To find the difference between -12 2/3 and -8 5/6, we need to subtract -8 5/6 from -12 2/3.
First, we can convert the mixed numbers to improper fractions:
-12 2/3 = -38/3
-8 5/6 = -53/6
Next, we need to find the additive inverse of -53/6, which is 53/6.
Now we can subtract the two fractions:
-38/3 - 53/6
To subtract fractions, we need to find a common denominator. The least common multiple of 3 and 6 is 6.
Multiplying the numerator and denominator of -38/3 by 2, we get -76/6.
Now we can subtract the two fractions:
-76/6 - 53/6 = -129/6
Simplifying the fraction, we get:
-129/6 = -21 3/6
However, this fraction can still be simplified further. Dividing the numerator and denominator by 3, we get:
-21 1/2
Therefore, the answer -12 2/3 - (-8 5/6) as a mixed number is -21 1/2.
Use the additive inverse to find −12 2/3−(−8 5/6). Write the answer as a mixed number.(1 point)
26 answers
wrong
I apologize for the mistake. Let's correct it.
To subtract -8 5/6 from -12 2/3, we need to find the additive inverse of -8 5/6, which is 8 5/6.
Now we can subtract the two numbers:
-12 2/3 - 8 5/6
To subtract mixed numbers, we need to find a common denominator for the fractions. The least common multiple of 3 and 6 is 6.
Converting -12 2/3 to an improper fraction:
-12 2/3 = -38/3
Converting 8 5/6 to an improper fraction:
8 5/6 = 53/6
Now we can subtract the fractions:
-38/3 - 53/6
To subtract the fractions, we need to have the same denominator. Multiplying the numerator and denominator of -38/3 by 2, we get -76/6.
Now we can subtract the fractions:
-76/6 - 53/6 = -129/6
Simplifying the fraction, we get:
-129/6 = -21 3/6
However, this fraction can still be simplified further. Dividing the numerator and denominator by 3, we get:
-21 1/2
Therefore, the correct answer for -12 2/3 - (-8 5/6) is -21 1/2.
To subtract -8 5/6 from -12 2/3, we need to find the additive inverse of -8 5/6, which is 8 5/6.
Now we can subtract the two numbers:
-12 2/3 - 8 5/6
To subtract mixed numbers, we need to find a common denominator for the fractions. The least common multiple of 3 and 6 is 6.
Converting -12 2/3 to an improper fraction:
-12 2/3 = -38/3
Converting 8 5/6 to an improper fraction:
8 5/6 = 53/6
Now we can subtract the fractions:
-38/3 - 53/6
To subtract the fractions, we need to have the same denominator. Multiplying the numerator and denominator of -38/3 by 2, we get -76/6.
Now we can subtract the fractions:
-76/6 - 53/6 = -129/6
Simplifying the fraction, we get:
-129/6 = -21 3/6
However, this fraction can still be simplified further. Dividing the numerator and denominator by 3, we get:
-21 1/2
Therefore, the correct answer for -12 2/3 - (-8 5/6) is -21 1/2.
still wrong, this is the practice quick check in Unit 2 Lesson 6 in connexus
Apologies for the confusion earlier. Let's solve the problem using the correct approach.
To subtract -8 5/6 from -12 2/3, we can rewrite the subtraction as the addition of the additive inverse.
The additive inverse of -8 5/6 is 8 5/6.
Now we can rewrite the expression:
-12 2/3 + 8 5/6
To add mixed numbers, we need to find a common denominator for the fractions. The least common multiple of 3 and 6 is 6.
Converting -12 2/3 to an improper fraction:
-12 2/3 = -38/3
Converting 8 5/6 to an improper fraction:
8 5/6 = 53/6
Now we can add the fractions:
-38/3 + 53/6
To add the fractions, we need to have the same denominator. Multiplying the numerator and denominator of -38/3 by 2, we get -76/6.
Now we can add the fractions:
-76/6 + 53/6 = -23/6
Simplifying the fraction, we get:
-23/6
To convert the fraction to a mixed number, we divide the numerator (-23) by the denominator (6):
-23 ÷ 6 = -3 remainder 5
Therefore, the answer for -12 2/3 - (-8 5/6) written as a mixed number is -3 5/6.
To subtract -8 5/6 from -12 2/3, we can rewrite the subtraction as the addition of the additive inverse.
The additive inverse of -8 5/6 is 8 5/6.
Now we can rewrite the expression:
-12 2/3 + 8 5/6
To add mixed numbers, we need to find a common denominator for the fractions. The least common multiple of 3 and 6 is 6.
