Converting Fractions to Decimals
Converting fractions to decimals is a Grade 5 math skill in enVision Mathematics, Chapter 1: Understand Place Value. For fractions with denominators of 10, 100, or 1,000, students write the numerator so its last digit occupies the place indicated by the denominator (tenths, hundredths, or thousandths). For example, 37/100 = 0.37 and 5/10 = 0.5.
Key Concepts
To convert a fraction with a denominator of 10, 100, or 1,000 to a decimal, write the numerator so its last digit is in the place value indicated by the denominator. The tenths place is one position after the decimal, hundredths is two, and thousandths is three.
Common Questions
How do you convert a fraction with a denominator of 10 to a decimal?
Write the numerator with its last digit in the tenths place. For example, 7/10 = 0.7.
How do you convert a fraction with denominator 100 to a decimal?
Write the numerator so its last digit is in the hundredths place (two places after the decimal). For example, 37/100 = 0.37.
What is 5/1000 as a decimal?
5/1000 = 0.005, since the 5 goes in the thousandths place (three places after decimal).
Where is converting fractions to decimals taught in enVision Grade 5?
Chapter 1: Understand Place Value in enVision Mathematics, Grade 5.
Can all fractions be converted to decimals?
Yes, all fractions can be expressed as decimals, either terminating or repeating. Fractions with denominators that are factors of powers of 10 give terminating decimals.