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.