Problem 273 - Prealgebra

Question

In the following exercises, multiply. $$1,000(88)$$

Step-by-Step Solution

Answer

88,000

Step 1: Understand the Problem

The goal is to multiply 1,000 by 88. This can be written as: \[1,000 \times 88\]

Step 2: Set Up the Multiplication

Write the numbers to be multiplied in standard format: \[1,000 \times 88\]

Step 3: Perform the Multiplication

Multiply the two numbers directly. Since 1,000 is a multiple of 10, simply add three zeros to the product of 1 and 88: \[1,000 \times 88 = 88,000\]

Step 4: Write the Final Answer

The result, as calculated, is: \[88,000\]

Key Concepts

multiplying large numbers

Understanding how to multiply large numbers is a valuable skill in math. It might look intimidating, but with the right approach, it becomes a straightforward task.
Large numbers can be simplified by breaking them down into smaller components. For example, when multiplying 1,000 by 88, it is helpful to first consider the multiplication of their smaller factors.
This process helps to keep track of all digits, ensures accuracy, and simplifies what initially seems complex. Remember, practice makes perfect, so try different problems to master this skill.

using multiples of 10

Multiples of 10 are numbers like 10, 100, 1,000, and so on. Multiplying these numbers can be easier because they end in one or more zeros.
When you multiply a number by a multiple of 10, you can first multiply the number by 1 and then add the appropriate number of zeros at the end. For instance:
To multiply 1,000 (which is a multiple of 10) by 88, you first multiply 88 by 1, resulting in 88. Then, add the three zeros from 1,000 to the product of 88 and 1, yielding 88,000.
This technique streamlines the process and makes it much faster and simpler.

step-by-step calculation

Breaking down a problem into smaller, manageable steps can make calculations easier.
Take, for instance, the exercise of multiplying 1,000 by 88. Let's see how we can tackle it step by step:

• Step 1: Understand the Problem - Here, you identify the task, which is to multiply 1,000 by 88.
• Step 2: Set Up the Multiplication - Write the multiplication in its standard form: 1,000 x 88.
• Step 3: Perform the Multiplication - Multiply the numbers directly. Since 1,000 is a multiple of 10, you multiply 88 by 1 and then append the three zeros to get 88,000.
• Step 4: Write the Final Answer - Clearly state the result, which in this case is 88,000.

Following these steps ensures organized work and minimizes errors. It also supports a clear understanding of each component in the calculation process.