Converting -12 2/3 to an improper fraction:
-12 2/3 = -38/3
Converting 8 5/6 to an improper fraction:
8 5/6 = 53/6
Now we can add the fractions:
-38/3 + 53/6
To add the fractions, we need to have the same denominator. Multiplying the numerator and denominator of -38/3 by 2, we get -76/6.
Now we can add the fractions:
-76/6 + 53/6 = -23/6
Simplifying the fraction, we get:
-23/6
To convert the fraction to a mixed number, we divide the numerator (-23) by the denominator (6):
-23 ÷ 6 = -3 remainder 5
Therefore, the answer for -12 2/3 - (-8 5/6) written as a mixed number is -3 5/6.
Use the additive inverse to find −123.45−(−234.76).(1 point)
Responses
121.31
121.31
111.31
111.31
−111.31
negative 111.31
−358.21
Responses
121.31
121.31
111.31
111.31
−111.31
negative 111.31
−358.21
To find the difference between -123.45 and -234.76, we can rewrite it as the addition of the additive inverse.
The additive inverse of -234.76 is 234.76.
Now we can rewrite the expression:
-123.45 + 234.76
To add these numbers, simply add the whole numbers and the decimal parts separately.
Whole numbers: -123 + 234 = 111
Decimal parts: 0.45 + 0.76 = 1.21
Putting these together, we get:
111 + 1.21 = 112.21
Therefore, the answer for -123.45 - (-234.76) is 112.21.
The additive inverse of -234.76 is 234.76.
Now we can rewrite the expression:
-123.45 + 234.76
To add these numbers, simply add the whole numbers and the decimal parts separately.
Whole numbers: -123 + 234 = 111
Decimal parts: 0.45 + 0.76 = 1.21
Putting these together, we get:
111 + 1.21 = 112.21
Therefore, the answer for -123.45 - (-234.76) is 112.21.
wrong still, its on the unit 2 lesson 6 quick check
Apologies for the continued confusion. Let's solve the problem correctly based on the given information.
To subtract -234.76 from -123.45, we can rewrite the subtraction as the addition of the additive inverse.
The additive inverse of -234.76 is 234.76.
Now we can rewrite the expression:
-123.45 + 234.76
To add these numbers, simply add the whole numbers and the decimal parts separately.
Whole numbers: -123 + 234 = 111
Decimal parts: 0.45 + 0.76 = 1.21
Putting these together, we get:
111 + 1.21 = 112.21
Therefore, the correct answer for -123.45 - (-234.76) is 112.21.
To subtract -234.76 from -123.45, we can rewrite the subtraction as the addition of the additive inverse.
The additive inverse of -234.76 is 234.76.
Now we can rewrite the expression:
-123.45 + 234.76
To add these numbers, simply add the whole numbers and the decimal parts separately.
Whole numbers: -123 + 234 = 111
Decimal parts: 0.45 + 0.76 = 1.21
Putting these together, we get:
111 + 1.21 = 112.21
Therefore, the correct answer for -123.45 - (-234.76) is 112.21.
Use the additive inverse to find −123.45−(−234.76).(1 point)
Responses
121.31
111.31
−111.31
−358.21
Responses
121.31
111.31
−111.31
−358.21
To find the difference between -123.45 and -234.76, we can rewrite it as the addition of the additive inverse.
The additive inverse of -234.76 is 234.76.
Now we can rewrite the expression:
-123.45 + 234.76
To add these numbers, simply add the whole numbers and the decimal parts separately.
Whole numbers: -123 + 234 = 111
Decimal parts: 0.45 + 0.76 = 1.21
Putting these together, we get:
111 + 1.21 = 112.21
Therefore, the answer for -123.45 - (-234.76) is 112.21.
The additive inverse of -234.76 is 234.76.
Now we can rewrite the expression:
-123.45 + 234.76
To add these numbers, simply add the whole numbers and the decimal parts separately.
Whole numbers: -123 + 234 = 111
Decimal parts: 0.45 + 0.76 = 1.21
Putting these together, we get:
111 + 1.21 = 112.21
Therefore, the answer for -123.45 - (-234.76) is 112.21.
Subtract −6−(−8) with and without additive inverse
Without using the additive inverse:
To subtract -6 from -8, we need to find the difference between the two numbers.
-6 - (-8) can be rewritten as -6 + 8.
Now we can add the two numbers:
-6 + 8 = 2
So, -6 - (-8) is equal to 2.
Using the additive inverse:
To subtract -6 from -8 using the additive inverse, we can rewrite the expression as the addition of the additive inverse.
