what is 2 times negative 2 We know that 2 times 2 is 4 But here we have a negative times a positive 2 and it turns out that when you multiply a negative times a positive you get a negative So that s another rule Negative times positive is equal to negative What happens if you have a
Multiplication with the distributive property negative times negative The distributive property works the same with negative numbers as with positive numbers and 0 Let s use it to see what happens when we multiply two negative numbers starting with the example 7 3 Before we do make a prediction Yes indeed two negatives make a positive and we will explain why with examples Signs Let s talk about signs is the positive sign is the negative sign When a number has no sign it usually means that it is positive Example 5 is really 5 And we can put around the numbers to avoid confusion
what is 2 times negative 2
what is 2 times negative 2
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So this could be negative 2 plus negative 2 plus negative 2 not negative 6 plus negative 2 which would be equal to well negative 2 plus negative 2 is negative 4 plus another negative 2 is negative 6 So this would be equal to negative 6 Or another way to think about it is if I had 2 times 3 I would get 6 Here we ll focus on when we multiply two negative numbers Multiplying two negative numbers will result in a positive number This is because the negative numbers cancel each other out through factoring 4 3 1 4 1 3 4 3 12
Then the rules for multiplying with negatives are plus times plus is a plus firing the burner causes the balloon to rise minus times plus is a minus turning the burner off causes the balloon to sink plus times minus is a minus adding sand bags causes the balloon to sink minus times minus is a plus Rule 2 A positive number times a negative number gives you a negative number Example 2 This is new for example you might have 4 x 3 The 4 is positive but the 3 is negative so our answer has to be negative Thus we multiply the numbers together as we normally would and then put a negative sign in front of our answer So 4 x 3 12
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By the definition if it is 2 we would multiply the base times itself negative two times In actuality what is happening here we take the reciprocal of the base and change the negative exponent to positive and proceed as usual If you d like to work it out by hand do the following Determine the base and the exponent Free math problem solver answers your algebra homework questions with step by step explanations
Last updated October 19 2023 Free online math calculator to add subtract multiply and divide positive and negative numbers Online decimal calculator to find sum difference and products of numbers A negative exponent means how many times to divide by the number Example 8 1 1 8 1 8 0 125 Or many divides Example 5 3 1 5 5 5 0 008 But that can be done an easier way 5 3 could also be calculated like 1 5 5 5 1 53 1 125 0 008 That last example showed an easier way to handle negative exponents
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what is 2 times negative 2 - Multiplication often denoted by the cross symbol by a point by juxtaposition or on computers by an asterisk is one of the four elementary mathematical operations of arithmetic with the others being addition subtraction and division Calculator to give out the multiplication result of two whole numbers