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Chapter 1: Problem 31

Multiply. \begin{array}{r} 26 \\ \times 2 \\ \hline \end{array}

Short Answer

Expert verified
52

Step by step solution

01

Identify the Numbers

Recognize the numbers involved in the multiplication: 26 and 2.
02

Multiply the Units Place

Multiply the digit in the units place of 26 (which is 6) by 2: 6 脳 2 = 12.Write down the 2 in the units place and carry over the 1 to the tens place.
03

Multiply the Tens Place

Multiply the digit in the tens place of 26 (which is 2) by 2: 2 脳 2 = 4.Add the carried over 1: 4 + 1 = 5.
04

Combine the Results

Place the 5 from the tens place next to the 2 from the units place to form the final answer: 52.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Step-by-Step Solution
Understanding how to multiply numbers step-by-step makes math easier. Here, we'll break down the multiplication of 26 and 2 so you can follow along easily.
First, recognize the numbers involved in the multiplication, which are 26 and 2.
Then, follow a systematic approach to multiply each digit from right to left.
Units Place
The units place is the rightmost digit in a number. For instance, in 26, the units place digit is 6.
To start the multiplication, we multiply the units place digit of the first number (26) by the second number (2).
Thus, we calculate: 6 脳 2 = 12.
Write down the 2 in the units place of your final answer and carry over the 1.
Remember, the units place is essentially where we start for these types of calculations, always working from right to left.
Tens Place
The tens place is the second digit from the right. For 26, the tens place is 2.
Next, multiply the tens place digit of 26 by 2: 2 脳 2 = 4.
Don鈥檛 forget the 1 that you carried over from the units place: add it to this result.
So, 4 + 1 = 5.
Place this 5 in the correct position in your final answer.
Carry Over
The carry-over concept occurs when the multiplication of digits results in a number greater than 9.
In our example, multiplying 6 by 2 gives 12. We can't write 12 as a single digit, so we write down 2 and carry over 1.
This carried-over number is then added to the next digit's product.
It鈥檚 crucial to remember to add any carry-over during multiplication to avoid mistakes.
Basic Arithmetic
Basic arithmetic involves addition, subtraction, multiplication, and division.
These operations form the foundation of mathematics and are used in everyday problem-solving.
Practicing basic arithmetic, such as multiplying 26 by 2, strengthens understanding and builds confidence.
For younger learners, understanding the step-by-step methods can simplify more complex problems later on.
Remember, breaking down big problems into smaller steps makes solving them easier.

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