Subtract rational numbers practice
Use the additive inverse to find 8.76 - 26.54
Help me please I need the answer
17.78.
To find the difference between two rational numbers, we can use the additive inverse. The additive inverse of a number "a" is the number that when added to "a" results in zero, denoted as "-a".
In this case, we want to find 8.76 - 26.54. Since the subtraction of two rational numbers is equivalent to adding the additive inverse of the second number, we can rewrite the problem as 8.76 + (-26.54).
To add these two numbers, align the decimal points and perform subtraction as you would with whole numbers:
8.76
+ (-26.54)
_________
Start by subtracting the hundredths place: 6 - 4 equals 2. Add the decimal point:
8.76
+ (-26.54)
_________
. 2
Next, subtract the tenths place: 7 - 5 equals 2:
8.76
+ (-26.54)
_________
2 . 2
Finally, subtract the ones place: 8 - 2 equals 6:
8.76
+ (-26.54)
_________
6 . 2
Now, bring down the negative sign from the second number (the additive inverse):
8.76
+ (-26.54)
_________
-6 . 2
Therefore, 8.76 - 26.54 is equal to -6.02.
You were wrong
Apologies for the mistake. Let's correct it.
To find the difference between two rational numbers, we can subtract them directly by aligning the decimal points.
8.76 - 26.54
Align the decimal points:
8.76
- 26.54
_________
Start by subtracting the hundredths place: 6 - 4 equals 2.
8.76
- 26.54
_________
. 2
Next, subtract the tenths place: 7 - 5 equals 2.
8.76
- 26.54
_________
2 . 2
In the ones place, we need to borrow from the tens place since 6 is smaller than 4. Borrowing 1 from the 8, we have 18 in the tens place and 16 - 4 in the ones place, which equals 12.
18.76
- 26.54
_________
12 . 2
Finally, subtract the tens place: 1 - 2 equals -1.
18.76
- 26.54
_________
- 1 2 . 2
Therefore, 8.76 - 26.54 is equal to -17.78.
That one was correct use the additive inverse define -12 2/3 -(-8 5/6)
To solve -12 2/3 - (-8 5/6), we can simplify the expression by converting mixed numbers into improper fractions and applying the rules of subtraction.
-12 2/3 can be written as -(38/3), and -(-8 5/6) can be written as -(-53/6).
Now, we need to subtract -(38/3) from -(-53/6). Remember that subtracting a negative number is equivalent to adding a positive number. Therefore, we have -(-53/6) + (38/3).
Next, we need to find a common denominator to add these fractions. The least common multiple (LCM) of 3 and 6 is 6.
Converting the fractions to have a common denominator of 6, we get:
-(-53/6) + (38/3) = -(-53/6 * 2/2) + (38/3 * 2/2)
= -(-(106/12)) + (76/6)
= (106/12) + (76/6)
Now, we can add the fractions:
(106/12) + (76/6) = (106 + 152) / 12
= 258/12
Finally, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 6.
258/12 can be simplified to 43/2.
Therefore, -12 2/3 - (-8 5/6) is equal to 43/2.
That was wrong
Apologies for the mistake. Let's correct it.
To solve -12 2/3 - (-8 5/6), we can simplify the expression by converting the mixed numbers into improper fractions and applying the rules of subtraction.
-12 2/3 can be written as -((12 * 3 + 2) / 3), which simplifies to -(38/3).
-(-8 5/6) can be written as -((-8 * 6 + 5) / 6), which simplifies to -(53/6).
Now, we need to subtract -(38/3) from -(53/6). Remember that subtracting a negative number is equivalent to adding a positive number. Therefore, we have -(38/3) + (53/6).
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 6 is 6.
Converting the fractions to have a common denominator of 6, we get:
-(38/3) + (53/6) = -(38/3 * 2/2) + (53/6 * 1/1)
= -(76/6) + (53/6)
Now, we can add the fractions:
-(76/6) + (53/6) = (53 - 76) / 6
= -23/6
Therefore, -12 2/3 - (-8 5/6) is equal to -23/6.
Wrong again
Apologies for the confusion. Let's solve -12 2/3 - (-8 5/6) correctly.
To subtract mixed numbers, we need to convert them into improper fractions first.
-12 2/3 can be written as -(38/3).
-(-8 5/6) can be written as +(53/6).
Now, we can rewrite the expression as -(38/3) + (53/6).
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 6 is 6.
Converting the fractions to have a common denominator of 6, we get:
-(38/3) + (53/6) = -(38/3 * 2/2) + (53/6 * 1/1)
= -(76/6) + (53/6)
Now, we can add the fractions:
-(76/6) + (53/6) = (-76 + 53) / 6
= -23/6
Therefore, -12 2/3 - (-8 5/6) is equal to -23/6.
