.
7.8 X 10 ^ -3
- E.
3.56 X 10 ^2
- F.
450
- G.
5.67 X 10 ^ -5
- H.
0.700 X 10^5
- I.
927.00
Correct Answer(s)
B. 5.36 X 10 ^ 5
D. 7.8 X 10 ^ -3
E. 3.56 X 10 ^2
G. 5.67 X 10 ^ -5Explanation
The correct answer choices are all written in scientific notation, which is a way to express very large or very small numbers using powers of 10. In scientific notation, a number is written as a coefficient multiplied by 10 raised to a power. For example, 5.36 x 10^5 means 5.36 multiplied by 10 raised to the power of 5. The other answer choices that are also in scientific notation follow the same pattern, with a coefficient and a power of 10.Rate this question:
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- 2.
Which of the following numbers is correctly expressed in scientific notation?
- A.
0.52 x 10<sup>4</sup>
- B.
12.7 x 10<sup>-2</sup>
- C.
3.06 x 10<sup>5</sup>
- D.
0.0084 x 10<sup>3</sup>
Correct Answer
C. 3.06 x 10<sup>5</sup>Explanation
Scientific notation expresses numbers as a coefficient between 1 and 10 multiplied by a power of 10. This simplifies very large or small numbers. For example, 3,000,000 can be written as 3 x 10<sup>6</sup>. The coefficient is 3, and the power of 10 indicates how many places the decimal moves. A positive exponent (like 6) means a large number; a negative exponent would indicate a very small number.Rate this question:
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- 3.
The Earth's circumference is approximately ____________________. In scientific notation, this is 4 X 107 m.
Correct Answer
40,000,000 m
40,000,000
40000000 m
40000000
40,000,000m
40000000mExplanation
The Earth's circumference is approximately 40,000,000 meters. This can also be expressed as 4 X 10^7 meters in scientific notation.Rate this question:
- 4.
Is this statement true or false? The Earth's mass is about 5,973,600,000,000,000,000,000,000 kg. In scientific notation, this is written as 5.9736 X 1024 kg.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
The statement is true because the Earth's mass is indeed approximately 5,973,600,000,000,000,000,000,000 kg, which can be expressed in scientific notation as 5.9736 x 10^24 kg.Rate this question:
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- 5.
Find the answer to the following question in Scientific Notation: 0.0000056 =
- A.
56 X 10 ^-6
- B.
5.6 X 10 ^6
- C.
5.6 X 10 ^-6
- D.
5.6 X 10 ^-5
Correct Answer
C. 5.6 X 10 ^-6Explanation
The given number is 0.0000056, which can be written in scientific notation as 5.6 x 10^-6. This is because the decimal point is moved 6 places to the right, resulting in a coefficient of 5.6, and the exponent is negative since the original number is less than 1.Rate this question:
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Dec 06, 2024Quiz Edited by
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Apr 28, 2014Quiz Created by
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