Use the additive inverse to find −1223−(−856). Write the answer as a mixed number.(1 point
Use the additive inverse to find −12 2/3−(−8 5/6). Write the answer as a mixed number.(1 point
To find the additive inverse of a number, we change its sign.
The additive inverse of -856 is 856, and the additive inverse of -1223 is 1223.
So, -1223 - (-856) becomes 1223 + 856.
Adding these numbers together gives us 2079.
To write this as a mixed number, we divide 2079 by 856.
2079 ÷ 856 = 2 remainder 367
Therefore, the answer is 2 and 367/856.
To find the sum of two numbers with different signs, we can subtract the additive inverse of one number from the other. In this case, we want to find the value of -1223 - (-856).
To determine the additive inverse of a number, simply change its sign.
The additive inverse of -856 is 856.
Now we can rewrite the problem as -1223 + 856.
To add these numbers, align them vertically with the decimal points lined up:
-1223
+ 856
_______
To calculate the sum, start with the rightmost column (the ones place) and work your way to the left, carrying over any values above 9 to the next column:
-1223
+ 856
_______
-367
Therefore, -1223 - (-856) equals -367.
As a mixed number, we can write this as -367/1.
To find the additive inverse of a number, we change the sign of the number. So, the additive inverse of -856 is 856.
To subtract -1223 from 856, we can rewrite the subtraction problem as addition by using the additive inverse. So, -1223 - (-856) becomes -1223 + 856.
-1223 + 856 = -367.
Therefore, the answer is -367.
To find the additive inverse of a number, we change the sign of the number. So, the additive inverse of -8 5/6 is 8 5/6.
To subtract -12 2/3 from 8 5/6, we can rewrite the subtraction problem as addition by using the additive inverse. So, -12 2/3 - (-8 5/6) becomes -12 2/3 + 8 5/6.
To add these mixed numbers, we first need to find a common denominator, which in this case is 6.
(-12 2/3) * (6/6) = -78/6
(8 5/6) * (6/6) = 53/6
Now we can add the fractions:
-78/6 + 53/6 = -25/6.
When the fractions are added, it becomes evident that the numerator is negative, so we have a negative mixed number.
Since 25 is not divisible by 6, we can rewrite -25/6 in mixed number form:
-25/6 = -4 1/6.
Therefore, the answer is -4 1/6.