Scientific Notation: Multiplication, Division, Addition And Subtraction
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Is the following numbers in proper scientific notation? 23.2 x 102
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Yes, this is proper scientific notation
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No, this is not proper scientific notation
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This quiz assesses understanding of scientific notation, including multiplication, division, addition, and subtraction of numbers expressed in this format. It tests the ability to perform calculations manually, reinforcing the concept's practical application in mathematics.
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- 2.
Do NOT use your calculator. UNDERSTAND how to work with scientific notation!(1012 is the same as 10^12)(3.0x 107) (4.0 x 105) =
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12.0 x 10^12
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12.0 x 10^35
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1.2 x 10^13
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1.2 x 10^36
Correct Answer
A. 1.2 x 10^13Explanation
When MULTIPLYING in scientific notation, ADD the exponent.
Make sure you change your answer to proper scientific notation. (3.0x 10^7) (4.0 x 10^5)= (3.0 x 4.0)x 10^(7+5)Rate this question:
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- 3.
Find the answer: 9.0 x 103 3.0 x 102
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3.0 x 10^5
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3.0 x 10^6
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3.0 x 10^1
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3
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3.0 x 10^-1
Correct Answer
A. 3.0 x 10^1Explanation
Dividing scientific notation: SUBTRACT the exponenent in the numerator from the exponent in the demoninator:
9.0 x 10^3 divided by 3.0 x 10^2 =
(9 divided by 3)x 10^(3-2)Rate this question:
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- 4.
(8.0 x 10-2) x (3 x 10-3) =
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2.4 x 10^-5
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24.0 x 10^-5
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24.0 x 10^-6
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2.4 x 10^-4
Correct Answer
A. 2.4 x 10^-4Explanation
When multiplying with scientific notation: add the exponents.
(8.0 x 10^-2) x (3 x 10^-3) = (8 x 3)x 10^(-2 + -3) = 24 x 10^-5 = 2.4 x 10^-4Rate this question:
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- 5.
(3.0 x 102) + (4.0 x 103) =
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4.3 x 10^2
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7.0 x 10^-1
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4.3 x 10^3
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7.0 x 10^5
Correct Answer
A. 4.3 x 10^3Explanation
Adding and Substracting in Scientific Notation REQUIRES the exponents to be the SAME. EASIEST way to do this problem:
Change into "regular numbers" and then put your answer in proper scientific format:
(3.0 x 10^2) + (4.0 x 10^3) = 300 + 4,000 = 4,300 =
4.3 x 10^3Rate this question:
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- 6.
(9.0 x 103) - (4.0 x 102)
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5.0 x 10^1
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13.0 x 10^5
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9.4 x 10^3
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5.0 x 10^5
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8.6 x 10^3
Correct Answer(s)
A. 9.4 x 10^3
A. 8.6 x 10^3Explanation
When substrating in scientific notation, the exponents MUST be the same. EASIEST way to do the problem: Change to "regular numbers", calculate and then change your answer back to scientific notation: (9.0 x 10^3)-(4.0 x 10^2)=
9,000 - 400 = 8,600 = 8.6 x 10^3Rate this question:
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- 7.
(6.0 x 102) x (5.0 x 104) = (2.0 x 10 3)
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1.5 x 10^4
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1.5 x 10^8
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15 x 10^4
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6.0 x 10^4
Correct Answer
A. 1.5 x 10^4Explanation
(6 x 5 divided by 2)x 10 ^ (2 + 4 -3)= 15 x 10^3
= 1.5 x 10^4Rate this question:
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- 8.
(6.0 x 102) + (4.0 x 104) = (2.0 x 102)
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5.0 x 10^4
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2.03 x 10^2
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1.2 x 10^8
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5.0 x 10^5
Correct Answer
A. 2.03 x 10^2Explanation
Change the numerator into "regular" numbers, calculate and change back to scientific notation (40,000 + 600 = 40,600 = 4.06 x 10^4) then divide by 2.0 x 10^2)Rate this question:
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- 9.
(8.0 x 10-2) = (2 x 10-3)
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2 x 10^1 = 20
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4 x 10^1 = 40
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4 x 10^-5
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4.0 x 10^-1
Correct Answer
A. 4 x 10^1 = 40Explanation
Division: Subtract the exponents: (-2) - (-3) = +1Rate this question:
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- 10.
What is this equivalent to? 6.2 x 10-3
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.062
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.62
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0.0062
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6,200
Correct Answer
A. 0.0062Explanation
The given number, 6.2 x 10-3, is in scientific notation. In scientific notation, the number is expressed as a decimal number multiplied by a power of 10. In this case, 6.2 x 10-3 means 6.2 multiplied by 10 raised to the power of -3. To convert this to a decimal number, we move the decimal point three places to the left, resulting in 0.0062. Therefore, the correct answer is 0.0062.Rate this question:
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Current Version
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Oct 13, 2023Quiz Edited by
ProProfs Editorial Team -
Jul 22, 2010Quiz Created by
Kwchiro
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