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Chapter 4: Problem 60

Simplify. $$ (18.6-4.9) \times 13 $$

Short Answer

Expert verified
178.1

Step by step solution

01

- Subtract the Numbers in Parentheses

First, simplify the expression inside the parentheses: \[ 18.6 - 4.9 = 13.7 \]
02

- Multiply the Result by 13

Next, multiply the result from Step 1 by 13: \[ 13.7 \times 13 = 178.1 \]

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Key Concepts

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

Subtraction
Subtraction is a basic arithmetic operation, and it involves taking one number away from another. In the given exercise, you need to subtract 4.9 from 18.6.

Steps for Subtraction:
  • Align the numbers by their decimal points.
  • Subtract each digit starting from the rightmost digit (the tenths place here).
  • If needed, borrow from the left digit to complete the subtraction.

In our exercise:
18.6 - 4.9 = 13.7
Practicing subtraction is essential as it is frequently used in more complex operations.
Multiplication
Multiplication is another fundamental arithmetic operation. It can be thought of as repeated addition. To multiply two numbers, you increase one number by the other number of times.

In the exercise, the second step is to multiply 13.7 by 13.

Steps for Multiplication:
  • Line up the numbers, ignoring the decimal point initially.
  • Multiply each digit of the lower number by each digit of the upper number, starting from the rightmost digit.
  • Add the results appropriately, remembering to place the decimal point in the final answer by counting total decimal places in the multiplied numbers.

In our exercise, it's done as follows:
13.7 脳 13 = 178.1
Mastering multiplication helps in dealing with complex problems where quick calculation is key.
Order of Operations
The order of operations is crucial in mathematics to ensure everyone evaluates expressions the same way. It describes the sequence in which operations should be performed. You might know it as PEMDAS/BODMAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Steps to Follow:
  • Simplify the expressions inside parentheses first.
  • Evaluate exponents if there are any.
  • Perform multiplication and division from left to right.
  • Complete addition and subtraction from left to right.

In the given exercise:
  • Step 1: Simplify inside the parentheses: 18.6 - 4.9 = 13.7
  • Step 2: Multiply the result by 13: 13.7 脳 13 = 178.1

Understanding the order of operations helps avoid mistakes when solving expressions.

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Most popular questions from this chapter

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