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Chapter 4: Problem 88

Evaluate. $$ 100(72.79) $$

Short Answer

Expert verified
7279

Step by step solution

01

Understand the Problem

The given exercise requires multiplication of 100 and 72.79.
02

Set Up the Multiplication

Write down the problem as \( 100 \times 72.79 \).
03

Perform the Multiplication

Multiply the number by 100, which involves moving the decimal point two places to the right. Hence, \( 72.79 \times 100 \) becomes 7279.

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Key Concepts

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

Understanding Basic Arithmetic
Basic arithmetic is fundamental in math. It includes addition, subtraction, multiplication, and division. Multiplication is a method of finding the result of combining a number a certain number of times. In our problem, we need to multiply 100 by 72.79.
This multiplication means we take 72.79 and add it to itself 100 times.
The steps we go through are simple, yet understanding the concept makes it easier.
Decimal Multiplication
Decimal multiplication works similarly to whole number multiplication, but with an extra step to account for the decimal point.
When multiplying by powers of 10 (like 100), you can move the decimal point to the right. For each zero in the power of 10, you move the decimal one place. In our problem:
  • 72.79 multiplied by 100 (which is 10虏 since 100 has two zeros)
  • The decimal shifts two places to the right
  • 72.79 becomes 7279
This method saves time and ensures accuracy, making decimal multiplication simpler.
Step-by-Step Problem Solving
Step-by-step problem solving helps break complex problems into manageable parts.
Let鈥檚 detail each step from our multiplication problem:
  • Step 1: Understand we need to multiply 100 by 72.79.
  • Step 2: Write it down as: \( 100 \times 72.79 \)
  • Step 3: Multiply by moving the decimal: 72.79 becomes 7279
With these steps, you can tackle any similar problem systematically and efficiently.
Practicing these steps with different numbers helps solidify your understanding.

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