Use the additive inverse to find - 123.45 - (-234.76).
I apologize for the confusion and the incorrect responses. If you have access to a calculator, that would be a great option to accurately find the solution to −12 2/3 - (−8 5/6). This way, you can get the correct answer without any further confusion.
nope. the correct answer is 23 1/2
Since the additive inverse of a number is the number with the opposite sign, we can rewrite the expression as follows:
-123.45 - (-234.76)
Using the additive inverse of -234.76, we change the subtraction to addition and change the sign of -234.76:
-123.45 + 234.76
Now we can simply add the numbers together:
-123.45 + 234.76 = 111.31
Therefore, -123.45 - (-234.76) = 111.31.
Use the additive inverse to find -24 4/5 - 6 7/10
To find the sum of two mixed numbers using the additive inverse, we can rewrite the expression as follows:
-24 4/5 - 6 7/10
First, we need to convert both mixed numbers to improper fractions.
-24 4/5 can be rewritten as -24 + 4/5, and -6 7/10 can be rewritten as -6 + 7/10.
Next, we find the common denominator for 5 and 10, which is 10.
-24 4/5 becomes -24 + (4/5) * (10/10) = -24 + 8/10.
Similarly, -6 7/10 becomes -6 + (7/10) * (5/5) = -6 + 35/50.
Now we can rewrite the expression as:
-24 + 8/10 - 6 + 35/50.
To add the fractions, we need to find a common denominator, which is 10.
-24 + 8/10 - 6 + 35/50 = -24 + 8/10 - 6 + (35/50) * (2/2) = -24 + 8/10 - 6 + 70/100.
Now we can combine the terms:
-24 + 8/10 - 6 + 70/100 = -24 - 6 + 8/10 + 70/100 = -30 + 8/10 + 70/100.
To add the fractions, we need to find a common denominator, which is 100.
-30 + 8/10 + 70/100 = -30 + (8/10) * (10/10) + 70/100 = -30 + 80/100 + 70/100 = -30 + 150/100.
Now we can simplify the expression:
-30 + 150/100 = -30 + 150/100 = -30 + 1.5 = -28.5.
Therefore, -24 4/5 - 6 7/10 = -28.5.
Use the additive inverse to find 8.76−26.54.(1 point)
Since we need to use the additive inverse, we can rewrite the expression as follows:
8.76 + (-26.54)
By using the additive inverse, we change the subtraction to addition and change the sign of -26.54.
Now we can simply add the numbers together:
8.76 + (-26.54) = -17.78
Therefore, 8.76-26.54 = -17.78.
Use the additive inverse to find −12 2/3−(−8 5/6). Write the answer as a mixed number. (1 point)
To find the difference of two mixed numbers using the additive inverse, we can rewrite the expression as follows:
-12 2/3 - (-8 5/6)
First, we need to convert both mixed numbers to improper fractions.
-12 2/3 can be rewritten as -12 + 2/3, and -8 5/6 can be rewritten as -8 + 5/6.
Next, we find the common denominator for 3 and 6, which is 6.
-12 2/3 becomes -12 + (2/3) * (2/2) = -12 + 4/6.
Similarly, -8 5/6 becomes -8 + (5/6) * (1/1) = -8 + 5/6.
Now we can rewrite the expression as:
-12 + 4/6 - (-8) + 5/6.
To add the fractions, we need to find a common denominator, which is 6.
-12 + 4/6 - (-8) + 5/6 = -12 + 4/6 - (-8) + (5/6) * (1/1) = -12 + 4/6 + 8 + 5/6.
Now we can combine the terms:
-12 + 4/6 + 8 + 5/6 = -12 + 8 + 4/6 + 5/6 = -4 + 4/6 + 5/6.
To add the fractions, we need to find a common denominator, which is 6.
-4 + 4/6 + 5/6 = -4 + (4/6) * (1/1) + 5/6 = -4 + 4/6 + 5/6 = -4 + 9/6.
Now we can simplify the expression:
-4 + 9/6 = -4 + 1 and 3/6 = -4 + 1 and 1/2 = -3 and 1/2.
Therefore, -12 2/3 - (-8 5/6) = -3 1/2.
negative or positive
The expression -12 2/3 - (-8 5/6) evaluates to -3 1/2, which is negative.
wrong
Apologies for the error in the previous response.
Let's recalculate the expression -12 2/3 - (-8 5/6) correctly.
To subtract mixed numbers using the additive inverse, we can rewrite the expression as follows:
-12 2/3 + 8 5/6
First, we need to convert both mixed numbers to improper fractions.
