Question
upstudy study bank question image url

11. \( x-2 \) for \( x=8 \) \( \begin{array}{lll}\text { 14. } \frac{15}{x} \text { for } x=3 & \text { 12. } 2 b \text { for } b=9 & \text { 13. } 5.6 t \text { for } t=0.7 \\ \text { Order of Operations } & \text { 16. } 4 x \text { for } x=\frac{3}{6}\end{array} \) 17. Explain the order in which you should compute the operations in the expression below. Then evaluate the expression.

Ask by Bright Hill. in the United States
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

**Order of Operations (PEMDAS):** 1. **Parentheses/Grouping Symbols** 2. **Exponents/Radicals** 3. **Multiplication and Division (from left to right)** 4. **Addition and Subtraction (from left to right)** **Example:** \[ 3 + 4 \times 2 \div (1 - 5)^2 = 3.5 \] **Answer:** \( 3.5 \)

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Reviewed and approved by the UpStudy tutoring team

The Deep Dive

To tackle the expression, you'll want to remember the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)). When working through an expression, always start with anything in parentheses, then handle exponents, followed by multiplication or division, and finally tackle addition or subtraction. For example, let’s evaluate \( x-2 \) with \( x=8 \): You simply replace \( x \) with 8, giving you \( 8-2 \), which results in 6. Similarly, for \( \frac{15}{x} \) when \( x=3 \), it becomes \( \frac{15}{3} = 5 \). Keep those steps in mind as you calculate each expression!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy