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QR Challenge: Math 8 Unit 1 Test Review

QuestionAnswer
1. What sets of numbers does -7/16 belong to?Rational,Real
2. What sets of numbers does the square root of 25 belong to?Natural,Whole,Integer,Rational,Real
3. Between which two consecutive integers does the square root of 43 fall between?6 and 7
4. What is the sum of all integers between the square root of 5 and the square root of 90?42
5. What is a whole number?Positive numbers that don't have fractions or decimals and includes zero.
6. True or False: All fractions are rational numbers. Explain.True-A rational number is any number that can be made into a fraction.
7. True or False: The square root of 7 is rational.False-7 is not a perfect square.
8. Estimate the square root of 124 to the nearest whole number.about 11
9. Estimate the square root of 76 to the nearest whole number.about 9
10. Order the following from least to greatest: square root of 20, 5, 7, 20, square root of 52sq.root of 20, 5, 7, sq.root of 52, 20
11. What is the sum of all integers bigger than the square root of 10 and less than the square root of 50?4+5+6+7=22
12. Why is the square root of -49 not possible? Explain.There aren't two identical numbers whose product is -49.
13. When you are multiplying powers you__________the exponents.Add
14. When you are dividing powers you__________the exponents.Subtract
15. When a power is raised to a power you____________the exponents.Multiply
16. Any number raised to the zero power is ___________.One
17. How do you get rid of a negative exponent?Take the reciprocal of the fraction and make the exponent positive.
18. Solve and write rule (6^12)/(6^21)6^-9 or 1/6^9 (Subtract exponents)
19. Solve and write rule (7^14)(7^3)7^17 (Add exponents)
20. Solve and write rule (16^20)^216^40 (Multiply exponents)
21. Solve and write rule (100^25)/(100^10)100^15 (Subtract exponents)
22. Solve and write rule (-39^8)/(-39^18)-39^-10 or 1/-39^10 (Subtract exponents)
23. Solve and write rule (5^10)(5^2)5^12 (Add exponents)
24. Solve and write rule (-29)/(-29^4)-29^-3 or 1/-29^3 (Subtract exponents)
25. Solve and write rule (15^3)^2015^60 (Multiply exponents)
26. Solve and write rule "the quotient of four cubed and four"(4^3)/(4)=4^2
27. Solve and write rule "the product of seven to the fifth power and seven cubed"(7^5)(7^3)=7^8
28. Is the number 30.12 x 10^4 in scientific notation? Explain.No, the factor is not between 1 and 10.
29. Write the following in scientific notation: .00042874.287 x 10^-4
30. Write the following in scientific notation: 6,788,0006.788 x 10^6
31. Write the following in scientific notation: 54.3685.4368 x 10^1
32. Write the following in scientific notation: -.000000072-7.2 x 10^-8
33. Place one of the following (<,>,=) in the blank: 3.2 x 10^-10______3.2 x 10^-11>
34. Place one of the following (<,>,=) in the blank: 5100______5.1 x 10^3=
35. Evaluate. Express each in scientific notation and standard form. (5 x 10^-2)(2.3 x 10^12)1.15 x 10^11, 115000000000
36. Evaluate. Express each in scientific notation and standard form. (3.9 x 10^3)(4.2 x 10^-11)1.638 x 10^-7, .0000001638
37. Evaluate, Express each in scientific notation and standard form, (1.17 x 10^2)/(5 x 10^-1)2.34 x 10^2, 234
38. Evaluate. Express each in scientific notation and standard form. (2.015 x 10^-3)(3.1 x 10^2)6.2465 x 10^-1, .62465

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