Quarter 1 Review: NO CALCULATOR! Classwork Absolute Value Examples: |−6| = 6 −|0.8| = −0.8 BIG IDEA: Absolute value is how far a number is away from __________ on a number line. *If the negative is on the outside of the brackets, the answer is ________________, otherwise the answer is positive 1. |−8| = _______ 2. −|−25| = ________ 3. −|0.25| =________ 4. 3 | | = _________ 4 Integer Operations Examples: -6 + (-5) = -11 7 – 12 = -5 77 5. 14 + (-1) 6. 8. -25 – 16 9. 10 – 21 11. -3 + (-31) 14. 12. −56 -9∙4 = -36 −8 7. −11 10. −144 =7 -19(3) -11(-13) 13. -46 + 49 −3 Determine whether x ∙ y would be positive or negative. Justify your answer. x 0 y ___________________________________________________________________ ___________________________________________________________________ 15. What addition equation is modeled below? 16. What multiplication equation is modeled below? 17. The record low temperature in the fictional land of Cooktopia is -146°F. The record high temperature is 24°F. What is the difference between the record high temperature and the record low temperature? 18. A narwhal leaps from the water to 12 feet above sea level then dives 15 feet below the surface. What is the difference the narwhal traveled? Scientific Notation Examples: 4.21 x 10-5 = 0.0000421 5,304,000,000 = 5.304 x 109 BIG IDEA: A positive exponent moves the decimal to the ______________, and a negative exponent moves the decimal to the _______________. Complete the table. # Standard Form 19) 0.621 20) Scientific Notation 7.25 × 10-9 1.09 × 104 21) 22) 95,010,000,000 23) 820 6.021 × 100 24) Fractions, Decimals, and Percents – To Change a… **Fraction Decimal: ______________top by bottom **Decimal Percent: Move decimal place two spots to the _____________. **Percent Decimal: Move decimal place two spots to the _____________. **Fraction Percent: Divide top number by bottom number. Move the decimal two spots to the ___________. Convert each fraction into a decimal. 25. 7 59 26. 2 3 27. 5 8 Convert each decimal into a percent. 28. 0.567 29. 3.22 30. 0.333… Convert each percent into a decimal. 31. 24.6% 32. 33.3̅% 33. 0.58% Convert each fraction into a percent. 34. 25 3 35. 50 2 36. 1 5 8 Fill in the blank with a >, <, or = to make a true statement. 37. 4.2 x 10-1____ 0.42% 1 39. 2.10 x 100 _____ 2.101 38. 22 ____240% 40. Place the following numbers in descending order. (Big Small) 2 4.4 x 10-4 4 % 5 12 48% 20 Square Roots Examples: √49 = 7 √144 = 12 41. √25 = ________ 42. √196 = ________ 43. √361 = ________ PEMDAS – Use PEMDAS to simplify each expression. 44. −16(−1) 44. −3+(−1) 121 46. −8(−3) + −11 −36 9 45. −4(−2 + 3)2 − 32 + 15 47. 42 − 8(3) Powers of Ten Example : 10−3 = 1 103 = 1 1000 = 0.001 48. Write 0.00001 as a power of ten 50. Write 1 104 49. Write 10−2as a fraction as a decimal *Study properties!!!*