/*! 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 60 Multiply. $$ \begin{array}{r... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 60

Multiply. $$ \begin{array}{r} 7026 \\ \times \quad 528 \\ \hline \end{array} $$

Short Answer

Expert verified
3689648

Step by step solution

01

- Multiply by the Ones Digit

Multiply each digit of 7026 by the ones digit of 528, which is 8. \(7026 \times 8 = 56128\).
02

- Multiply by the Tens Digit

Multiply each digit of 7026 by the tens digit of 528, which is 2, and then shift one position to the left. \(7026 \times 2 = 14052\), so \(14052\) becomes \(140520\).
03

- Multiply by the Hundreds Digit

Multiply each digit of 7026 by the hundreds digit of 528, which is 5, and then shift two positions to the left. \(7026 \times 5 = 35130\), so \(35130\) becomes \(3513000\).
04

- Add the Products

Add all the products from the previous steps to get the final result. \(56128 + 140520 + 3513000 = 3689648\).

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.

Step-by-step multiplication
To multiply numbers effectively, it's important to follow a systematic approach. Let's break down the multiplication process into smaller, manageable steps. This will help you understand and solve even large multiplication problems with ease. In this section, we will use an example problem to illustrate the step-by-step approach clearly.
Multiplying multiple digits
When you multiply multi-digit numbers, it鈥檚 crucial to handle each digit separately. Let鈥檚 take the example of multiplying 7026 by 528.
Here鈥檚 how you can do it:
  • First, multiply each digit of 7026 by the ones place of 528, which is 8. The result is 56128.
  • Next, multiply each digit of 7026 by the tens place of 528, which is 2. Remember, since we are multiplying by the tens place, we shift our result one position to the left. The result is 14052, becoming 140520 after the shift.
  • Finally, multiply each digit of 7026 by the hundreds place of 528, which is 5. Because we are handling the hundreds place, we shift the result two positions to the left. This results in 35130, and 3513000 after the shift.
By breaking down the multiplication process in this way, you systematically manage each place value, making the problem much more manageable.
Addition of products
The final step in multi-digit multiplication is combining all the intermediate products you鈥檝e calculated. In our example, we have three numbers:
  • 56128 from the ones place multiplication,
  • 140520 from the tens place multiplication,
  • 3513000 from the hundreds place multiplication.
Adding these numbers together gives us the final product: 56128 + 140520 + 3513000 = 3689648.
This step ensures that all contributions from different place values are accounted for correctly. By carefully adding these products, you achieve the final result in a clear and structured manner.

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

What is the greatest three-digit number that can be formed from the digits \(6,9,\) and \(4 ?\) Use each digit only once.

Rewrite the expression, using the indicated property. \(6 \cdot(2 \cdot 10) ;\) associative property of multiplication

Convert the numbers to standard form. 8 ten-thousands \(+5\) thousands \(+7\) ones

Convert the numbers to expanded form. $$58$$

Convert the numbers to standard form. 5 hundreds \(+2\) tens \(+4\) ones
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

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.