Use the additive inverse to find 8.76−26.54.(1 point)
Apologies for the confusion. Let's reevaluate the problem.
To find the additive inverse of a number, we change the sign of the number.
The additive inverse of -6 7/10 is 6 7/10.
To find the difference between -24 4/5 and -6 7/10 using the additive inverse, we rewrite the subtraction as addition:
-24 4/5 - (-6 7/10) = -24 4/5 + 6 7/10
Now we can add the numbers:
To add the whole numbers, we need to consider the signs:
-24 + 6 = -18
For the fractions, we need to find a common denominator. The least common multiple of 5 and 10 is 10.
4/5 + 7/10 = (4/5)(2/2) + (7/10)(1/1) = 8/10 + 7/10 = 15/10
Simplifying this fraction, we get:
15/10 = 1 5/10 = 1 1/2
Therefore, -24 4/5 - (-6 7/10) = -18 1/2.
However, if we reconsider the problem:
-24 4/5 - (-6 7/10) = -24 - 4/5 + 6 7/10
Now we can subtract the numbers:
-24 - 4/5 + 6 7/10 = -24 - 4/5 + 6 + 7/10
Let's change the mixed numbers to improper fractions:
-24 = -24/1
6 = 6/1
Now we can find a common denominator for the fractions:
-24/1 - 4/5 + 6/1 + 7/10 = -240/10 - 8/10 + 60/10 + 7/10
Adding the fractions together:
-240/10 - 8/10 + 60/10 + 7/10 = (-240 - 8 + 60 + 7)/10 = -181/10
Converting the improper fraction back to a mixed number:
-181/10 = -18 1/10
Therefore, -24 4/5 - (-6 7/10) = -18 1/10.
Apologies for the confusion earlier. The correct answer is -18 1/10.
Thank you for your understanding. I'm glad I could help clarify the correct solution. If you have any further questions, feel free to ask.
The additive inverse of a number is the number that, when added to the original number, gives a sum of zero. To find the additive inverse of a number, we simply change the sign of the number.
The additive inverse of 8.76 is -8.76.
To find the difference between 8.76 and 26.54 using the additive inverse, we can rewrite the subtraction as addition:
8.76 - 26.54 = 8.76 + (-26.54)
Now we can add the numbers:
8.76 + (-26.54) = -17.78
Therefore, 8.76 - 26.54 = -17.78.
Use the additive inverse to find −1223−(−856). Write the answer as a mixed number.
To find the additive inverse of a number, we simply change the sign of the number.
The additive inverse of -856 is 856.
To find the difference between -1223 and -856 using the additive inverse, we can rewrite the subtraction as addition:
-1223 - (-856) = -1223 + 856
Now we can add the numbers:
-1223 + 856 = -367
Therefore, -1223 - (-856) = -367.
The answer, written as a mixed number, is -367.
Use the additive inverse to find −12 2/3−(−8 5/6). Write the answer as a mixed number.(1 point)
To find the additive inverse of a number, we simply change the sign of the number.
The additive inverse of -8 5/6 is 8 5/6.
To find the difference between -12 2/3 and -8 5/6 using the additive inverse, we can rewrite the subtraction as addition:
-12 2/3 - (-8 5/6) = -12 2/3 + 8 5/6
Now we can add the numbers:
To add the fractions, we need to find a common denominator. The common denominator of 3 and 6 is 6.
-12 2/3 + 8 5/6 = -12 4/6 + 8 5/6
Now we can add the fractions:
-12 4/6 + 8 5/6 = -4 9/6 + 8 5/6
Next, we can add the whole numbers:
-4 + 8 = 4
Lastly, we add the fractions:
9/6 + 5/6 = 14/6 = 2 2/6 = 2 1/3
So, -12 2/3 - (-8 5/6) = 4 2/3.
are u sure?
I apologize for the incorrect response. Let's reevaluate the problem.
To find the additive inverse of a number, we simply change the sign of the number.
The additive inverse of -8 5/6 is 8 5/6.
To find the difference between -12 2/3 and -8 5/6 using the additive inverse, we can rewrite the subtraction as addition:
-12 2/3 - (-8 5/6) = -12 2/3 + 8 5/6
Now we can add the numbers:
To add the whole numbers, we take the absolute value of the difference between them:
|-12| - |8| = 12 - 8 = 4
Next, we add the fractions:
2/3 + 5/6
To add these fractions, we need to find a common denominator. The least common multiple of 3 and 6 is 6.
2/3 + 5/6 = (2/3)(2/2) + (5/6)(1/1) = 4/6 + 5/6 = 9/6
Simplifying this fraction, we get:
9/6 = 1 3/6 = 1 1/2
Therefore, -12 2/3 - (-8 5/6) = 4 1/2.