Studdy AI Logo
Math  /  Numbers & Operations

QuestionAdd, using the rule for order of operations if necessary: [10+(−6)]+[8+(−12)]=[10+(-6)]+[8+(-12)]= □\square Submit Question

Studdy Solution

STEP 1

What is this asking? Add two groups of numbers together, keeping the order of operations in mind! Watch out! Don't forget to handle those negative numbers correctly!

STEP 2

1. Simplify the first group
2. Simplify the second group
3. Add the results

STEP 3

Let's **simplify** the expression inside the first set of brackets: 10+(−6)10 + (-6).

STEP 4

When you add a negative number, it's like subtracting!
So, 10+(−6)10 + (-6) is the same as 10−610 - 6.

STEP 5

**Calculate**: 10−6=410 - 6 = 4.

STEP 6

Now, let's **simplify** the expression inside the second set of brackets: 8+(−12)8 + (-12).

STEP 7

Again, adding a negative is like subtracting!
So, 8+(−12)8 + (-12) is the same as 8−128 - 12.

STEP 8

**Calculate**: 8−12=−48 - 12 = -4.

STEP 9

Now, let's **add** the results from the two groups: 4+(−4)4 + (-4).

STEP 10

Adding a negative number is like subtracting!
So, 4+(−4)4 + (-4) is the same as 4−44 - 4.

STEP 11

**Calculate**: 4−4=04 - 4 = 0.

STEP 12

The final answer is 0\boxed{0}.

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