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Chapter 6: Problem 53

In the following exercises, convert each decimal to a percent. $$1.35$$

Short Answer

Expert verified
1.35 as a percentage is 135%.

Step by step solution

01

Understand the Problem

The task requires converting the decimal number 1.35 into a percentage.
02

Use the Conversion Formula

To convert a decimal to a percentage, multiply the decimal number by 100.
03

Perform the Multiplication

Multiply 1.35 by 100: equation: evaluate the expression: By calculating it: 1.35 脳 100 = 135.
04

Add the Percent Symbol

After multiplying, add the percent symbol (%) to the result. So, 1.35 脳 100 = 135%. Hence, the decimal 1.35 as a percentage is 135%.

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Key Concepts

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

percentage conversion
In mathematics, converting a decimal to a percent is a common task. The idea is to express the decimal value as a part of 100, which is the basis of percentage calculation. For example, let's consider the decimal number 1.35.
To convert this decimal into a percentage, follow these simple steps:
  • First, multiply the decimal by 100.
  • After multiplying, you get 135.
  • Finally, add the percent symbol (%) to the result.
Thus, 1.35 becomes 135% when converted to a percentage. This method helps in many real-world calculations such as finding discounts, interest rates, and comparing data.
multiplying decimals
Multiplying decimals is a fundamental mathematical operation you'll encounter frequently. In the context of converting decimals to percentages, understanding this skill is essential. Let's break down the operation using the decimal 1.35.
To multiply 1.35 by 100, follow these steps:
  • First, ignore the decimal point and consider the numbers as whole numbers, i.e., 135.
  • Then, multiply 135 by 100, which equals 13500.
  • After multiplication, count the number of decimal places in the original decimal number, which is two in the case of 1.35.
  • Finally, place the decimal point in 13500 two places from the right, resulting in 135.00.
This multiplication yields 135.00, which is simplified as 135.
Understanding how to multiply decimals accurately ensures precision in larger mathematical problems.
mathematical operations
Performing mathematical operations like multiplication and conversion are fundamental skills in mathematics. Converting decimals to percentages involves a combination of these operations. Understanding these thoroughly is important for accuracy.
Let's summarize:
  • Identify the decimal number to be converted, e.g., 1.35.
  • Apply the conversion formula by multiplying the decimal by 100.
  • Accurately perform the multiplication of decimals, ensuring precision in placing the decimal point.
  • Add the percentage symbol to the resultant number.
By mastering these steps, you can handle various mathematical problems with confidence. These operations form the basis of many complex real-world calculations such as financial forecasting and data analysis. Always double-check your steps to ensure accuracy and avoid mistakes.

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