The additive inverse of a number x is the number that, when added to x, equals zero.
To find the additive inverse of a number, we can multiply it by -1.
So, the additive inverse of 8.76 is -8.76, and the additive inverse of 26.54 is -26.54.
To find 8.76 - 26.54, we can rewrite the equation as 8.76 + (-26.54).
This means we can add the additive inverse of 26.54 to 8.76.
Therefore, 8.76 - 26.54 = 8.76 + (-26.54) = -17.78.
use the additive inverse to find 8.76 - 26.54. (1 points)
29 answers
use the additive inverse to find -12 2/3 - (8 5/6). write your answer as a mixed number.(1 point)
To find the sum of -12 2/3 and (8 5/6) using the additive inverse, we can rewrite the subtraction as addition with the additive inverse of the second number.
The additive inverse of 8 5/6 is -8 5/6 (we simply change the sign of the whole number and the fraction).
So, -12 2/3 - (8 5/6) becomes -12 2/3 + (-8 5/6).
To add these mixed numbers, we need to find a common denominator for the fractions, which is 6.
Converting -12 2/3 to an improper fraction:
-12 2/3 = -(12 * 3 + 2) / 3 = -38/3.
Converting -8 5/6 to an improper fraction:
-8 5/6 = -(8 * 6 + 5) / 6 = -53/6.
Now we can add the fractions, keeping the same denominator:
-38/3 + (-53/6).
To add these fractions, we need to find a common denominator, which is 6.
-38/3 = -76/6.
Now we can add the fractions:
-76/6 + (-53/6) = -129/6.
-129 divided by 6 is -21 with a remainder of 3.
So, the answer is -21 3/6, which can be simplified to -21 1/2.
The additive inverse of 8 5/6 is -8 5/6 (we simply change the sign of the whole number and the fraction).
So, -12 2/3 - (8 5/6) becomes -12 2/3 + (-8 5/6).
To add these mixed numbers, we need to find a common denominator for the fractions, which is 6.
Converting -12 2/3 to an improper fraction:
-12 2/3 = -(12 * 3 + 2) / 3 = -38/3.
Converting -8 5/6 to an improper fraction:
-8 5/6 = -(8 * 6 + 5) / 6 = -53/6.
Now we can add the fractions, keeping the same denominator:
-38/3 + (-53/6).
To add these fractions, we need to find a common denominator, which is 6.
-38/3 = -76/6.
Now we can add the fractions:
-76/6 + (-53/6) = -129/6.
-129 divided by 6 is -21 with a remainder of 3.
So, the answer is -21 3/6, which can be simplified to -21 1/2.
thats wrong
I apologize for the mistake. Let's try again.
To find -12 2/3 - (8 5/6) using the additive inverse, we can rewrite it as -12 2/3 + (-8 5/6).
First, convert the mixed numbers to improper fractions:
-12 2/3 = -(12 * 3 + 2) / 3 = -38/3
-8 5/6 = -(8 * 6 + 5) / 6 = -53/6
Now, add the fractions:
-38/3 + (-53/6)
To add fractions, we need a common denominator. The least common multiple of 3 and 6 is 6.
Multiply -38/3 by 2/2:
(-38/3) * (2/2) = -76/6
Now, we can add the fractions:
-76/6 + (-53/6) = -129/6
The fraction -129/6 can be simplified by dividing both the numerator and denominator by their greatest common divisor, 3:
-129/6 = -43/2
Converting the improper fraction back to a mixed number, we have:
-43/2 = -21 1/2
Thus, -12 2/3 - (8 5/6) equals -21 1/2.
To find -12 2/3 - (8 5/6) using the additive inverse, we can rewrite it as -12 2/3 + (-8 5/6).
First, convert the mixed numbers to improper fractions:
-12 2/3 = -(12 * 3 + 2) / 3 = -38/3
-8 5/6 = -(8 * 6 + 5) / 6 = -53/6
Now, add the fractions:
-38/3 + (-53/6)
To add fractions, we need a common denominator. The least common multiple of 3 and 6 is 6.
Multiply -38/3 by 2/2:
(-38/3) * (2/2) = -76/6
Now, we can add the fractions:
-76/6 + (-53/6) = -129/6
The fraction -129/6 can be simplified by dividing both the numerator and denominator by their greatest common divisor, 3:
-129/6 = -43/2
Converting the improper fraction back to a mixed number, we have:
-43/2 = -21 1/2
Thus, -12 2/3 - (8 5/6) equals -21 1/2.
-12 2/3 - (8 5/6). write your answer as a mixed number.(1 point)
To find -12 2/3 - (8 5/6), we can rewrite it as -12 2/3 + (-8 5/6).
First, let's convert the mixed numbers to improper fractions:
-12 2/3 = -(12 * 3 + 2) / 3 = -38/3
8 5/6 = (8 * 6 + 5) / 6 = 53/6
Now, let's add the fractions:
-38/3 + (-53/6)
To add fractions, we need a common denominator. The least common multiple of 3 and 6 is 6.
