Question | Answer |
1. What sets of numbers does -7/16 belong to? | Rational,Real
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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 52 | sq.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)^2 | 16^40 (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)^20 | 15^60 (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: .0004287 | 4.287 x 10^-4
| 30. Write the following in scientific notation: 6,788,000 | 6.788 x 10^6
| 31. Write the following in scientific notation: 54.368 | 5.4368 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 |