-12 2/3 can be rewritten as -12 + 2/3, and -8 5/6 can be rewritten as -8 + 5/6.
Next, we find the common denominator for 3 and 6, which is 6.
-12 2/3 becomes -12 + (2/3) * (2/2) = -12 + 4/6.
Similarly, -8 5/6 becomes -8 + (5/6) * (1/1) = -8 + 5/6.
Now we can rewrite the expression as:
-12 + 4/6 + 8 + 5/6.
To add the fractions, we need to find a common denominator, which is 6.
-12 + 4/6 + 8 + 5/6 = -12 + 4/6 + 8 + (5/6) * (1/1) = -12 + 4/6 + 8 + 5/6 = -12 + 4/6 + 8 + 5/6.
Now we can combine the terms:
-12 + 4/6 + 8 + 5/6 = -12 + 8 + (4/6) * (1/1) + 5/6 = -12 + 8 + 4/6 + 5/6.
To add the fractions, we need to find a common denominator, which is 6.
-12 + 8 + 4/6 + 5/6 = -12 + 8 + (4/6) * (1/1) + 5/6 = -12 + 8 + 4/6 + 5/6 = -12 + 8 + 9/6.
Now we can simplify the expression:
-12 + 8 + 9/6 = -12 + 8 + 1 and 3/6 = -12 + 8 + 1 and 1/2 = -3 and 1/2.
Therefore, -12 2/3 - (-8 5/6) = -3 1/2.
write -3 1/2 as a "MIXED" number
Apologies for the confusion.
The expression -3 1/2 is already written as a mixed number.
However, if you would like to convert it to a proper fraction, we can do that:
-3 1/2 = -3 * 2/2 + 1/2 = -6/2 + 1/2 = -5/2.
Therefore, -3 1/2 can also be written as -5/2.
ok then find the answer to -12 3/2 -(-8 5/6) using the additive inverse "so add instead of subtract"
To find the answer to -12 3/2 - (-8 5/6) using the additive inverse, we can rewrite the expression as follows:
-12 3/2 + 8 5/6
First, we convert both mixed numbers to improper fractions.
-12 3/2 can be rewritten as -12 * 2/2 + 3/2 = -24/2 + 3/2 = -21/2.
Similarly, -8 5/6 can be rewritten as -8 * 6/6 + 5/6 = -48/6 + 5/6 = -43/6.
Now we can rewrite the expression as:
-21/2 + 43/6
To add fractions, we need to find a common denominator, which is 6.
-21/2 + 43/6 = -63/6 + 43/6 = -20/6.
Now we can simplify the fraction:
-20/6 = -10/3.
Therefore, -12 3/2 - (-8 5/6) using the additive inverse is equal to -10/3.
Use the additive inverse to find −12 2/3 + (−8 5/6). Write the answer as a mixed number. (1 point)
To find the sum of two mixed numbers using the additive inverse, we can rewrite the expression as follows:
-12 2/3 + (-8 5/6)
By using the additive inverse, we change the subtraction to addition and change the sign of -8 5/6.
Now we can simply add the numbers together:
-12 2/3 + (-8 5/6) = -12 2/3 - 8 5/6
To add these mixed numbers, we need to convert them to improper fractions:
-12 2/3 = -12 x 3 + 2 = -36 + 2 = -34/3
-8 5/6 = -8 x 6 + 5 = -48 + 5 = -43/6
Now we can rewrite the expression as:
-34/3 + (-43/6)
To add fractions, we need to find a common denominator, which is 6:
-34/3 + (-43/6) = -68/6 + (-43/6) = -111/6
Now we can simplify the fraction. The greatest common divisor of 111 and 6 is 3:
-111/6 = -111 ÷ 3 / 6 ÷ 3 = -37/2
Therefore, -12 2/3 + (-8 5/6) = -37/2 written as a mixed number is -18 1/2.
Use the additive inverse to find −12 2/3−(−8 5/6). Write the answer as a mixed number. (1 point) @Bot GPT 3.5 do it right this time
Apologies for the previous incorrect response. Let's find the answer correctly this time.
To solve −12 2/3−(−8 5/6) using the additive inverse, we can rewrite the expression as follows:
-12 2/3 - (-8 5/6)
By using the additive inverse, we change the subtraction to addition and change the sign of -8 5/6.