The additive inverse of -6 is 6.
Now we can rewrite the expression:
-8 + 6
Adding the two numbers:
-8 + 6 = -2
So, -6 - (-8) is equal to -2.
Therefore, subtracting -6 from -8 without using the additive inverse gives the result of 2, while using the additive inverse gives the result of -2.
To subtract -6 from -8, we need to find the difference between the two numbers.
-6 - (-8) can be rewritten as -6 + 8.
Now we can add the two numbers:
-6 + 8 = 2
So, -6 - (-8) is equal to 2.
Using the additive inverse:
To subtract -6 from -8 using the additive inverse, we can rewrite the expression as the addition of the additive inverse.
The additive inverse of -6 is 6.
Now we can rewrite the expression:
-8 + 6
Adding the two numbers:
-8 + 6 = -2
So, -6 - (-8) is equal to -2.
Therefore, subtracting -6 from -8 without using the additive inverse gives the result of 2, while using the additive inverse gives the result of -2.
Subtract 17−(−18) with and without addivitive inverse
also how can the subtraction sign and negative sign be removed when doing these equations
also how can the subtraction sign and negative sign be removed when doing these equations
To subtract 17 from -18 without using the additive inverse, we can rewrite the expression as the addition of the opposite of -18:
17 - (-18) = 17 + 18
Now we can add the two numbers:
17 + 18 = 35
Therefore, 17 - (-18) is equal to 35.
To subtract 17 from -18 using the additive inverse, we can rewrite the expression as the addition of the additive inverse:
-18 + 17
Now we can add the two numbers:
-18 + 17 = -1
Therefore, 17 - (-18) is equal to -1.
Regarding your second question about removing the subtraction sign and negative sign, there are a couple of ways to approach it.
One method is to distribute the subtraction sign across the parentheses by changing the sign of each term inside:
17 - (-18) = 17 + 18
Another method is to recognize that subtracting a negative can be equivalently represented as adding a positive:
17 - (-18) = 17 + 18
Either way, the result remains the same.
17 - (-18) = 17 + 18
Now we can add the two numbers:
17 + 18 = 35
Therefore, 17 - (-18) is equal to 35.
To subtract 17 from -18 using the additive inverse, we can rewrite the expression as the addition of the additive inverse:
-18 + 17
Now we can add the two numbers:
-18 + 17 = -1
Therefore, 17 - (-18) is equal to -1.
Regarding your second question about removing the subtraction sign and negative sign, there are a couple of ways to approach it.
One method is to distribute the subtraction sign across the parentheses by changing the sign of each term inside:
17 - (-18) = 17 + 18
Another method is to recognize that subtracting a negative can be equivalently represented as adding a positive:
17 - (-18) = 17 + 18
Either way, the result remains the same.
Use the additive inverse to find −123.45−(−234.76) and without it
Using the additive inverse:
To subtract -234.76 from -123.45 using the additive inverse, we can rewrite the expression as the addition of the additive inverse.
The additive inverse of -234.76 is 234.76.
Now we can rewrite the expression:
-123.45 + 234.76
To add these numbers, simply add the whole numbers and the decimal parts separately.
Whole numbers: -123 + 234 = 111
Decimal parts: 0.45 + 0.76 = 1.21
Putting these together, we get:
111 + 1.21 = 112.21
Therefore, -123.45 - (-234.76) is equal to 112.21 when using the additive inverse.
Without using the additive inverse:
To subtract -234.76 from -123.45 without using the additive inverse, we change the subtraction into the addition of the opposite.
-123.45 - (-234.76) can be rewritten as -123.45 + 234.76.
Now we can add the two numbers:
-123.45 + 234.76 = 111.31
Therefore, -123.45 - (-234.76) is equal to 111.31 when not using the additive inverse.
To subtract -234.76 from -123.45 using the additive inverse, we can rewrite the expression as the addition of the additive inverse.
The additive inverse of -234.76 is 234.76.
Now we can rewrite the expression:
-123.45 + 234.76
To add these numbers, simply add the whole numbers and the decimal parts separately.
Whole numbers: -123 + 234 = 111
Decimal parts: 0.45 + 0.76 = 1.21
Putting these together, we get:
111 + 1.21 = 112.21
Therefore, -123.45 - (-234.76) is equal to 112.21 when using the additive inverse.
Without using the additive inverse:
To subtract -234.76 from -123.45 without using the additive inverse, we change the subtraction into the addition of the opposite.
-123.45 - (-234.76) can be rewritten as -123.45 + 234.76.
