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 TOPICS This page:   negative numbers    Search   Dr. Math See also the Dr. Math FAQ:   integers,   rational numbers,   irrational numbers and   negative x negative Internet Library:   negative numbers MIDDLE SCHOOL About Math Algebra    equations    factoring expressions    graphing equations Arithmetic    division    exponents    factorials    factoring numbers    fractions/percents    logarithms Definitions Geometry    2-dimensional      conic sections/        circles      triangles/polygons    3D and higher      polyhedra History/Biography Logic Measurement    calendars/      dates/time    temperature    terms/units Number Sense    factoring numbers    negative numbers    pi    prime numbers    square roots Probability Puzzles Ratio/Proportion Statistics Word Problems Browse Middle School Negative Numbers Stars indicate particularly interesting answers or good places to begin browsing. Selected answers to common questions:     Inequalities and negative numbers.     Positive/negative integer rules. Adding a Negative: Absolute Value and Parentheses [08/25/2001] When we get into the absolute value symbols and the parentheses it goes completely over my head! For example: 0-(-2). Converting Words to Numbers [06/03/1998] Can you help me find integers to represent phrases such as "5 degrees below zero"? Distributive Law [8/2/1996] Why does "-(y sq - y)" become "-y sq + y?" Why does the subtraction sign change to addition? Dividing by a Negative Fraction [01/24/2002] I understand how to divide fractions, but what if one of them is negative? Dividing Negative Exponents [10/14/1998] Why does a negative exponent become positive when you divide by it? Exponents and Negative numbers [03/02/1997] Why wouldn't the answer to -3 squared, standing alone and without parenthesis or brackets, be -9? Introduction to Negative Numbers [08/11/1998] What is 11 - 12? How can you subtract more than what you have? Manipulating Positive and Negative Numbers [8/9/1996] Could you explain the rules for adding, subtracting, multiplying, and dividing positive and negative numbers? Multiplying Negative by Negative [11/6/1994] Neg x Neg = Pos just doesn't make sense. Does it ever happen in real life? Negative Bases [06/10/1999] Are there such things as negative bases? Negative Number Rules [01/05/1998] When do two negative numbers equal a positive? Negative Times a Negative [01/12/1997] Can you give an example why a negative times a negative is positive? Negative Times Negative [10/17/1998] An example using videotaping to explain how a negative times a negative is a positive. Operating on Negative Numbers [10/21/1996] I have lots of problems multiplying and dividing integers - the negative and positive numbers give me a really hard time. Picturing Negative Numbers [11/03/2002] If I have 4 apples and eat them, I get 0 apples. But I can't eat another apple, so how do I get to minus 1? Prove That -(-a) = a [09/11/2001] How do you prove that -(-a) = a using the properties of real numbers? What about -1 * -1 = 1? Signs: Rules, Number Line [07/13/2001] What is (-) - (+) = ? or (+) + (-) = ? Squaring Negative Numbers [02/19/2002] Does -9^2 = 81 or -81? Subtracting Negative Integers - Number Line [10/15/1996] How do you subtract integers like 5-(-6) ? Subtracting Negative Numbers [03/30/1997] I have trouble explaining subtracting negative numbers to my students. I think the underlying problem is that I truly don't understand it myself. Subtracting Numbers by Walking a Number Line [09/12/2001] For example: -8.1- -6.9 = -1.2 and -9.9- -11.1 = 1.2. All the numbers are negative, so why is the answer to the first problem negative but the second isn't? Subtracting Positive and Negative Numbers [5/21/1996] How would you figure out the answer to -13 - 6 = ? and how can you subtract a negative number from a positive number or a positive number from a negative number? Tips for Negative and Positive Numbers [11/30/2001] I really get confused when adding a negative and a positive. Working with Integers [01/12/1999] Could you explain how to divide, multiply, add, and subtract integers? -6 times -6 [11/3/1994] I really need to know what the answer to this problem is. -6 X -6 91 - 92 = ? [01/23/1997] What does 91 - 92 equal? Adding and Subtracting Integers [12/31/1997] Adding and subtracting integers like 12 + (-4) = ... Adding and Subtracting Integers [04/17/2006] Can you explain how to add and subtract negative numbers? Adding and Subtracting Negative Integers as Temperatures [01/08/2004] If it's -20 degrees outside and it decreases 3 degrees what temperature is it? I know the answer is -23 degrees but it seems like it should be -17 degrees. Adding and Subtracting Negative Numbers [02/07/2002] What is (-1) - 5 + -8 equal to? Adding Negative Numbers [03/12/1997] What are examples of adding negative numbers in the real world? Adding Negatives [12/04/1997] What is -2 - 7/10 ? Is it -1 3/10 or -2 7/10? Adding Positives and Negatives [12/01/1998] I'm having trouble solving problems like these: -31+(-46)=b, a=16+(- 36), and 74+(-63)=d. Algebra and Exponents: -4^2 = ? [06/30/1998] I had an argument with a professor over this topic. I say 16, he says - 16. Algebraic Proof That Positive Times Negative Equals Negative [03/28/2004] Is there an algebraic proof that a positive times a negative equals a negative? Algebra Tiles and Negatives [11/05/2001] Use a model (algebra tiles) to demonstrate that a negative times a negative = a positive. Avoiding Careless Mistakes [01/30/2002] How can I avoid careless mistakes? Can a Number to the Zero Power be -1? [01/25/2002] My teacher told me that (-3^0) is equal to -1. Is this true? Celsius to Fahrenheit [04/26/1999] How do you convert Celsius to Fahrenheit? Converting Negative Mixed Numbers to Improper Fractions [10/25/2006] When converting a negative mixed number into an improper fraction, it seems like we ignore the rules for integer addition. For example, to convert -4 1/7 we think -4 1/7 = -4 * 7 + 1 = -28 + 1 = -27/7. But the correct answer is -29/7. How does -28 + 1 make -29? Page:  1  2  3 [next>]

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