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### Course: MAP Recommended Practice>Unit 43

Lesson 10: Number opposites

# Number opposites

Opposites of numbers are essential in understanding number lines and basic math concepts. The opposite of a positive number is its negative counterpart, while the opposite of a negative number is its positive counterpart. Both numbers have the same absolute value but different signs, making them equally distant from zero on the number line.

## Want to join the conversation?

• How do you find a opposite from a fraction?
• There are negative fractions; these are the opposites of positive fractions. If you had 3/4 for instance, it's opposite is -3/4. There is also something else you can sorta classify as a opposite of a fraction-- its reciprocal. A reciprocal is just the fraction turned upside down; the reciprocal of 3/4 is 4/3. Hope I helped :)
• So basically whatever the positive number is, the opposite would be the same digit but with a negative at the front?
• Yes a positive number with a negative in front of it.
• negative numbers are useful in real life,but why do we need to learn opposites?
• to make us understand negatives
• How do you find the opposite of a fraction?
• To find the opposite of a fraction you just do the same thing you would do with a whole number. If you need to find the opposite of -4 1/2 , you can find the opposite of -4, Which is 4, then add the 1/2.
• what is the opposite of -20
• 20 because it's the same distance from zero as -20
• if the opposite of a number is the number the same distance from 0 what is the opposite.
• It is the same number, just it is a negative instead. If it is already a negative, than it is the same number but a positive instead.
• I heard about the function `absolute value` and I did not understand what it meant.
• The number's value from zero. For example, if you are standing on a starting line and walk backwards 7 meters you could say you went -7 meters distance (in other words you would have to go 7 meters just to get back to zero, or the starting line). However, the absolute value of how far you have walked would be 7 meters, not -7. In essence, it removes the negative from negative numbers, giving only their value (so -7 becomes 7, -215 becomes 215, etc.)
• Here's a hard one:
-3+-(4)
• If the signs are the same, you add and keep the sign, and if they are different you subtract and keep the sign of the larger number. So -3+-4 is -7