Scientific Notation: Multiplication, Division, Addition And Subtraction
Performing mathematical computations with scientific notation.
- 1.
Is the following numbers in proper scientific notation? 23.2 x 102
- A.
Yes, this is proper scientific notation
- B.
No, this is not proper scientific notation
Correct Answer
B. No, this is not proper scientific notationExplanation
2.32 x 10^3Rate this question:
-
- 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) =
- A.
12.0 x 10^12
- B.
12.0 x 10^35
- C.
1.2 x 10^13
- D.
1.2 x 10^36
Correct Answer
C. 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:
-
- 3.
Find the answer: 9.0 x 103 3.0 x 102
- A.
3.0 x 10^5
- B.
3.0 x 10^6
- C.
3.0 x 10^1
- D.
3
- E.
3.0 x 10^-1
Correct Answer
C. 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:
-
- 4.
(8.0 x 10-2) x (3 x 10-3) =
- A.
2.4 x 10^-5
- B.
24.0 x 10^-5
- C.
24.0 x 10^-6
- D.
2.4 x 10^-4
Correct Answer
D. 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:
-
- 5.
(3.0 x 102) + (4.0 x 103) =
- A.
4.3 x 10^2
- B.
7.0 x 10^-1
- C.
4.3 x 10^3
- D.
7.0 x 10^5
Correct Answer
C. 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:
-
- 6.
(9.0 x 103) - (4.0 x 102)
- A.
5.0 x 10^1
- B.
13.0 x 10^5
- C.
9.4 x 10^3
- D.
5.0 x 10^5
- E.
8.6 x 10^3
Correct Answer(s)
C. 9.4 x 10^3
E. 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:
-
- 7.
(6.0 x 102) x (5.0 x 104) = (2.0 x 10 3)
- A.
1.5 x 10^4
- B.
1.5 x 10^8
- C.
15 x 10^4
- D.
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:
-
- 8.
(6.0 x 102) + (4.0 x 104) = (2.0 x 102)
- A.
5.0 x 10^4
- B.
2.03 x 10^2
- C.
1.2 x 10^8
- D.
5.0 x 10^5
Correct Answer
B. 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:
-
- 9.
(8.0 x 10-2) = (2 x 10-3)
- A.
2 x 10^1 = 20
- B.
4 x 10^1 = 40
- C.
4 x 10^-5
- D.
4.0 x 10^-1
Correct Answer
B. 4 x 10^1 = 40Explanation
Division: Subtract the exponents: (-2) - (-3) = +1Rate this question:
-
- 10.
What is this equivalent to? 6.2 x 10-3
- A.
.062
- B.
.62
- C.
0.0062
- D.
6,200
Correct Answer
C. 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:
-
Quiz Review Timeline +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
-
Current Version
-
Oct 13, 2023Quiz Edited by
ProProfs Editorial Team -
Jul 22, 2010Quiz Created by
Kwchiro
Back to top