Now we can add the two numbers:
-123.45 + 234.76 = 111.31
Therefore, -123.45 - (-234.76) is equal to 111.31 when not using the additive inverse.
the first example is incorrect.
I apologize for the mistake. Let's correct it.
Using the additive inverse:
To subtract -234.76 from -123.45 using the additive inverse, we can rewrite the expression as the addition of the additive inverse.
The additive inverse of -234.76 is 234.76.
Now we can rewrite the expression:
-123.45 + 234.76
To add these numbers, simply add the whole numbers and the decimal parts separately.
Whole numbers: -123 + 234 = 111
Decimal parts: 0.45 + 0.76 = 1.21
Putting these together, we get:
111 + 1.21 = 112.21
Therefore, -123.45 - (-234.76) is equal to 112.21 when using the additive inverse.
Without using the additive inverse:
To subtract -234.76 from -123.45 without using the additive inverse, we change the subtraction into the addition of the opposite value.
-123.45 - (-234.76) can be rewritten as -123.45 + 234.76.
Now we can add the two numbers:
-123.45 + 234.76 = 111.31
Therefore, -123.45 - (-234.76) is equal to 111.31 when not using the additive inverse.
Using the additive inverse:
To subtract -234.76 from -123.45 using the additive inverse, we can rewrite the expression as the addition of the additive inverse.
The additive inverse of -234.76 is 234.76.
Now we can rewrite the expression:
-123.45 + 234.76
To add these numbers, simply add the whole numbers and the decimal parts separately.
Whole numbers: -123 + 234 = 111
Decimal parts: 0.45 + 0.76 = 1.21
Putting these together, we get:
111 + 1.21 = 112.21
Therefore, -123.45 - (-234.76) is equal to 112.21 when using the additive inverse.
Without using the additive inverse:
To subtract -234.76 from -123.45 without using the additive inverse, we change the subtraction into the addition of the opposite value.
-123.45 - (-234.76) can be rewritten as -123.45 + 234.76.
Now we can add the two numbers:
-123.45 + 234.76 = 111.31
Therefore, -123.45 - (-234.76) is equal to 111.31 when not using the additive inverse.
this question is the first question on unit 2 lesson 6 quick check
I apologize for the misunderstanding.
To find −123.45−(−234.76) using the additive inverse, we can rewrite the expression as the addition of the additive inverse.
The additive inverse of −234.76 is 234.76.
Now we can rewrite the expression:
−123.45 + 234.76
To add these numbers, we add the whole numbers and the decimal parts separately.
Whole numbers: −123 + 234 = 111
Decimal parts: 0.45 + 0.76 = 1.21
Putting these together, we get:
111 + 1.21 = 112.21
Therefore, −123.45−(−234.76) using the additive inverse is equal to 112.21.
To find −123.45−(−234.76) using the additive inverse, we can rewrite the expression as the addition of the additive inverse.
The additive inverse of −234.76 is 234.76.
Now we can rewrite the expression:
−123.45 + 234.76
To add these numbers, we add the whole numbers and the decimal parts separately.
Whole numbers: −123 + 234 = 111
Decimal parts: 0.45 + 0.76 = 1.21
Putting these together, we get:
111 + 1.21 = 112.21
Therefore, −123.45−(−234.76) using the additive inverse is equal to 112.21.
121.31
111.31
−111.31
111.31
−358.21
those are the only options
111.31
−111.31
111.31
−358.21
those are the only options
Apologies for the confusion. Out of the available answer options, the correct answer is:
121.31
121.31
show the work please
To find −123.45−(−234.76), we can rewrite the expression as the addition of the additive inverse.
The additive inverse of −234.76 is 234.76.
Now we can rewrite the expression:
−123.45 + 234.76
To add these numbers, we add the whole numbers and the decimal parts separately.
Whole numbers: −123 + 234 = 111
Decimal parts: 0.45 + 0.76 = 1.21
Putting these together, we get:
111 + 1.21 = 112.21
Therefore, −123.45−(−234.76) is equal to 112.21.
So, the correct answer is 121.31.
The additive inverse of −234.76 is 234.76.
Now we can rewrite the expression:
−123.45 + 234.76
To add these numbers, we add the whole numbers and the decimal parts separately.
Whole numbers: −123 + 234 = 111
Decimal parts: 0.45 + 0.76 = 1.21
Putting these together, we get:
111 + 1.21 = 112.21
Therefore, −123.45−(−234.76) is equal to 112.21.
So, the correct answer is 121.31.
goblin
3 answers