Use the additive inverse to find -12 2/3 - (-8 5/6)
To find the difference between two rational numbers, we can apply the additive inverse. The additive inverse of a number "a" is the number that, when added to "a," results in zero.
In this case, we want to find -12 2/3 - (-8 5/6). To use the additive inverse, we can change the subtraction into addition by changing the sign of the second term. Thus, the expression becomes -12 2/3 + 8 5/6.
Now, let's convert the mixed numbers into improper fractions:
-12 2/3 = -(38/3)
8 5/6 = 53/6
Now, we can add the two fractions:
-(38/3) + (53/6)
To find a common denominator, we observe that the least common multiple (LCM) of 3 and 6 is simply 6.
Converting the fractions to have a common denominator of 6, we get:
-(38/3) + (53/6) = -(38/3 * 2/2) + (53/6 * 1/1)
= -(76/6) + (53/6)
Now, we can add the fractions:
-(76/6) + (53/6) = (-76 + 53)/6
= (-23)/6
Therefore, -12 2/3 - (-8 5/6) is equal to -23/6.
Use the additive and verse to find -12 2/3 -(-8 5/6) right answer as a mixed number.
To find -12 2/3 - (-8 5/6) using the additive inverse, we can change the second term to its additive inverse and rewrite the expression as a subtraction problem between the first term and the additive inverse of the second term.
The additive inverse of -8 5/6 is 8 5/6. Therefore, we can rewrite the expression as -12 2/3 - 8 5/6.
Now, let's convert the mixed numbers into improper fractions:
-12 2/3 = -(38/3)
8 5/6 = 53/6
Substituting these values, we have -(38/3) - (53/6).
To subtract these fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 6 is 6.
Converting the fractions to have a common denominator of 6, we get:
-(38/3) - (53/6) = -(38/3 * 2/2) - (53/6 * 1/1)
= -(76/6) - (53/6)
Now, we can subtract the fractions:
-(76/6) - (53/6) = (-76 - 53)/6
= -129/6
Simplifying the fraction, we have:
-129/6 = -21 3/6
The mixed number form of -21 3/6 is -21 1/2.
Therefore, -12 2/3 - (-8 5/6) is equal to -21 1/2 in mixed number form.
Wrong
Apologies for the incorrect response.
To find -12 2/3 - (-8 5/6) using the additive inverse, we can change the sign of the second term and rewrite the expression as an addition problem between the first term and the additive inverse of the second term.
So, -12 2/3 - (-8 5/6) becomes -12 2/3 + 8 5/6.
Now, let's convert the mixed numbers into improper fractions:
-12 2/3 = -(38/3)
8 5/6 = 53/6
Substituting these values, we have -(38/3) + (53/6).
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 6 is 6.
Converting the fractions to have a common denominator of 6, we get:
-(38/3) + (53/6) = -(38/3 * 2/2) + (53/6 * 1/1)
= -(76/6) + (53/6)
Now, we can add the fractions:
-(76/6) + (53/6) = (-76 + 53)/6
= -23/6
The result is -23/6.
To write this as a mixed number, we divide the numerator (which is -23) by the denominator (which is 6):
-23 divided by 6 is -3 remainder 5
So, the mixed number form is -3 5/6.
Therefore, -12 2/3 - (-8 5/6) is equal to -3 5/6 as a mixed number.
What is the absolute value of subtracting these rational numbers on a vertical line diagram? Negative 22 - 1 1/2
Wrong
Bot is always wrong
To represent the absolute value of subtracting these rational numbers on a vertical line diagram, we start with a point representing the first number and then move downwards by the value of the second number.
The given numbers are -22 and 1 1/2.
We first represent -22 on the diagram by placing a point on the vertical line.
Next, we need to represent -1 1/2. To do this, we move downwards on the vertical line by 1 1/2 units.
Since 1 1/2 is equivalent to 3/2, we move downwards 3/2 units from the point representing -22.
Therefore, the absolute value of subtracting -22 and 1 1/2 on a vertical line diagram will be at the point reached after moving down by 3/2 units from the starting point representing -22.
Apologies for the incorrect response.
To represent the absolute value of subtracting -22 and 1 1/2 on a vertical line diagram, we start by representing -22 on the diagram with a point or tick mark on the vertical line.
Next, we need to subtract 1 1/2 from -22. To do this, we move upwards on the vertical line by a distance of 1 1/2 units.
Since 1 1/2 is equivalent to 3/2, we move 3/2 units upwards from the point representing -22 on the diagram.
After moving upwards by 3/2 units, we reach a new point on the vertical line, which represents the result of subtracting -22 and 1 1/2.
To find the absolute value, we ignore the direction (up or down) and only consider the magnitude of the distance. So, in this case, the absolute value would be 3/2 or 1 1/2.
Therefore, the absolute value of subtracting -22 and 1 1/2 on a vertical line diagram is represented by a distance of 1 1/2 units upwards from the starting point of -22.