Solving Proportions Using Cross Products
Solving Proportions Using Cross Products is a skill on Pengi from Lesson 44: Solving Proportions Using Cross Products and Slope of a Line in Saxon Math, Course 3.
Key Concepts
Property If two ratios are equal, their cross products are equal. For a proportion $\frac{a}{b} = \frac{c}{d}$, this means $ad = bc$.
Examples For $\frac{x}{12} = \frac{4}{6}$, cross products give $6x = 12 \cdot 4$, so $6x = 48$ and $x = 8$. For $\frac{y}{2.5} = \frac{4}{10}$, cross products give $10y = 2.5 \cdot 4$, so $10y = 10$ and $y = 1$. For $\frac{5}{z} = \frac{2}{8}$, cross products give $5 \cdot 8 = 2z$, so $40 = 2z$ and $z = 20$.
Explanation Turn a tricky fraction equation into a simple one! The 'criss cross' shortcut lets you multiply diagonally across the equals sign. This gets rid of the fractions and leaves you with a basic equation, making it super easy to find the missing value. It's like a magic trick for proportions!
Common Questions
What is Solving Proportions Using Cross Products?
Solving Proportions Using Cross Products is a skill on Pengi from Lesson 44: Solving Proportions Using Cross Products and Slope of a Line in Saxon Math, Course 3.
What grade level is Solving Proportions Using Cross Products for?
Solving Proportions Using Cross Products is part of the Grade 8 Math curriculum, covered in Saxon Math, Course 3. It is designed for students studying Math at the Grade 8 level.
How can I learn Solving Proportions Using Cross Products?
Pengi offers an AI-guided lesson for Solving Proportions Using Cross Products that walks you through the key concepts step by step. The lesson is aligned to Saxon Math, Course 3 so the content matches what you see in class.
How do I practice Solving Proportions Using Cross Products?
After learning the concept, use the Practice mode to work through targeted exercises on Solving Proportions Using Cross Products. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Solving Proportions Using Cross Products?
Solving Proportions Using Cross Products is covered in Saxon Math, Course 3, specifically in Chapter 5: Number & Operations • Algebra under Lesson 44: Solving Proportions Using Cross Products and Slope of a Line. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Solving Proportions Using Cross Products free to study on Pengi?
Yes, the core Learn and Practice modes for Solving Proportions Using Cross Products are available for free on Pengi. No credit card is required to start studying.