Problem 544 - Prealgebra

Question

Multiply. $$1,000(22)$$

Step-by-Step Solution

Answer

22,000.

Step 1: Identify the Numbers to Multiply

We need to multiply the numbers 1,000 and 22.

Step 2: Multiply the Numbers

Multiply 1,000 by 22. The operation is straightforward: \(1,000 \times 22 = 22,000\)

Step 3: Verify the Result

To ensure the result is correct, check the multiplication again or use a calculator. The result should be 22,000.

Key Concepts

step by step solutions

A step by step solution guides you through the problem-solving process in small, manageable stages. These stages help you understand each part of the problem. Let’s break down the multiplication problem given in the exercise.
First, we identify the numbers we need to multiply. In this case, it's 1,000 and 22. Starting with this step helps set the foundation for solving the problem.
Next, we perform the multiplication. The calculation is straightforward: \(1,000 \times 22 = 22,000\). This is where understanding place value can be helpful. Think of 1,000 as one thousand units, and when you multiply it by 22, you can break it down into multiplying 1,000 by 20 and then adding 1,000 multiplied by 2.
Finally, it's important to verify our result. This means checking our calculation to ensure it is correct. We can do this by performing the multiplication again or using a calculator to confirm that \(1,000 \times 22\) indeed equals 22,000.

verifying results

Verifying results ensures that your answer is correct and helps reinforce your understanding. Imagine you finish your math problem and get an answer, but you don't verify it. If it’s wrong, you won’t know until later. Verifying can be done in several ways:

• Recalculate the answer to confirm it matches your initial result.
• Use a calculator for complex multiplications to double-check.
• You can also use reverse operations, like division, to verify results. For example, if \(1,000 \times 22 = 22,000\), dividing 22,000 by 22 should give us 1,000.

In our example, after multiplying 1,000 by 22 and getting 22,000, recalculating the multiplication or using a calculator will help ensure the solution is accurate.

basic arithmetic operations

Understanding basic arithmetic operations, such as addition, subtraction, multiplication, and division, is crucial for solving math problems. Multiplication is one of these key operations.
When multiplying two numbers, think of it as repeated addition. For instance, \(1,000 \times 22\) can be thought of as adding 1,000 to itself 22 times. The process involves:

• Identifying the numbers to multiply.
• Applying place value knowledge to multiply each digit accordingly.
• Summing these values up if necessary.

In our problem, \(1,000 \times 22 = 22,000\), knowing that multiplying any number by a thousand shifts its digits three places to the left simplifies the process. Basic arithmetic helps build a strong foundation for more complex math concepts and real-world applications.