Find the additive and multiplicative inverse of -0.05.

Question

solomonzelman · Answer

For x,
Multiplicative inverse is 1/x
Additive inverse is -x

alyssajobug · Answer

I know one of the is 0.05 but I'm not sure the other

solomonzelman · Answer

Look at what I said above.

alyssajobug · Answer

so would it be 1/-5?

solomonzelman · Answer

no.

solomonzelman · Answer

Lets say you have 4.

alyssajobug · Answer

ok

solomonzelman · Answer

What makes 4 zero is  -4
so  -4  is additive inverse.

solomonzelman · Answer

Now multiplicative inverse is what makes 4 into 1
so for  4,  it would be  1/4.

solomonzelman · Answer

@alyssajobug, do you see how MULTIPLICATIVE inverse and ADDITIVE inverse work?

alyssajobug · Answer

kind of, I just learned about it, I think I get it. it would be more like 10/5 then?

solomonzelman · Answer

NO.

skullpatrol · Answer

$$\huge -0.05*?=1$$

skullpatrol · Answer

$$\huge -0.05+?=0$$

solomonzelman · Answer

@alyssajobug, lets continue from what @skullpatrol said.

for additive inverse,          -0.05+x=0
solve for x

for multiplicative inverse     -0.05x=1
solve for x

skullpatrol · Answer

opposite of a number: Each of the numbers in a pair such as 6 and -6 
or -2.5 and 2.5. Also called additive inverse.

reciprocals: Two numbers whose product is 1; also called multiplicative inverses.

alyssajobug · Answer

ok so, its -20 in the end right?

skullpatrol · Answer

Yes.

alyssajobug · Answer

THANK YOU GUYS!

skullpatrol · Answer

Thank you for trying to understand :)