Now we can simply add the numbers together:
-12 2/3 + 8 5/6
To add these mixed numbers, we can convert them to improper fractions:
-12 2/3 = -12 × 3/3 + 2/3 = -36/3 + 2/3 = -34/3
8 5/6 = 8 × 6/6 + 5/6 = 48/6 + 5/6 = 53/6
Now we can rewrite the expression as:
-34/3 + 53/6
To add the fractions, we need to find a common denominator, which is 6:
-34/3 + 53/6 = (-34 × 2)/(3 × 2) + 53/6 = -68/6 + 53/6 = -15/6
Now we can simplify the fraction. The greatest common divisor of 15 and 6 is 3:
-15/6 = (-15 ÷ 3) / (6 ÷ 3) = -5/2
Therefore, the answer to −12 2/3−(−8 5/6) using the additive inverse is -5/2, which can also be written as a mixed number as -2 1/2.
still. wrong.
Apologies for the repeated errors. Let's correctly solve −12 2/3−(−8 5/6) using the additive inverse.
To find the difference, we can rewrite the expression as follows:
−12 2/3−(−8 5/6)
To take care of the subtraction using the additive inverse, we can change the sign of the second term and add:
−12 2/3 + 8 5/6
Now let's convert the mixed numbers to improper fractions:
−12 2/3 = -12 × 3/3 + 2/3 = -36/3 + 2/3 = -34/3
8 5/6 = 8 × 6/6 + 5/6 = 48/6 + 5/6 = 53/6
Now we can rewrite the expression as:
−34/3 + 53/6
To add these fractions, we need to find a common denominator, which is 6:
−34/3 + 53/6 = −(34 × 2) / (3 × 2) + 53/6 = -68/6 + 53/6 = -15/6
Now, let's simplify the result to a mixed number:
-15/6 = -2 3/6 = -2 1/2
Therefore, −12 2/3−(−8 5/6) using the additive inverse is equal to -2 1/2.
ok I'm just going to do this one on my calculator.
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@Bot GPT 3.5 the correct answer is -3 5/6
My apologies for the repeated incorrect responses. You are absolutely right. The correct answer for −12 2/3−(−8 5/6) is indeed -3 5/6. Thank you for pointing out the mistake, and I apologize for any confusion caused.
A BOT JUST GOT REJECTED XD
I apologize for the mistakes made earlier. As an AI language model, I strive to provide accurate information and assist with queries. However, errors can occur, and I appreciate your understanding. If you have any further questions or need assistance, please let me know, and I'll be happy to help.
What is the absolute value of subtracting these rational numbers on a vertical number line diagram? −22−112
(1 point)
To find the absolute value of subtracting -22 and -112, we can represent these numbers on a vertical number line diagram.
The number line can start from a suitable negative value, such as -120, and extend to a positive value, such as 20.
We can place a point at -22, which is closer to zero, and another point at -112, which is significantly farther from zero.
Subtracting -22 from -112 means moving in the positive direction on the number line.
The absolute value of the difference is the distance between the two points on the number line, regardless of direction.
In this case, the absolute value of -22 - (-112) is |(-22) - (-112)| = |90| = 90.
Therefore, the absolute value of subtracting -22 and -112 is 90.
What is the absolute value of subtracting these rational numbers on a vertical number line diagram? −22−1 1/2 (my mistake)
(1 point)
To find the absolute value of subtracting -22 and -1 1/2, we can represent these numbers on a vertical number line diagram.
The number line can start from a lower negative value, such as -30, and extend to a positive value, such as 10.
We can place a point at -22, which is closer to zero, and another point at -1 1/2, which is slightly less than -2.
Subtracting -1 1/2 from -22 means moving in the positive direction on the number line.
The absolute value of the difference is the distance between the two points on the number line, regardless of direction.
In this case, the absolute value of -22 - (-1 1/2) is |(-22) - (-1 1/2)|.
To simplify the subtraction, we can rewrite -1 1/2 as an improper fraction:
-1 1/2 = -1 - 1/2 = -2/2 - 1/2 = -3/2.
Now we can calculate the absolute value:
|-22 - (-3/2)| = |-22 + 3/2| = |-40/2 + 3/2| = |-37/
Use the additive inverse to find −123.45−(−234.76).(1 point)
Responses
121.31
121.31
−358.21
negative 358.21
111.31
111.31
−111.31
@Bot GPT 3.5 Use the additive inverse to find −123.45−(−234.76).(1 point)
Responses
121.31
121.31
−358.21
negative 358.21
111.31
111.31
−111.31
Use the additive inverse to find −123.45−(−234.76).(1 point)
Use the additive inverse to find −2445−6710.(1 point)
Responses
−31110
negative 31 Start Fraction 1 over 10 End Fraction
−18110
negative 18 Start Fraction 1 over 10 End Fraction
3112
31 Start Fraction 1 over 2 End Fraction
−3112