Question

In the following exercises, multiply. $$638\cdot 5$$

   In the following exercises, multiply.
$$638\cdot 5$$

Prealgebra

Lynn Marecek,… 1st Edition

Chapter 1, Problem 260

Instant Answer

Solved by Expert Julie Silva

04/15/2020

Step 1

Step 1: First, we rewrite the multiplication vertically: \[ \begin{array}{c} 638 \\ \times 5 \\ \end{array} \] Show more…

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In the following exercises, multiply. $$638\cdot 5$$

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Key Concepts

Standard Algorithm for Multiplication

The standard algorithm for multiplication is a systematic method used for multiplying multi-digit numbers. It involves multiplying the digits of the multiplicand by each digit of the multiplier and then adding the appropriately shifted results. This algorithm relies heavily on understanding place value and the structure of our base-ten number system.

Place Value

Place value is the principle that the position of a digit in a number determines its value. This concept is essential for performing operations like multiplication because it helps in aligning digits properly according to their value (ones, tens, hundreds, etc.) during calculation.

Multiplication

Multiplication is one of the basic arithmetic operations where a number, known as the multiplicand, is added to itself a number of times defined by the multiplier. It serves as the foundation for more advanced mathematical concepts and operations, and understanding it is crucial for problem-solving in various areas of mathematics.

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