Expressing Whole Numbers as Fractions
Expressing Whole Numbers as Fractions is a Grade 3 math skill from Eureka Math establishing that any whole number n can be written as the fraction n/1. This means 1 = 1/1, 2 = 2/1, 5 = 5/1, and so on. This notation places whole numbers on the same number line as fractions, enabling comparisons between whole numbers and fractions. It is also foundational for converting mixed numbers to improper fractions, since 3 and 1/4 = 3/1 + 1/4 = 12/4 + 1/4 = 13/4.
Key Concepts
Any whole number $n$ can be written as a fraction with a denominator of 1: $$n = \frac{n}{1}$$.
Common Questions
How do you express a whole number as a fraction?
Write the whole number as the numerator over a denominator of 1. For example, 6 = 6/1, 10 = 10/1.
Why does n/1 = n?
Dividing any number by 1 leaves it unchanged (Identity Property of Division). So n ÷ 1 = n, which is what the fraction n/1 represents.
Why is expressing whole numbers as fractions useful?
It places whole numbers and fractions in the same system, making comparison possible. It also enables conversion between whole numbers and fraction form needed for mixed number operations.
How does expressing whole numbers as fractions connect to mixed numbers?
A mixed number like 2 and 3/5 can be converted: 2 = 10/5, so 2 and 3/5 = 10/5 + 3/5 = 13/5. Writing 2 as 10/5 requires expressing the whole number 2 as a fraction with denominator 5.
In which textbook is Expressing Whole Numbers as Fractions taught?
This skill is taught in Eureka Math, Grade 3.