Problem 582 Multiply. $$ (2.3)(9.41) $... [FREE SOLUTION]

91影视

Chapter 1: Problem 582

Multiply. $$ (2.3)(9.41) $$

Short Answer

Expert verified

21.643

Step by step solution

- Understand the problem

You need to multiply two decimal numbers: 2.3 and 9.41.

- Eliminate decimals by converting to whole numbers

Multiply both numbers by 100 to remove the decimal points: 2.3 becomes 230 and 9.41 becomes 941.

- Multiply the whole numbers

Multiply 230 by 941 using long multiplication or a calculator: 230 * 941 = 216,430.

- Reintroduce the decimal points

Since you removed a total of three decimal places (one from 2.3 and two from 9.41), reintroduce the decimal point three places from the right in the product: 216,430 becomes 21.643.

- Verify the result

Check the calculation to ensure accuracy. The final product should be 21.643.

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.

Decimal Multiplication

Decimal multiplication simply means multiplying numbers that have decimal points. In our example, we are multiplying 2.3 and 9.41. Whenever you multiply decimals, it is important to remember the position of decimal points in the final answer. Each number contributes its decimal places to the final product.

Long Multiplication

Long multiplication is a method we use to multiply larger numbers that we can't easily do in our head. In this example, after converting our decimal numbers to whole numbers (230 and 941), we apply long multiplication. For 230 multiplied by 941:

Begin by multiplying each digit of 941 by each digit of 230.
Line up the partial products carefully, shifting them one place to the left for each new row.
Add the partial products to get the final answer of 216,430.

Number Conversion

Number conversion was an important step in this problem. To easily multiply our decimals, we converted 2.3 to 230 and 9.41 to 941 by removing the decimal points. This made the multiplication process simpler. Once the multiplication was done, we needed to reintroduce the correct number of decimal places. Since we moved the decimal points three places (one from 2.3 and two from 9.41), we placed the decimal point three places from the right in the product 216,430 to get 21.643.

One App. One Place for Learning.

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

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Multiply. $$ (2.3)(9.41) $$

Short Answer

Step by step solution

- Understand the problem

- Eliminate decimals by converting to whole numbers

- Multiply the whole numbers

- Reintroduce the decimal points

- Verify the result

Key Concepts

Decimal Multiplication

Long Multiplication

Number Conversion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Decision Maths

Mechanics Maths

Calculus

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.