Use the additive inverse to find −24 4/5−6 7/10.(1 point)
Responses
−18 1/10
negative 18 Start Fraction 1 over 10 End Fraction
31 1/2
31 Start Fraction 1 over 2 End Fraction
−31 1/2
negative 31 Start Fraction 1 over 2 End Fraction
−31 1/10
To find the result, we need to subtract -6 7/10 from -24 4/5.
We can rewrite -6 7/10 as a mixed number: -6 7/10 = -6 + 7/10.
Now, let's find the additive inverse of -6 + 7/10. The additive inverse of a number is the number that when added to it gives zero. In this case, the additive inverse is the number that when added to -6 + 7/10 gives zero.
Therefore, the additive inverse of -6 + 7/10 is 6 - 7/10.
Now, we can subtract -6 + 7/10 from -24 4/5:
-24 4/5 - (-6 + 7/10)
= -24 4/5 - 6 + 7/10
Now, we can subtract the whole numbers and the fractions separately:
= (-24 - 6) + (4/5 - 7/10)
= -30 + (8/10 - 7/10)
= -30 + 1/10
Finally, the result is -30 1/10. So, the correct answer is −31 1/10.
To find the additive inverse of a number, you simply change its sign.
The given number is -24 4/5 - 6 7/10.
To find its additive inverse, we change the sign of each term.
So, the additive inverse is -(-24 4/5 - 6 7/10).
Next, we simplify the expression by distributing the negative sign to each term:
-(24 4/5) + (-6 7/10).
-24 4/5 can be written as -24 - 4/5.
And -6 7/10 can be written as -6 - 7/10.
So, the additive inverse of -24 4/5 - 6 7/10 is -(-24 - 4/5) - (-6 - 7/10).
Simplifying further, we get -(-24 - 4/5) - (-6 - 7/10) = 24 + 4/5 + 6 + 7/10.
Adding the terms, we get 24 + 6 + 4/5 + 7/10.
Combining the fractions, we get 24 + 6 + (8/10 + 7/10) = 30 + 15/10.
Simplifying, we get 30 + 1 5/10 = 30 + 1/2 = 31 1/2.
Therefore, the answer is 31 1/2.