Reading Math
Reading math symbols and notation correctly is a foundational literacy skill in Grade 6 math (Saxon Math, Course 1). The word 'of' between a fraction (or percent) and a number signals multiplication: ½ of ½ = ½ × ½ = ¼. Other key reading conventions: the fraction bar means division (6/2 = 6 ÷ 2 = 3); exponent notation 3² means 3 × 3; √ means square root; the equal sign (=) means both sides have the same value. Reading equations aloud using correct mathematical language — 'three squared equals nine' or 'the square root of 25 is 5' — builds conceptual understanding and prevents symbol confusion in multi-step problems.
Key Concepts
Property The 'of' in '$\frac{1}{2}$ of $\frac{1}{2}$' means to multiply.
Examples '$\frac{1}{2}$ of $\frac{4}{5}$' is a secret code for $\frac{1}{2} \times \frac{4}{5} = \frac{4}{10}$, which reduces to $\frac{2}{5}$. '$\frac{2}{3}$ of $\frac{3}{4}$' simply means $\frac{2}{3} \times \frac{3}{4} = \frac{6}{12}$, which reduces to $\frac{1}{2}$. '$\frac{1}{4}$ of 20 dollars' means $\frac{1}{4} \times \frac{20}{1} = \frac{20}{4}$, which equals 5 dollars.
Explanation In the world of math, the word 'of' is a secret agent with one mission: to tell you to multiply. When you read a phrase like 'one half OF three quarters,' that 'of' is your cue to set up a multiplication problem. It's the dictionary's way of saying 'take a piece of that other piece,' so you multiply to find out how big it is.
Common Questions
What does the word 'of' mean in math?
'Of' means multiply. ½ of 12 = ½ × 12 = 6. This applies to fractions, percents, and decimals used with 'of.'
What does the fraction bar represent?
Division. The fraction 3/4 means 3 ÷ 4 = 0.75.
How do you read the expression 5²?
'Five squared' or 'five to the second power.' It means 5 × 5 = 25.
What does the symbol √ mean?
Square root. √49 is read 'the square root of 49' and equals 7.
Why is reading math notation carefully important?
Misreading a symbol changes the operation. Confusing 'of' with addition, or the fraction bar with subtraction, leads to completely wrong answers.