Math

QuestionFind the sum of 6+(214)6 + \left(-2 \frac{1}{4}\right). First, find the absolute values, then subtract them.

Studdy Solution

STEP 1

Assumptions1. The numbers to be added are 66 and 14- \frac{1}{4}. . The addition of rational numbers follows the same rules as integer addition.
3. We need to find the absolute values of the numbers.
4. We need to subtract the absolute values.

STEP 2

First, we need to find the absolute values of the numbers. The absolute value of a number is its distance from zero on the number line, disregarding the direction. It is denoted by x|x|.
6=6|6| =6214=214\left|-2 \frac{1}{4}\right| =2 \frac{1}{4}

STEP 3

Now, subtract the absolute values.621=621|6| - \left|-2 \frac{1}{}\right| =6 -2 \frac{1}{}

STEP 4

To subtract a mixed number from a whole number, first convert the whole number to a mixed number with the same denominator as the fractional part of the mixed number. Here, the denominator is 44, so we convert 66 to 44 \frac{4}{4}.
44214 \frac{4}{4} -2 \frac{1}{4}

STEP 5

Now, subtract the fractional parts and the whole numbers separately.
52=35 -2 =34414=34\frac{4}{4} - \frac{1}{4} = \frac{3}{4}

STEP 6

Combine the results to get the final answer.
3343 \frac{3}{4}However, since the original number was negative, the result should also be negative.
So, the sum of 66 and 214-2 \frac{1}{4} is 334-3 \frac{3}{4}.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord