/*! 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 98 Translate and solve. What numb... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 98

Translate and solve. What number is 45% of 120?

Short Answer

Expert verified
45% of 120 is 54.

Step by step solution

01

Understand the Problem

We need to find what number is 45% of 120. This involves calculating a percentage of a given quantity.
02

Convert Percentage to Decimal

Convert the percentage (45%) to a decimal by dividing by 100. \[ 45\text{%} = \frac{45}{100} = 0.45 \]
03

Multiply the Decimal by the Quantity

Multiply the decimal (0.45) by the quantity (120). \[ 0.45 \times 120 \]
04

Perform the Multiplication

Calculate the product of 0.45 and 120. \[ 0.45 \times 120 = 54 \]
05

Interpret the Result

The result of the multiplication is 54. Therefore, 45% of 120 is 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.

Convert Percentage to Decimal
When solving percentage problems, you often need to convert a percentage into a decimal. This is the first crucial step. Percentages are parts of a whole, specifically out of 100. To convert a percentage to a decimal, you simply divide by 100.
For example, with 45%, you perform the conversion like this: \ 45% becomes \[\frac{45}{100} = 0.45\].
  • Divide the percentage value by 100.
  • Write down the result as a decimal.
This decimal form can now be used in multiplication steps to find the desired quantity.
Multiply Decimal by Quantity
Once you have converted the percentage to a decimal, the next step is to multiply this decimal by the given quantity. Multiplication is straightforward and it allows you to find a part of the total amount.
In our example, you would have the decimal 0.45 and the quantity 120. The multiplication looks like this: \ \[0.45 \times 120\]
Here are the steps to perform it:
  • Position the decimal and the quantity.
  • Multiply the numbers as if they were whole numbers.
  • Adjust the product to place the decimal in the correct spot based on the initial decimal's positions.
Interpret Result
After performing the multiplication, you need to interpret the result. This step involves understanding what the resultant number means in the context of your original problem.
Continuing with our example: \ \[0.45 \times 120 = 54\]
  • The final value obtained (54) represents the portion defined by the percentage.
  • Identify that this is the answer to our question: 45% of 120 is 54.
The result helps you understand part of a whole, making percentage calculations valuable in various practical scenarios.

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

Sales of video games and consoles fell from \(\$ 1,150\) million to \(\$ 1,030\) million in one year. Find the percent decrease. (Round to the nearest tenth of a percent.)

In the following exercises, translate and solve. What percent of 340 is 595\(?\)

In the following exercises, solve. Elsa gets paid \(\$ 4,600\) per month. Her car payment is \(\$ 253\) . What percent of her monthly pay goes to her car payment?

In the following exercises, solve the simple interest problem. In 6 years, a bond that paid 5.5\(\%\) earned \(\$ 594\) interest. What was the principal of the bond?

Annual student fees at the University of California rose from about \(\$ 4,000\) in 2000 to about \(\$ 9,000\) in 2014 . Find the percent increase.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Statistics

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.