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Chapter 7: Problem 69

In the following exercises, simplify. $$ 36(0.2)(5) $$

Short Answer

Expert verified
36

Step by step solution

01

Multiply 36 by 0.2

First, multiply 36 by 0.2:\[ 36 \times 0.2 = 7.2 \]
02

Multiply the Result by 5

Next, take the result from Step 1, which is 7.2, and multiply by 5:\[ 7.2 \times 5 = 36 \]

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Key Concepts

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

simplifying expressions
Simplifying expressions might seem daunting at first, but it becomes manageable once broken down into smaller steps. The goal is to make the expression easier to work with by reducing it to its simplest form.
To simplify the expression 36(0.2)(5), we break it down into two main multiplication steps.
Always follow these steps:
  • First, perform the multiplication inside any parentheses.
  • Then combine the results step by step until you reach a single simplified number or expression.
By systematically following these rules, the complex expression 36(0.2)(5) is turned into an easier calculation through multiplication.
decimal multiplication
Multiplying decimals can appear tricky, but it's straightforward once you understand the basic rules. Here鈥檚 how to handle it:
  • First, ignore the decimal points and just multiply the numbers as if they were whole numbers.
  • After multiplying, count the total number of decimal places in the factors. This will be the number of decimal places in the product.
  • Finally, place the decimal point in the product.
Let's walk through the example from the exercise:
In Step 1: Multiply 36 by 0.2, we write it as 36 multiplied by 2 (ignoring the decimal). This gives us 72.
Since 0.2 has one decimal place, the product 72 needs one decimal place, making it 7.2.
Understanding these steps is crucial for succeeding with decimal multiplication.
basic arithmetic
Basic arithmetic forms the core of all math problems, and it鈥檚 essential to master it to handle more complex expressions efficiently.
In our example expression, basic arithmetic principles like multiplication are used. Recognizing how to apply these principles methodically helps simplify not just the given problem, but similar problems as well.
Consider the final portion of our exercise in Step 2: Multiply the Result by 5:
  • We take the result from the first multiplication step, which was 7.2.
  • We multiply 7.2 by 5, again treating it as a basic multiplication problem.
With proper handling of decimal points (from the decimal multiplication rules), 7.2 times 5 becomes 36.
These fundamental operations make complex problems much more manageable when broken down step by step.

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Most popular questions from this chapter

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