# 6th Grade - Work With Positive And Negative Numbers

 Grade Level: 6th Skill: Problem Solving Topic: Work with Positive and Negative Numbers Goal: Solve addition, subtraction, multiplication, and division problems, including those arising in concrete situations that use positive and negative integers and combinations of these operations. Skill Description: Add, subtract, multiply and divide positive and negative numbers using integer rules. Solve problems using appropriate integer rules and operations for real life situations, such as temperature changes and checkbook balances. Use the order of operations to solve problems with multiple operations.

## Building Blocks/Prerequisites

### Sample Problems

 (1) -2 + 4 (2) (2) -4 - -10 (6) (3) 16 x -5 (-80) (4) -42  -2 (24) (5) (-16 x -2) + 4 - -1 (37) (6) Reggie checked the temperature before he left for school at it was 5 degrees. He checked it again when he returned from school and it had risen 10 degrees. At 8 p.m. he checked it for the last time and it had dropped 18 degrees since noon. What was the temperature the last time Reggie checked it? (-3)

### Online Resources

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### Extra Help Problems

 (1) -23 + 16 (-7) (2) -200 + -40 (-240) (3) 16 - -5 (21) (4) 8 – 19 (-11) (5) 64 - -6 (70) (6) -150 + 150 (0) (7) 134 - -134 (268) (8) -6 x -8 (48) (9) -9 x 9 (-81) (10) 12 x -160 (-1,920) (11) 180  -90 (-2) (12) -1420  -10 (142) (13) -120  20 (-6) (14) 1862  2 (931) (15) 1,252 x -1 (-1,252) (16) Jimmy is scuba diving. He descends 15 feet below the surface. After ½ hour he descends another 10 feet. How far did he dive? (-25) (17) Lacey digging a hole. She drills down 25 feet and decides it’s too deep. She fills the hole with 10 feet of dirt. How deep is the hole now? (-15) (18) Will checks the temperature at noon and finds that it is 10 degrees. He checks it again at two and it has dropped 2 degrees. He checks again at five o’clock and it has risen 4 degrees. What is the temperature at 5 o’clock? (12 degrees) (19) Vincent puts \$200.00 into his bank account. He writes checks for \$45.00, 95.00 and 100.00. What is his bank balance? (-\$40) (20) Tammi is shopping for an outfit to wear to the dance. She would like to buy a dress for \$35.00, shoes for \$26.25 and a necklace for \$15.25. If she has \$62.50 in her account will she still have a positive balance if she buys all three items? Explain.(No, she will have a negative balance of \$14.00.) (21) (-4 + 4) x -2 (-2) (22) -4 x -5 + -3 (17) (23) -10 + (-5 x 4) (-30) (24) 4 + -5 – 2 (-2) (25) (-7 – 3) x (4/-2) (20)