Using Multiplication to Find a Total in a Multi-Step Problem
Using multiplication to find a total in a multi-step problem is a Grade 4 math skill from Eureka Math where students first multiply a fraction by a whole number to find a subtotal, then use that result in a subsequent addition or subtraction to answer the full question. For example, if 3 containers each hold 2/5 L and one extra container holds 1/5 L, the total is (3 x 2/5) + 1/5 = 6/5 + 1/5 = 7/5 = 1 2/5 L. Covered in Chapter 27 of Eureka Math Grade 4, this skill integrates fraction multiplication with multi-step problem solving and prepares students for the more complex expressions they encounter in grade 5 and 6 algebra.
Key Concepts
To solve a multi step word problem, break the problem down into smaller parts. First, write a number sentence to find a total amount using fraction multiplication. Then, use that result in a second step, such as addition or subtraction, to find the final answer.
Common Questions
How do you use multiplication to find a total in a multi-step problem?
First identify the repeated groups and write a multiplication expression for the subtotal. Then combine that subtotal with any remaining amount using addition or subtraction to find the final answer.
What does multiplying a fraction by a whole number mean?
Multiplying a fraction by a whole number means adding that fraction to itself the stated number of times. 4 x 1/3 = 1/3 + 1/3 + 1/3 + 1/3 = 4/3. The whole number becomes the new numerator.
What grade uses multiplication in multi-step fraction problems?
This skill is a 4th grade math topic from Chapter 27 of Eureka Math Grade 4 on Repeated Addition of Fractions as Multiplication.
What is the order of operations in a two-step fraction problem?
Perform multiplication before addition or subtraction, just as with whole numbers. Find all products first, then combine results with any additions or subtractions specified by the problem.
What are common mistakes in multi-step fraction problems?
Students sometimes add all the fractions before multiplying, applying a different operation order than intended. Reading each step carefully and annotating which operation goes first prevents this.
How does this skill connect to algebraic expressions?
Writing a multi-step fraction problem as a single expression like (3 x 2/5) + 1/5 mirrors how algebra uses parentheses to show order. This prepares students for translating word problems into algebraic form in middle school.