Comparing Integers
For problems #1 through #3, compare the integers given. Fill in the blank by writing “is greater than” or “is less than”.
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| 1) –6 _______ 4
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| 2) –3 _______ –8
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| 3) 9 _______ 2
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| 4) Find the absolute value. |–7|
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| 5) Find the absolute value. |7|
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Integer Operations
For problems #6 through #9, find the sum.
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| 6) –36 + 24
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| 7) –92 + –18
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| 8) 68 + 27
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| 9) 18 + –57
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| 10) Write an addition problem using integers where the answer is smaller than either of the two integers being added. Referring to a number line, explain how this is possible. |
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For problems #11 through #13, find the difference.
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| 11) 46 – (–28)
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| 12) –15 – (–74)
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| 13) –45 – 20
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| 14) The answer to 7 – (–8) is a number greater than either 7 or (–8). Referring to the number line, find the answer to 7 – (–8) and explain how the answer can be a number greater than either 7 or (–8).
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| 15) The lowest place on Earth, the Dead Sea, with Israel and Jordan on its border, is 1,200 feet below sea level. The tallest mountain on Earth, Mount Everest, in Tibet and Nepal, is 29,035 feet high (above sea level). How many feet are there between the highest point and the lowest point on Earth?
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Word Problems using Real-World Contexts
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| 16) At Lisa's Closet, 1/6 of the clothes are white and another 1/2 are black. What fraction of the clothes are either black or white?
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| 17) Under very specific instructions, a jeweler made one ring for the queen and one ring for the princess. The gem on the queen's ring weighed 7/10 of a carat and the stone on the princess's ring weighed 1/2 of a carat. How much heavier was the stone on the queen's ring than the stone on the princess's?
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| 18) Hoping to be named Salesperson of the Month, Brendan called the names from 4/5 of a page of the phone book last week. This week, he called the people listed on another 9 pages of the same phone book. How many pages worth of people did Brendan call in all?
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| 19) The state of Ohio has approximately 11,400,000 people. 5.3% of Ohio’s population is educated with an associate degree (two-year college degree). Approximately how many people in Ohio have an associate degree?
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| 20) The population of Australia is approximately 19,500,000. Approximately 195,000 are of the ethnic group called Aborigines. The Aborigines population is about what percent of the total population?
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| 21) 17.92 is 64% of what number?
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| 22) Compute.
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| 23) Express 4 miles as yards.
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| 24) Express the length of the arrow to the nearest centimeter, and then express the length of the arrow to the nearest millimeter.
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| 25) Kiley’s mother had 10 pennies, 6 nickels, and 8 dimes in her purse. What is the ratio of pennies to dimes in her purse? Express ratio in simplest terms.
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| 26) The decimal for 1% is 0.01. Find the decimal for 1/4%. Keep in mind that a quarter of a percent is less than one percent.
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| 27) What whole number is equal to 100%?
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| 28) Which is larger, dekameter or decimeter?
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| 29) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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