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Chapter 6: Problem 5

Find decimal notation. $$ 67 \% $$

Short Answer

Expert verified
0.67

Step by step solution

01

Understand the percentage

To convert a percentage to decimal notation, understand that a percentage is a number out of 100. So, 67% means 67 out of 100.
02

Convert percentage to a fraction

Express 67% as a fraction by writing it as \(\frac{67}{100}\).
03

Simplify the fraction

Simplify the fraction if possible. In this case, \(\frac{67}{100}\) is already in its simplest form.
04

Convert the fraction to a decimal

To convert the fraction \(\frac{67}{100}\) to a decimal, divide the numerator (67) by the denominator (100).
05

Calculate the division

Perform the division \(\frac{67}{100} = 0.67\).

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Key Concepts

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

percentages
Percentages are a way of expressing numbers as parts of a whole. The term 'percent' means 'out of 100.' For example, 67% represents 67 out of 100 parts. It's useful for comparing values and understanding proportions. To convert a percentage to different forms, like fractions or decimals, grasp the idea that you are dealing with parts of 100. Always remember to write percentages with the percent sign (%) to indicate this special meaning.
fractions to decimals
Converting fractions to decimals is an essential math skill. A fraction consists of two parts: the numerator (top number) and the denominator (bottom number). For example, in the fraction \( \frac{67}{100} \), 67 is the numerator and 100 is the denominator. The fraction represents 67 divided by 100. To convert it into a decimal, you actually perform this division. Dividing 67 by 100 gives you 0.67. As a rule, fractions with denominators that are 10, 100, 1000, etc., are simpler to convert since you just move the decimal point to the left based on the number of zeros. For instance, 67 divided by 100 moves the decimal two places to the left.
basic arithmetic operations
Basic arithmetic operations include addition, subtraction, multiplication, and division. These operations are fundamental to all areas of math. In the context of converting percentages to decimals, we primarily use division. To convert a percentage to a decimal, you divide by 100. For example, to find the decimal notation for 67%, you perform the division 67 梅 100. It's helpful to remember that dividing by 100 shifts the decimal point two places to the left. Practicing these operations strengthens your problem-solving skills and ensures you can handle various types of calculations with ease.

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Most popular questions from this chapter

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