III: Exponents, Square Roots, And Scientific Notation

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| By Ccpatriciaburns

Ccpatriciaburns

Community Contributor

Quizzes Created: 1 | Total Attempts: 128

Questions: 5 | Attempts: 128 | Updated: Feb 21, 2024

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III: Exponents, Square Roots, And Scientific Notation - Quiz

This quiz titled 'Exponents, Square Roots, and Scientific Notation' assesses understanding of mathematical powers, square roots, and the use of scientific notation. It includes practical problem-solving and interpretation of numerical expressions relevant for educational growth.

Questions and Answers

1.

6²
- A.
  
  6
- B.
  
  12
- C.
  
  36
Correct Answer
C. 36

Explanation
The given sequence follows a pattern where each number is obtained by multiplying the previous number by a certain factor. In this case, the factor is 6. Starting with 6, each subsequent number is obtained by multiplying the previous number by 6. Therefore, 6 * 6 = 36, which is the correct answer.

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2
2.

(-8)²
- A.
  
  -16
- B.
  
  16
- C.
  
  64
Correct Answer
C. 64

Explanation
The given expression (-8)2 means -8 raised to the power of 2. When a negative number is raised to an even power, the result is always positive. Therefore, (-8)2 equals 64.

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1
3.

What is the square root of 64?
- A.
  
  8
- B.
  
  32
- C.
  
  14
Correct Answer
A. 8

Explanation
The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, the square root of 64 is 8 because 8 multiplied by itself equals 64.

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2
4.

10³
- A.
  
  100
- B.
  
  1000
- C.
  
  10000
Correct Answer
B. 1000

Explanation
The given sequence consists of powers of 10. Starting with 10^0 (which is 1), each subsequent term is obtained by multiplying the previous term by 10. Therefore, the next term in the sequence after 100 is 1000.

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2
5.

The preschool children needed a play-area with an area of 81 feet to accommodate the number of students enrolled in the class. If the room is in the shape of a square, what is the length of each wall?
- A.
  
  40.5 ft
- B.
  
  9 ft
- C.
  
  3 ft
Correct Answer
B. 9 ft

Explanation
Since the room is in the shape of a square, all sides have the same length. To find the length of each wall, we need to find the square root of the total area. The square root of 81 is 9, so each wall of the play-area would be 9 feet long.

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2

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Current Version
Feb 21, 2024

Quiz Edited by
ProProfs Editorial Team
Mar 12, 2011

Quiz Created by
Ccpatriciaburns

III: Exponents, Square Roots, And Scientific Notation

62

(-8)2

What is the square root of 64?

103

The preschool children needed a play-area with an area of 81 feet to accommodate the number of students enrolled in the class. If the room is in the shape of a square, what is the length of each wall?

6²

(-8)²

10³