/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 2 Simplify the given expression. ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 2

Simplify the given expression. $$ 5+2 \cdot 8 $$

Short Answer

Expert verified
The simplified expression is 21.

Step by step solution

01

Identify Operations and Order

Look at the expression and identify the operations involved: addition and multiplication. Recall the order of operations (BODMAS/BIDMAS): Brackets, Orders (i.e., powers and square roots, etc.), Division and Multiplication (left-to-right), Addition and Subtraction (left-to-right).
02

Perform Multiplication

According to the order of operations, we should do the multiplication before addition. Multiply 2 by 8 to get 16. So, the expression becomes: \[ 5 + 16 \]
03

Perform Addition

Now that we have completed the multiplication, perform the addition: Add 5 and 16 to get 21. The expression is now simplified to 21.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

BODMAS
When it comes to simplifying mathematical expressions, understanding the BODMAS rule is crucial. BODMAS stands for Brackets, Orders (like powers and square roots), Division and Multiplication, and Addition and Subtraction. This rule helps us decide the order in which to carry out operations so that everyone arrives at the same answer.

Here's a quick breakdown:
  • Brackets: Solve anything inside parentheses or brackets first.
  • Orders: This refers to exponents or roots (i.e., powers and square roots).
  • Division and Multiplication: Handle these from left to right.
  • Addition and Subtraction: Also to be done from left to right.
In our original exercise, we only have multiplication and addition. According to BODMAS, multiplication comes before addition, which guides how we simplify the expression.
Multiplication
In mathematics, multiplication is one of the basic operations. It is essentially repeated addition. When we multiply two numbers, we are combining groups of one number a certain number of times equal to the other number. For example, multiplying 2 by 8 is the same as adding 2 eight times:

\( 2 \times 8 = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 16 \)

In the expression from our exercise, the multiplication part is where 2 is multiplied by 8. Following the BODMAS rule, this is the step we perform first, which simplifies the multiplication part of the expression to 16. Multiplication is a priority over addition and thus arranged to be solved before adding numbers.
Addition
Addition is one of the simplest and most fundamental operations in math. It involves combining numbers to get a sum. For the expression given, after dealing with multiplication, the next step is to perform the addition.

Once the multiplication has simplified the expression to \( 5 + 16 \), we add these two numbers:

\( 5 + 16 = 21 \)

The plus sign indicates we need to add the numbers on either side of it. This operation is done after multiplication under the rules of BODMAS. Addition comes into play only after higher-priority operations have been handled, ensuring we follow the correct sequence and achieve the right result.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Simplify the given expression. $$ 10+20 \div\\{2+2\\} $$

Simplify the given expression. $$ 11-2 \cdot 3+12 \cdot 4^{2} $$

Simplify the given expression. $$ 9+6 \cdot(12+3) $$

Simplify the given expression. $$ 9+2 \cdot 3 $$

Simplify the given expression. $$ 11 \cdot[12-4]-10 $$
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.