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### Course: 7th grade (Eureka Math/EngageNY) > Unit 2

Lesson 2: Topic B: Multiplication and division of integers and rational numbers- Multiplying a positive and a negative number
- Multiplying two negative numbers
- Why a negative times a negative is a positive
- Why a negative times a negative makes sense
- Signs of expressions
- Multiplying positive & negative numbers
- Dividing positive and negative numbers
- Multiplying negative numbers
- Dividing negative numbers
- One-step equations with negatives (multiply & divide)
- Multiplying negative numbers review
- Dividing negative numbers review
- Rewriting decimals as fractions: 2.75
- Write decimals as fractions
- Rewriting decimals as fractions challenge
- Fraction to decimal: 11/25
- Worked example: Converting a fraction (7/8) to a decimal
- Fraction to decimal with rounding
- Converting fractions to decimals
- Multiplying positive and negative fractions
- Multiplying positive and negative fractions
- Dividing negative fractions
- Dividing positive and negative fractions
- Negative signs in fractions
- Negative signs in fractions
- Negative signs in fractions (with variables)
- Dividing mixed numbers
- Dividing mixed numbers with negatives
- Simplifying complex fractions
- Expressions with rational numbers
- Simplify complex fractions
- Equivalent expressions with negative numbers (multiplication and division)
- Equivalent expressions with negative numbers (multiplication and division)
- Why dividing by zero is undefined
- Dividing by zero

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# Multiplying negative numbers review

Review the basic of multiplying negative numbers and try some practice problems.

## Summary

Expression | Product | Example |
---|---|---|

positive | positive | |

negative | positive | |

negative | negative | |

positive | negative |

*Want to learn more about multiplying negative numbers? Check out this video.*

*Want to know why multiplying two negative numbers equals a positive number? Check out this video.*

## Want to join the conversation?

- Why are multiplying and dividing negatives the same?(79 votes)
- Multiplying and dividing negatives are the same because there is no difference between those sides of zero except the side of zero. So, when you multiply or divide negatives, you are basically multiplying positives with minus signs behind them. Don't forget that the product of 2 negative numbers is always a positive.(16 votes)

- why do people use . ( dot symbol) instead of x. if x is used common in algebra why did they put x in multiplication?(24 votes)
- X is a simpler way of teaching kids. Little kids might think they’re smarter than they really are and think that it’s a decimal point. As you get older, you realize the difference between this sign and a decimal point. Hope this helped!(25 votes)

- Why does the negative cancel out in
**neg / neg**and**neg * neg**?(11 votes)- Because you are adding to it's self making a positive, with integers you always do the inverse operation well let me not say always for certain operations.(6 votes)

- Why do we need letter in math? I know why we need fractions but why letter. Why cant it give us a problem like, The candy cost 10.00 but the sign says 5% off. Why do we need letters for a simple problem?(13 votes)
- its called algebra(2 votes)

- Hey guys. Is a positive+Positive+Negative and Negative or Positive?(7 votes)
- Depends. if positive + positive is more than the negative it positive ex. 6+4+-5=5 if positive + positive is less than the negative the answer is negative ex. 5+4+-10=-1.(9 votes)

- Why is it hard to remember is the signs will be negative(1 vote)
- I'm not entirely sure I understand your question, but if you're asking how to remember if an answer to a question will have a negative sign or not, just look at the table at the top of this review again. As a refresher:

positive x positive =*always*positive

negative x negative =*always*positive

positive x negative =*always*negative

negative x positive =*always*positive

And the same is always true when you're dividing too. Hope this helps.(18 votes)

- what if the first number is one and the negative number is -100(6 votes)
- if it is 1 dived by -100 then you take 1 divide it by onehundred and get -0.001. If you are multiplying 1 times -100 then you take 1 times -100, set this up so that would be -100 because there is still a negitive sign.(8 votes)

- why is negative x negative = positive

i am confusing about it.(7 votes)- if you remove a negative then you have a positive.(4 votes)

- is this algebra(4 votes)
- This is still considered arithmetic. Algebra is when you start using unknown numbers, like letters. But like Lukachew said, it's pre-algebra, so kinda like what you need to understand before understanding algebra.(2 votes)

- If two numbers have the same sign, then they will equal a positive number, if two signs are different, then they will equal a negative number. it's like apples and pears. You take a bite of two apples, you get the same taste, you take a bite of two pears, you get the same taste, but if you take a bite of one apple, and one pear at the same time, you get a different taste.(7 votes)