Writing Fractions as Thousandths Decimals
Writing fractions as thousandths decimals is a Grade 5 math skill in enVision Mathematics, Chapter 1: Understand Place Value. Students learn that fractions with a denominator of 1,000 correspond directly to three decimal places, so 1/1000 = 0.001, 37/1000 = 0.037, and 500/1000 = 0.500. This skill connects fraction and decimal representations at the thousandths level.
Key Concepts
Property A fraction with a denominator of $1,000$ is equivalent to a decimal that extends to the thousandths place, which is the third position to the right of the decimal point. $$\frac{1}{1000} = 0.001$$.
Examples The fraction $\frac{4}{1000}$ is read as "four thousandths" and is written as the decimal $0.004$.
The fraction $\frac{97}{1000}$ is read as "ninety seven thousandths" and is written as the decimal $0.097$.
Common Questions
How do you write a fraction with denominator 1000 as a decimal?
A fraction over 1000 equals a decimal in the thousandths place. For example, 37/1000 = 0.037 and 5/1000 = 0.005.
What decimal place is the thousandths?
The thousandths place is three digits to the right of the decimal point. In 0.037, the 7 is in the thousandths place.
How is 250/1000 written as a decimal?
250/1000 = 0.250, which can be simplified to 0.25 (hundredths), since 250/1000 = 25/100.
Where is writing thousandths decimals taught in enVision Grade 5?
Chapter 1: Understand Place Value in enVision Mathematics, Grade 5.
Why is understanding thousandths important in 5th grade?
Thousandths appear in measurements, money, and science. Connecting fractions to their decimal equivalents builds number sense needed for decimal operations.