Writing Equations for Multiplicative Comparisons
Writing Equations for Multiplicative Comparisons is a Grade 4 math skill in enVision Mathematics, Chapter 6: Use Operations with Whole Numbers to Solve Problems. Students translate verbal comparisons like "n times as many" into multiplication equations and use them to solve for unknown values.
Key Concepts
A multiplicative comparison can be represented by the equation: $$ \text{Larger Quantity} = \text{Multiplier} \times \text{Smaller Quantity} $$ If we let $L$ be the larger quantity, $S$ be the smaller quantity, and $n$ be the multiplier, the general form is $L = n \times S$.
Common Questions
What is a multiplicative comparison equation?
A multiplicative comparison equation uses multiplication to show that one quantity is a certain number of times as large as another. For example, if Amy has 4 times as many cards as Ben, the equation is Amy equals 4 times Ben.
How do you write an equation for a multiplicative comparison?
Identify the comparison: which amount is larger, and what is the multiplying factor. Write the equation as Larger Quantity equals Factor times Smaller Quantity.
What is an example of a multiplicative comparison equation?
Tom has 5 times as many stickers as Jake. If Jake has 8 stickers, the equation is T equals 5 times 8, so T equals 40.
How do you solve a multiplicative comparison equation?
Multiply the known smaller quantity by the factor to find the larger quantity, or divide the larger quantity by the factor to find the smaller one.
What chapter covers multiplicative comparison equations in enVision Grade 4?
Writing equations for multiplicative comparisons is covered in Chapter 6: Use Operations with Whole Numbers to Solve Problems in enVision Mathematics Grade 4.