Integer rulesupload2
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This document provides explanations and examples of multiplying positive and negative numbers. It explains that when multiplying two positive numbers or two negative numbers, the result is positive. However, when multiplying a positive and a negative number, the result is negative. Examples are given using a number line to visualize moving forward or backward the appropriate number of steps.
Integer rulesupload2
- 1. - - - + + + - - - + + +
- 2. “You add the two numbers together!” e.g. 2 - -1 (Two take away negative one) 2 - -1 2 - -1 = 3 There are no negatives to take x away! Make zeros! Now we can take away a negative.
- 3. “Find the difference and make it a positive!” e.g. -2 - -3 = 1 (The difference is one) so = 1 -2 - -3 -2 - -3 = 1 There are no (zeroes) xx xx negatives to take away! We now have enough negatives Make zeros! to take away!
- 4. “Find the difference and make it a negative!” e.g. 2 - 3 (The difference is one) so = -1 Use a number line. Go back 3 numbers Starting number Taking away a positive makes us go this way on the number line.
- 5. “You get a positive!” e.g. 2 x 2 (Two times two) 1 lot of 2 2 x 2 2 lots of 2 = 4! 2 lots of 2 These are positive whole numbers, which Here are two lots we have worked with of two before It’s like saying 2+2. That’s called repeated addition!
- 6. “You get a positive!” e.g. - 2 x -3 (Negative two times negative three) Next, we need to decide how many steps to go backwards It’s just like Negative two is the first normal number, so we look in multiplying! the direction of the Start at zero 2x3 negative numbers Now I have to go That must mean I backwards from have to move 6 the way I am spaces, backwards, I’m looking in the looking! from the way I was direction of the facing, which was to negative the negatives! numbers I’ve ended up on - 2 x -3 = 6 positive 6!
- 7. “You get a negative!” Next, we need to e.g. 2 x -3 (Two times negative three) decide how many steps to go backwards It’s just like normal multiplying! Positive two is the first Start at zero 2x3 number, so we look in the direction of the Now I have to go positive numbers backwards from That must mean I the way I am have to move 6 looking! spaces, backwards, from the way I was facing, which was to I’m looking in the the positives! direction of the positive numbers 2 x -3 = -6 I’ve ended up on negative 6!
- 8. “You get a negative!” e.g. -2 x 3 (Negative two times positive three) Next, we need to decide how many steps to go forwards It’s just like normal multiplying! Negative two is the first Start at zero 2x3 number, so we look in the direction of the Now I have to go negative numbers forwards from the That must mean I way I am looking. have to move 6 spaces, forwards, from the way I was facing, which was to I’m looking in the the negative! direction of the negative numbers -2 x 3 = -6 I’ve ended up on negative 6!