Use the additive inverse to find −12 2/3−(−8 5/6). Write the answer as a mixed number.
To find the distance between two numbers on a number line, we can subtract the smaller number from the larger number and take the absolute value of the result.
In this case, the smaller number is -8 and the larger number is 16. So, the distance between -8 and 16 is:
|16 - (-8)| = |16 + 8| = |24| = 24
Therefore, the distance between -8 and 16 on a number line is 24.
To find the distance between two numbers on a number line, we can subtract the smaller number from the larger number and take the absolute value of the result.
In this case, the smaller number is -7.4 and the larger number is 18.25. So, the distance between -7.4 and 18.25 is:
|18.25 - (-7.4)| = |18.25 + 7.4| = |25.65| = 25.65
Therefore, the distance between 18.25 and −7.4 on the number line is 25.65.
What is the distance between −8 and 16 on a number line?(1 point)
What is the distance between 18.25 and −7.4 on the number line?
Subtract 12−(−8).
To subtract two numbers, we can add the additive inverse of the second number.
The additive inverse of -8 is 8.
So, we can rewrite the expression as:
12 + 8
which equals 20.
Therefore, 12 - (-8) is equal to 20.
To find the additive inverse, we simply change the sign of the number.
The additive inverse of −8 5/6 would be 8 5/6.
Now we can rewrite the expression:
−12 2/3 − (−8 5/6)
= −12 2/3 + 8 5/6
To add mixed numbers, we need to first find a common denominator. The common denominator for 3 and 6 is 6.
−12 2/3 + 8 5/6
= −12*(2/3)*(6/6) + 8*(5/6)*(3/3)
= −72/6 + 40/6
Now that we have a common denominator, we can add the fractions:
−72/6 + 40/6 = (−72 + 40)/6 = −32/6
Finally, we can simplify the fraction and convert to a mixed number:
−32/6 = −16/3
The answer is −16/3, which can also be written as −5 1/3 as a mixed number.