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This printable reviews the Common Core Mathematics Standards for Grade 8 Expressions and Equations Work with radicals and integer exponents: 8.EE.A.1, 8.EE.A.2, 8.EE.A.3, 8.EE.A.4.

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Exponents and Radicals Review (Grade 8)

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Exponents and Radicals Review

1. 
Choose the correct answer.
[math](8.6xx10^13)/(4.1xx10^3)[/math]
  1. [math] 2.1xx10^-16 [/math]
  2. [math] 2.9xx10^10 [/math]
  3. [math] 2.09xx10^16 [/math]
  4. [math] 2.1xx10^10[/math]
 
2. 
Choose the best answer.

[math]sqrt(20)[/math] is between which two numbers?
  1. 2 and 3
  2. 3 and 4
  3. 4 and 5
  4. 5 and 6
3. 
Choose the correct scientific notation for 540,000,000.
  1. [math]5.4xx10^8[/math]
  2. [math]5.4xx10^-7[/math]
  3. [math]5.4xx10^7[/math]
  4. [math]5.4xx10^9[/math]
 
4. 
Choose the correct answer.
[math](2.76xx10^3)xx(1.93xx10^5)[/math]
  1. [math]5.3xx10^2[/math]
  2. [math]5.3xx10^5[/math]
  3. [math]5.3xx10^3[/math]
  4. [math]5.3xx10^8[/math]
5. 
Which of the following is a correct notation for 0.000078?
  1. [math]7.8xx10^-6[/math]
  2. [math]7.8xx10^-5[/math]
  3. [math]7.8xx10^-7[/math]
  4. [math]7.8xx10^-4[/math]
 
6. 
Choose the best answer.

[math]sqrt(106)[/math] is between which two numbers?
  1. 10 and 11
  2. 9 and 10
  3. 11 and 12
  4. 8 and 9
7. 
[math]sqrt(81)[/math]
  1. 8
  2. 9
  3. 31
  4. 40.5
 
8. 
[math]root(3) 8[/math]
  1. 2
  2. 4
  3. 8
  4. 1
9. 
Which of the following is NOT the same as [math]2^-3[/math]?
  1. [math]8[/math]
  2. [math]0.125[/math]
  3. [math]1/8[/math]
  4. [math]1/2^3[/math]
 
10. 
[math]4^3 xx 4^-4 = [/math]
  1. [math]4[/math]
  2. [math]1/4[/math]
  3. [math]1/4^7[/math]
  4. [math]1/4^12[/math]
11. 
Choose the correct scientific notation for 245,389,271.
  1. [math]2.45xx10^-8[/math]
  2. [math]2.45xx10^-7[/math]
  3. [math]2.45xx10^7[/math]
  4. [math]2.45xx10^8[/math]
 
12. 
[math]6^3/3^-2[/math]
  1. 24
  2. 1944
  3. [math]1/24[/math]
  4. 225
13. 
Which of the following is a correct notation for 0.0000005?
  1. [math]5xx10^-6[/math]
  2. [math]5xx10^6[/math]
  3. [math]5xx10^-7[/math]
  4. [math]5xx10^7[/math]
 
14. 
Evaluate. [math]6^2xx6^-4[/math]
  1. 0.022
  2. 0.028
  3. 0.020
  4. 0.029
15. 
Which of the following is a true statement?
  1. [math]7xx10^5>6xx10^8[/math]
  2. [math]7xx10^8<4xx10^7 [/math]
  3. [math]5xx10^3<3xx10^9 [/math]
  4. [math]5xx10^3>5xx10^5 [/math]
 
16. 
Choose the correct answer.
[math](1.7xx10^5)xx(2.3xx10^8)[/math]
  1. [math] 3.91xx10^-3 [/math]
  2. [math] 3.19xx10^-3 [/math]
  3. [math] 3.91xx10^13 [/math]
  4. [math] 3.19xx10^13 [/math]
17. 
Choose the best answer.

[math]sqrt(72)/5[/math] is
  1. between 1 and 1.40.
  2. greater than 2.
  3. between 1.41 and 2.
  4. less than 1.
 
18. 
Choose the correct answer.
[math](2.6xx10^3)xx(1.8xx10^9)[/math]
  1. [math] 4.68xx10^3 [/math]
  2. [math] 4.68xx10^12 [/math]
  3. [math] 4.68xx10^6 [/math]
  4. [math] 4.68xx10^9 [/math]
19. 
Choose the correct answer.
[math](2.3xx10^6)/(1.5xx10^3)[/math]
  1. [math] 1.53xx10^3 [/math]
  2. [math] 1.53xx10^9 [/math]
  3. [math] 1.53xx10^6 [/math]
  4. [math] 1.53xx10^-3 [/math]
 
20. 
[math]3^5/2^3-2^2[/math]
  1. [math]234/4[/math]
  2. [math]211/8[/math]
  3. [math]243/4[/math]
  4. 1940
21. 
Which of the following is a true statement?
  1. [math]7xx10^5>6xx10^8[/math]
  2. [math]7xx10^8>4xx10^7 [/math]
  3. [math]5xx10^3>3xx10^9 [/math]
  4. [math]5xx10^3>5xx10^5 [/math]
 
22. 
Choose the best answer.

[math]sqrt(27)/3[/math] is between which two numbers?
  1. 3 and 4
  2. 2 and 3
  3. 1 and 2
  4. 0 and 2
23. 
[math]sqrt(196)[/math]
  1. 13
  2. 11
  3. 12
  4. 14
 
24. 
[math]root(3) 343 [/math]
  1. 9
  2. 8
  3. 7
  4. 6
25. 
[math]2^-2 / 2^-5[/math] is equivalent to which of the following?
  1. [math]2[/math]
  2. [math]1/2[/math]
  3. [math]8[/math]
  4. [math]1/8[/math]

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