Multiply the fractions to have a common denominator of 6:
(-38/3) * (2/2) = -76/6
Now, we can add the fractions:
-76/6 + (-53/6) = -129/6
The fraction -129/6 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
-129/6 = -(129/3) / (6/3) = -43/2
Converting the improper fraction back to a mixed number, we have:
-43/2 = -21 1/2
Thus, -12 2/3 - (8 5/6) equals -21 1/2.
First, let's convert the mixed numbers to improper fractions:
-12 2/3 = -(12 * 3 + 2) / 3 = -38/3
8 5/6 = (8 * 6 + 5) / 6 = 53/6
Now, let's add the fractions:
-38/3 + (-53/6)
To add fractions, we need a common denominator. The least common multiple of 3 and 6 is 6.
Multiply the fractions to have a common denominator of 6:
(-38/3) * (2/2) = -76/6
Now, we can add the fractions:
-76/6 + (-53/6) = -129/6
The fraction -129/6 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
-129/6 = -(129/3) / (6/3) = -43/2
Converting the improper fraction back to a mixed number, we have:
-43/2 = -21 1/2
Thus, -12 2/3 - (8 5/6) equals -21 1/2.
use the additive inverse to find -12 2/3 - (-8 5/6). write your answer as a mixed number.(1 point)
To find -12 2/3 - (-8 5/6) using the additive inverse, we can rewrite it as -12 2/3 + (8 5/6).
First, let's convert the mixed numbers to improper fractions:
-12 2/3 = -(12 * 3 + 2) / 3 = -38/3
-8 5/6 = -(8 * 6 + 5) / 6 = -53/6
Now, let's add the fractions:
-38/3 + (53/6)
To add fractions, we need a common denominator. Since 3 and 6 both divide evenly into 6, we can use 6 as the common denominator.
Multiplying -38/3 by 2/2 to get the same denominator:
(-38/3) * (2/2) = -76/6
Now, we can add the fractions:
-76/6 + 53/6 = -23/6
The resulting fraction, -23/6, cannot be simplified any further.
Converting the fraction to a mixed number, we divide the numerator (-23) by the denominator (6) and express any remainder as a fraction of the denominator:
-23 ÷ 6 = -3 remainder 5
Therefore, the answer is -3 5/6.
First, let's convert the mixed numbers to improper fractions:
-12 2/3 = -(12 * 3 + 2) / 3 = -38/3
-8 5/6 = -(8 * 6 + 5) / 6 = -53/6
Now, let's add the fractions:
-38/3 + (53/6)
To add fractions, we need a common denominator. Since 3 and 6 both divide evenly into 6, we can use 6 as the common denominator.
Multiplying -38/3 by 2/2 to get the same denominator:
(-38/3) * (2/2) = -76/6
Now, we can add the fractions:
-76/6 + 53/6 = -23/6
The resulting fraction, -23/6, cannot be simplified any further.
Converting the fraction to a mixed number, we divide the numerator (-23) by the denominator (6) and express any remainder as a fraction of the denominator:
-23 ÷ 6 = -3 remainder 5
Therefore, the answer is -3 5/6.
what is the distance between -8 and 16 on a number line?(1 point)
The distance between -8 and 16 on a number line can be found by taking the absolute difference between the two numbers.
Absolute difference is obtained by subtracting the smaller number from the greater number, regardless of their signs.
In this case, -8 is the smaller number and 16 is the greater number.
So, the distance between -8 and 16 is |16 - (-8)|.
Simplifying the expression, we have |16 + 8| = |24|.
The absolute value of 24 is simply 24.
Therefore, the distance between -8 and 16 on a number line is 24.
Absolute difference is obtained by subtracting the smaller number from the greater number, regardless of their signs.
In this case, -8 is the smaller number and 16 is the greater number.
So, the distance between -8 and 16 is |16 - (-8)|.
Simplifying the expression, we have |16 + 8| = |24|.
The absolute value of 24 is simply 24.
Therefore, the distance between -8 and 16 on a number line is 24.
what is the distance between 18.25 and -7.4 on the number line?(1 point)
The distance between 18.25 and -7.4 on a number line can be found by taking the absolute difference between the two numbers.
Absolute difference is obtained by subtracting the smaller number from the greater number, regardless of their signs.
In this case, 18.25 is the greater number and -7.4 is the smaller number.
So, the distance between 18.25 and -7.4 is |18.25 - (-7.4)|.
Simplifying the expression, we have |18.25 + 7.4| = |25.65|.
The absolute value of 25.65 is simply 25.65.
Therefore, the distance between 18.25 and -7.4 on a number line is 25.65.
Absolute difference is obtained by subtracting the smaller number from the greater number, regardless of their signs.
In this case, 18.25 is the greater number and -7.4 is the smaller number.
So, the distance between 18.25 and -7.4 is |18.25 - (-7.4)|.
