/*! 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 48 Simplify. \(100 \div 10 \cdot ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 48

Simplify. \(100 \div 10 \cdot 5+4\)

Short Answer

Expert verified
The simplified result is 54.

Step by step solution

01

Division

The expression is \(100 \div 10 \cdot 5 + 4\). Start by performing the division \(100 \div 10\). This simplifies to 10.
02

Multiplication

Now take the result from Step 1, which is 10, and multiply it by 5. Calculate \(10 \cdot 5\), which gives 50.
03

Addition

Add the result from Step 2 (which is 50) to 4. Thus, calculate \(50 + 4\), which results in 54.

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.

Division
In the order of operations, division is one of the key steps performed from left to right, as it appears in an expression. When we have an expression like \(100 \div 10 \cdot 5 + 4\), the first operation to tackle is the division part, which here is \(100 \div 10\). This simplifies down to 10 because 100 divided by 10 equals 10. It鈥檚 essential to handle division accurately to ensure the whole expression simplifies correctly.
Here are a few tips to remember about division:
  • Always look for division signs first when processing an equation.
  • Division is the process of splitting a number into equal parts.
  • It鈥檚 the opposite of multiplication, and it involves determining how many times one number fits into another.
Understanding division sets the stage for correctly applying the next operations in an expression.
Multiplication
After handling division, the next step is multiplication. In our example, once we have simplified \(100 \div 10\) to 10, we proceed to multiply this result by 5. So, we calculate \(10 \cdot 5\), which amounts to 50. This step is crucial as multiplication helps in scaling up numbers that follow right after division in our expression.
Here鈥檚 what to keep in mind about multiplication:
  • Multiplication involves combining groups of equal sizes.
  • It's represented by the \( \cdot \) or sometimes by a simple dot between numbers.
  • In expressions, work on multiplication after resolving any division that appears first from the left side.
With multiplication completed accurately, the expression becomes simpler, setting up for the final steps of calculation.
Addition
Finally, after doing division and multiplication, we move on to addition. From our previous operations, we have obtained the number 50, which needs to be added to 4. The expression simplifies as \(50 + 4\), leading to the final result of 54. Addition rounds up the calculation process by combining all previously operated numbers.
Let's focus on the basics of addition:
  • Addition is the process of calculating the total of two or more numbers.
  • It is straightforward and usually done after all other operations, especially multiplication and division, have been completed.
  • This step ensures everything is combined to finalize the computation of the expression.
When addition is done correctly, it nicely wraps up any mathematical expression you are working with.

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

The largest permanent Monopoly board is made of granite and is located in San Jose, California. It is in the shape of a square with side lengths of \(31 \mathrm{ft}\). Find the perimeter of the square playing board.

The smallest commercially available jigsaw puzzle is a 1000 -piece puzzle manufactured in Spain. It is in the shape of a rectangle with length of 18 inches and width of 12 inches. Find the perimeter of this rectangular-shaped puzzle.

Find and correct the error when evaluating each expression for \(x=3\) and \(y=5 .\) \(\begin{aligned} x^{3}+4 y &=3^{3}+4(5) \\ &=9+20 \\ &=29 \end{aligned}\)

$$ \begin{array}{r} 19 \\ 214 \\ 49 \\ +651 \\ \hline 923 \end{array} $$

The state of Delaware has 2029 miles of urban highways and 3865 miles of rural highways. Find the total highway mileage in Delaware.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Statistics

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.