* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Unit 1 Review Packet
Survey
Document related concepts
Foundations of mathematics wikipedia , lookup
Infinitesimal wikipedia , lookup
Georg Cantor's first set theory article wikipedia , lookup
Law of large numbers wikipedia , lookup
History of logarithms wikipedia , lookup
Ethnomathematics wikipedia , lookup
Elementary arithmetic wikipedia , lookup
Real number wikipedia , lookup
Large numbers wikipedia , lookup
Location arithmetic wikipedia , lookup
Positional notation wikipedia , lookup
Transcript
Name: ____________________________________ Math In Trades Period: __________________ UNIT 1 Review Packet Improper Fractions Mixed Numbers To convert from Mixed Numbers to Improper Fractions: = a x c+ b c Examples: 1. 2. To convert from Improper Fractions to Mixed Numbers: a. Divide the numerator by the denominator, and write the number with out the remainder as the whole number b. Write the remainder as the new numerator c. Keep the denominator the same Examples: 3. 35 4. 9 4 8 Writing Fractions in Lowest Terms: Find the GCF to the numerator and denominator, and divide both by the GCF. Examples: 5. 5 30 6. Writing Equivalent Fractions: a. Write all numbers as improper fractions b. Find the number needed to multiply or divide to get the new numerator/denominator c. Multiple the denominator/numerator by the same number Examples: 7. 3 = ? 8. 2 ¾ = ? 4 12 12 1 Translating Numbers Words: Examples: Write the words as numbers and the numbers as words. 9. 2,403,560 10. 940,001 11. Two hundred thirty thousand, seven hundred 12. Five million, ninety-eight thousand, one hundred seven Comparing Fractions: Find a common denominator, and then compare the numerators. Examples: Circle the larger fraction. 13. 7 OR 2 14. 1 ¼ OR 7 16 15 6 Rounding Whole Numbers: a. Find the indicated place value b. Use the place value to the right to tell you which way to round c. Round the indicated number, then fill in trailing zeros Examples: 15. 94, 746 to the nearest hundred 16. 652,738 to the nearest hundred thousand Arithmetic of Whole Numbers Examples: 17. 2074 + 906 18. 734 – 85 19. 67 x 21 20. 11309 ÷ 263 2 Arithmetic of Fractions: o Addition/Subtraction: find a common denominator then add the numerators o Multiplication: multiply the numerators, multiply the denominators, then reduce o Division: KCF and multiply Examples: 21. 1 ¼ ÷ 1 ½ 22. ½ x 1 ⅓ 23. 6 – 1 ½ Order of Operations: PEMDAS Examples: 25. 120 – 40 ÷ 8 24. 7 - 3 8 10 26. (18 + 5 x 9) ÷ 7 27. 3 x 4 – 15 ÷ 3 Word Problems: 28. One bottle of NoGo pain medicine contains 80 tablets. How many tablets are contained in 5 ¾ bottles? 29. During the first three months of the year, the Print Rite Company reported the following sales of printers: January $53,726 February $37,152 March $60,478 What is their sales average for this quarter of the year? (Hint: first find the sum, then divide by the total number of months) 3 Perform the indicated operations: a) 2 ⅗ - 0.83 b) 26.8793 ÷ 4.3 e) 0.12 + 1.647 + 28.4 Round 186.45129 as indicated: a) hundredth b) whole number c) 1.64 x 3 ⅛ d) 6.3 x 4.01 f) 4.2 + 4.6 x 1.2 2.73 ÷ 21 + 0.41 c) tenth Write the following as decimal numbers: a) 5⅞ b) 8⅔ d) ten-thousandth c) ⅙ Find the average of the following numbers and round to the nearest hundredth: 248.56, 597.16, 569.14, 876.92, 432.01 A doctor prescribes 0.61-mg of a prescription to be taken over the course of a week. How many 0.061-mg doses should be taken that week? 4 A scientist finds that there are 3.8 bacteria cells that can be viewed in one microscope slide. How many should the scientist expect to view if 24 slides are looked at? Write the following in words: a) 40.012 b) 1873.2168 Write the following in numbers: a) One and fourteen thousandths c) 0.045 b) seventy-four hundred-thousandths 5