Simplifying the expression, we have |18.25 + 7.4| = |25.65|.
The absolute value of 25.65 is simply 25.65.
Therefore, the distance between 18.25 and -7.4 on a number line is 25.65.
subtract 12 - (-8). (1 point)
To subtract 12 - (-8), we can rewrite the subtraction as addition with the additive inverse of -8.
The additive inverse of -8 is 8 (we simply change the sign).
So, 12 - (-8) becomes 12 + 8.
Now we can perform the addition:
12 + 8 = 20.
Therefore, 12 - (-8) is equal to 20.
The additive inverse of -8 is 8 (we simply change the sign).
So, 12 - (-8) becomes 12 + 8.
Now we can perform the addition:
12 + 8 = 20.
Therefore, 12 - (-8) is equal to 20.
use the additive inverse to find -123.45 - (-234.78).(1 point)
To find -123.45 - (-234.78) using the additive inverse, we can rewrite it as -123.45 + 234.78.
Now we can perform the addition:
-123.45 + 234.78 = 111.33.
Therefore, -123.45 - (-234.78) is equal to 111.33.
Now we can perform the addition:
-123.45 + 234.78 = 111.33.
Therefore, -123.45 - (-234.78) is equal to 111.33.
use the additive inverse to find -123.45 - (-234.76).(1 point)
To find -123.45 - (-234.76) using the additive inverse, we can rewrite it as -123.45 + 234.76.
Now we can perform the addition:
-123.45 + 234.76 = 111.31.
Therefore, -123.45 - (-234.76) is equal to 111.31.
Now we can perform the addition:
-123.45 + 234.76 = 111.31.
Therefore, -123.45 - (-234.76) is equal to 111.31.
use the additive inverse to find -24 4/5 - 6 7/10. (1 point)
To find -24 4/5 - 6 7/10 using the additive inverse, we can rewrite it as -24 4/5 + (-6 7/10).
First, let's convert the mixed numbers to improper fractions:
-24 4/5 = -(24 * 5 + 4) / 5 = -124/5
6 7/10 = (6 * 10 + 7) / 10 = 67/10
Now, let's add the fractions:
-124/5 + (-67/10)
To add fractions, we need a common denominator. The least common multiple of 5 and 10 is 10.
Multiply the fractions to have a common denominator of 10:
(-124/5) * (2/2) = -248/10
Now, we can add the fractions:
-248/10 + (-67/10) = -315/10
The fraction -315/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:
-315/10 = -(315/5) / (10/5) = -63/2
Converting the improper fraction back to a mixed number, we have:
-63/2 = -31 1/2
Thus, -24 4/5 - 6 7/10 equals -31 1/2.
First, let's convert the mixed numbers to improper fractions:
-24 4/5 = -(24 * 5 + 4) / 5 = -124/5
6 7/10 = (6 * 10 + 7) / 10 = 67/10
Now, let's add the fractions:
-124/5 + (-67/10)
To add fractions, we need a common denominator. The least common multiple of 5 and 10 is 10.
Multiply the fractions to have a common denominator of 10:
(-124/5) * (2/2) = -248/10
Now, we can add the fractions:
-248/10 + (-67/10) = -315/10
The fraction -315/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:
-315/10 = -(315/5) / (10/5) = -63/2
Converting the improper fraction back to a mixed number, we have:
-63/2 = -31 1/2
Thus, -24 4/5 - 6 7/10 equals -31 1/2.
determine the distance between 6.5 and -7.2 on a number lime.(1 point)
The distance between two points on a number line can be found by taking the absolute difference between the two numbers.
In this case, we have 6.5 and -7.2.
The absolute difference between 6.5 and -7.2 is |6.5 - (-7.2)|.
Simplifying the expression, we have |6.5 + 7.2|.
Adding 6.5 and 7.2 gives us 13.7.
Therefore, the distance between 6.5 and -7.2 on a number line is 13.7.
In this case, we have 6.5 and -7.2.
The absolute difference between 6.5 and -7.2 is |6.5 - (-7.2)|.
Simplifying the expression, we have |6.5 + 7.2|.
Adding 6.5 and 7.2 gives us 13.7.
Therefore, the distance between 6.5 and -7.2 on a number line is 13.7.
subtract -6 - (-8) (1 point)
To subtract -6 - (-8), we can rewrite it as -6 + 8.
Now we can perform the addition:
-6 + 8 = 2.
Therefore, -6 - (-8) is equal to 2.
Now we can perform the addition:
-6 + 8 = 2.
Therefore, -6 - (-8) is equal to 2.
subtract 17 - (-18) (1 point)
To subtract 17 - (-18), we can rewrite it as 17 + 18.
Now we can perform the addition:
17 + 18 = 35.
Therefore, 17 - (-18) is equal to 35.
Now we can perform the addition:
17 + 18 = 35.
Therefore, 17 - (-18) is equal to 35.
all are correct thanks bot
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