Question

Multiply. $$\begin{array}{r} 3285 \\ \times \quad 976 \\ \hline \end{array}$$

   Multiply.
$$\begin{array}{r}
3285 \\
\times \quad 976 \\
\hline
\end{array}$$

Prealgebra and Introductory Algebra

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 1, Problem 21

Instant Answer

Solved by Expert Ashley Hanson

06/19/2020

Step 1

So, $5 \times 5 = 25$, $8 \times 5 = 40$, $2 \times 5 = 10$, and $3 \times 5 = 15$. We write these numbers down, starting from the right and carrying over any tens to the next column. Show more…

Show all steps

lock

Thanks for your feedback!

Multiply. $$\begin{array}{r} 3285 \\ \times \quad 976 \\ \hline \end{array}$$

Play audio

Feedback

Powered by NumerAI

Ashley Hanson and 78 other educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Multiplication Algorithm

This refers to the step-by-step method used to compute the product of two numbers. It involves multiplying digits, taking into account their place values, and adding the resulting partial products to obtain the final answer.

Place Value

Understanding that each digit in a number has a value based on its position is crucial. In multiplication, aligning numbers by their place values ensures that digits are multiplied correctly and summed with the appropriate weight.

Carrying Over

When the product of digits exceeds the base (generally 10), the extra amount is 'carried over' to the next higher place value. This concept is essential to accurately compute multi-digit multiplication.

Long Multiplication

A systematic method for multiplying large numbers by hand, long multiplication involves writing the calculation in a column format, multiplying each digit separately, and then adding the shifted partial results to produce the final answer.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later