What is the absolute value of subtracting these rational numbers on a vertical number line diagram? −22 − (1/12)
To find the absolute value of subtracting these rational numbers on a vertical number line diagram, we first need to subtract them:
-22 - (1/12) = -22 - 1/12 = -264/12 - 1/12 = -265/12
Now, let's plot this value on a vertical number line:
-265/12 is a negative number, so we move downwards from 0. Since 12 does not evenly divide 265, we can estimate the position of -265/12 on the number line.
The absolute value of -265/12 is the distance between -265/12 and 0 on the number line, which is equal to 265/12.
Therefore, the absolute value of subtracting -22 and 1/12 on a vertical number line diagram is 265/12.
To find the absolute value of subtracting these rational numbers, -22 - (1/12), we can follow these steps:
Step 1: Simplify the subtraction.
-22 - (1/12) = -22 - 1/12
Step 2: Find a common denominator for the subtraction.
To find a common denominator, we need to first convert -22 to a fraction. Since -22 is a whole number, we can write it as -22/1.
The common denominator will be 12, which is the denominator of 1/12.
-22/1 - 1/12 = (-22 * 12) / (1 * 12) - 1/12
= (-264) / 12 - 1/12
Step 3: Combine the fractions.
Since the denominators are the same, we can subtract the numerators and keep the denominator.
(-264 - 1) / 12 = (-265) / 12
Step 4: Simplify the fraction.
The fraction (-265) / 12 cannot be simplified further because there is no common factor between the numerator and the denominator.
Step 5: Find the absolute value.
Now, we take the absolute value of (-265) / 12 by ignoring the negative sign.
The absolute value of (-265) / 12 is 265 / 12.
Therefore, the absolute value of subtracting these rational numbers is 265 / 12.