Solving Two-Step Word Problems with Multiplication and Addition
Solving Two-Step Word Problems with Multiplication and Addition is a Grade 3 math skill from Eureka Math covering problems requiring multiplication in the first step and addition in the second. The general form is (a × b) + c = Total. Students find the product of the equal groups first, then add any additional quantity. For example: 5 bags of 6 apples plus 3 extra apples = (5 × 6) + 3 = 33 apples. Third graders identify the structure of each step and apply operations in the correct order.
Key Concepts
To solve a two step word problem involving multiplication and addition, first find the product of the initial groups, then add the additional amount. The general form is: $$(a \times b) + c = \text{Total}$$.
Common Questions
What is the structure of a two-step multiplication and addition word problem?
Step 1: Multiply to find a subtotal (S = a × b). Step 2: Add the additional amount (Total = S + c). The general form is (a × b) + c = Total.
Give an example of a two-step multiplication and addition problem.
A student has 4 boxes of 7 crayons and 5 extra crayons. Total = (4 × 7) + 5 = 28 + 5 = 33 crayons.
How do you identify the multiplication step in a word problem?
Look for equal groups—words like 'each,' 'per,' 'every,' or descriptions of identical amounts. The multiplication finds the combined total of those equal groups.
What happens if you add before multiplying in these problems?
You get the wrong answer. The multiplication finds the subtotal from equal groups first; then the addition adjusts by the extra amount. Order matters.
In which textbook is Solving Two-Step Word Problems with Multiplication and Addition taught?
This skill is taught in Eureka Math, Grade 3.