Applying Multiplication in Word Problems
Applying Multiplication in Word Problems is a Grade 5 math skill from Illustrative Mathematics Chapter 4 (Wrapping Up Multiplication and Division with Multi-Digit Numbers) that teaches students to identify equal-sized groups in real-world situations and set up multiplication expressions to find totals. The key formula is Total = Number of groups times Size of each group. Students practice with multi-digit numbers to build fluency in problem-solving contexts.
Key Concepts
Property To solve a word problem, identify the key quantities and determine the operation needed. For problems about finding a total from equal sized groups, set up a multiplication expression. $$Total = (Number\ of\ groups) \times (Size\ of\ each\ group)$$.
Examples A large aviary has 127 sections. If each section can house 15 birds, how many birds can the aviary house in total? $$127 \times 15 = 1,905$$ A bird sanctuary needs to build new nesting boxes. They plan to build 28 rows of boxes, with 112 boxes in each row. How many nesting boxes will they build in total? $$112 \times 28 = 3,136$$.
Explanation Word problems describe real world situations using numbers and text. First, read the problem carefully to understand what is being asked. Next, identify the numbers representing the groups and the amount in each group. Finally, multiply these numbers together to find the total amount.
Common Questions
How do you set up a multiplication word problem?
Read the problem carefully to identify the number of equal groups and the size of each group. Multiply these two numbers together using Total = (Number of groups) × (Size of each group) to find the answer.
What chapter covers multiplication word problems in Illustrative Mathematics Grade 5?
Multiplication word problems are covered in Chapter 4 of Illustrative Mathematics Grade 5, titled Wrapping Up Multiplication and Division with Multi-Digit Numbers.
What is the formula for equal groups multiplication?
The formula is Total = (Number of groups) × (Size of each group). For example, if an aviary has 127 sections each housing 15 birds, the total is 127 × 15 = 1,905 birds.
How do multi-digit multiplication word problems work in 5th grade?
In Grade 5, students apply multi-digit multiplication to word problems involving large numbers. They identify the key quantities, set up the multiplication expression, and compute using strategies like the standard algorithm or partial products.
Why are word problems important for learning multiplication?
Word problems give multiplication a real-world context, helping students understand when and why to multiply. They develop the skill of translating written situations into mathematical expressions, which is foundational for algebra.