Applying and Comparing Decimal Conversions
This Grade 7 math skill from Reveal Math, Accelerated focuses on applying and comparing different methods for converting between fractions, decimals, and percents. Students practice converting numbers using division, place value, and proportional reasoning, and compare results to deepen their understanding of decimal representations.
Key Concepts
Property To compare fractions or mixed numbers—especially in real world contexts—convert them into their decimal forms. Once converted, compare their place values from left to right.
For repeating decimals, extend the repeating pattern mentally or on paper to ensure you are comparing corresponding place values accurately.
Examples Example 1 (Comparing Measurements): Compare two lengths of wire: 5/8 meter and 2/3 meter. 5/8 = 0.625 2/3 = 0.666... Comparing the tenths place, 0.625 is less than 0.666..., so 5/8 meter is shorter than 2/3 meter. Example 2 (Mixed Numbers): Which race time is faster, 12 and 1/4 seconds or 12 and 1/3 seconds? 12 and 1/4 = 12.25 12 and 1/3 = 12.333... Since 12.25 is less than 12.333..., the time of 12 and 1/4 seconds is the faster time.
Common Questions
How do you convert a fraction to a decimal?
Divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75.
How do you convert a decimal to a percent?
Multiply the decimal by 100 and add the percent sign. For example, 0.75 × 100 = 75%.
Why is it important to compare decimal conversion methods?
Different conversion methods (long division, equivalent fractions, place value) can each reveal different aspects of a number, reinforcing number sense.
What is a common mistake when converting fractions to decimals?
A common mistake is dividing the denominator by the numerator instead of the other way around. Always divide numerator ÷ denominator.
Where is this skill taught in Reveal Math Accelerated?
Applying and comparing decimal conversions is covered in the Grade 7 Reveal Math, Accelerated textbook.