Problem 1 $$ \begin{array}{r} 65 \\ ... [FREE SOLUTION]

91影视

Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 1: Problem 1

$$ \begin{array}{r} 65 \\ \times \quad 8 \\ \hline \end{array} $$

Short Answer

Expert verified

520

Step by step solution

Multiply the Units Place

Multiply the units digit of the number 65 by 8. The units digit of 65 is 5. So, compute $ 5 \times 8 = 40 $. Write down 0 and carry over 4.

Multiply the Tens Place

Multiply the tens digit of the number 65 by 8. The tens digit of 65 is 6. So, compute $ 6 \times 8 = 48 $. Add the carried over 4 to this result: $ 48 + 4 = 52 $. Write down 52.

Combine Results

Combine the results from the previous steps. The first part is 0 from step 1 and the second part is 52 from step 2. Therefore, the product of 65 and 8 is 520.

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.

Units Place Multiplication

The process of solving multiplication problems starts with the units place multiplication. Here, you multiply the digit in the units place of one number by the number you are multiplying with. For example, if you have 65 and you want to multiply it by 8, you first look at the digit in the units place of 65, which is 5. Multiply 5 by 8 to get 40. This step is crucial as it sets the first part of your final product.
A helpful tip: Always write down the digit found in the units place of your answer (which was 0 in our example), and carry over the remaining value (which was 4) to the next step.

Tens Place Multiplication

Next, we move to tens place multiplication. Here, you multiply the digit in the tens place of the number by the same multiplier. Continuing with our example, the tens digit of 65 is 6. Multiply 6 by 8 to get 48. But don鈥檛 forget about the 4 we carried over from the previous step!
So, after multiplying 6 by 8 to get 48, you then add the carried over 4 to get a new sum: 48 + 4 = 52. Write down this new sum in the tens and hundreds places of your final product.

Carry Over in Multiplication

Carry over in multiplication is an important concept. It happens when the product of two numbers exceeds the value that a single place (like the units place) can hold. In our example, when we multiplied 5 (units place) by 8, we got 40. We cannot write 40 directly in the units place, so:

We write down '0', which is the units place of 40.
Then, we carry over '4', which is the tens place of 40, to the next level which is the tens multiplication.

This ensures that all values get properly added and accounted for. Without this carry over process, answers would be inaccurate.

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

$$ \begin{array}{r} 65 \\ \times \quad 8 \\ \hline \end{array} $$

Short Answer

Step by step solution

Multiply the Units Place

Multiply the Tens Place

Combine Results

Key Concepts

Units Place Multiplication

Tens Place Multiplication

Carry Over in Multiplication

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Mechanics Maths

Applied Mathematics

Logic and Functions

Discrete Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.