Grade 5 Distributive Property Multiplication Worksheet

Grade 5 Distributive Property Multiplication Worksheet

The Grade 5 Distributive Property Multiplication Worksheet provides students with practice in applying the distributive property to multiplication problems. This worksheet includes a variety of multiplication equations that encourage students to break down numbers into sums for easier calculation. Designed for fifth-grade math students, it helps reinforce understanding of multiplication concepts and prepares them for more advanced math topics. Each problem is structured to enhance problem-solving skills and improve overall math proficiency.

Key Points

  • Includes 15 multiplication problems using the distributive property for Grade 5 students.
  • Encourages students to practice breaking down numbers into sums for easier multiplication.
  • Reinforces foundational math concepts essential for higher-level mathematics.
  • Designed to enhance problem-solving skills and boost confidence in math.
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  • Ayesha Siddiqui
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Reading & Math for K-5 © www.k5learning.com
Distributive property of multiplication
Grade 5 Multiplication Worksheet
Example: 3 x 23 = 3 x (20 + 3) = (3 x 20) + (3 x 3) = 60 + 9 = 69
Rewrite the equations using the distributive property and find
the answer.
1) 7 × 18 =
2) 10 × 25 =
3) 4 × 43 =
4) 7 × 82 =
5) 9 × 27 =
6) 10 × 87 =
7) 3 × 38 =
8) 10 × 44 =
9) 5 × 61 =
10) 8 × 45 =
11) 7 × 79 =
12) 2 × 79 =
13) 4 × 93 =
14) 10 × 13 =
15) 3 × 79 =
Reading & Math for K-5 © www.k5learning.com
Distributive property of multiplication
Grade 5 Multiplication Worksheet
Example: 3 x 23 = 3 x (20 + 3) = (3 x 20) + (3 x 3) = 60 + 9 = 69
Rewrite the equations using the distributive property and find
the answer.
1) 7 × 18 = 7 x (10 + 8) = (7 x 10) + (7 x 8) = 70 + 56 = 126
2) 10 × 25 = 10 x (20 + 5) = (10 x 20) + (10 x 5) = 200 + 50 = 250
3) 4 × 43 = 4 x (40 + 3) = (4 x 40) + (4 x 3) = 160 + 12 = 172
4) 7 × 82 = 7 x (80 + 2) = (7 x 80) + (7 x 2) = 560 + 14 = 574
5) 9 × 27 = 9 x (20 + 7) = (9 x 20) + (9 x 7) = 180 + 63 = 243
6) 10 × 87 = 10 x (80 + 7) = (10 x 80) + (10 x 7) = 800 + 70 = 870
7) 3 × 38 = 3 x (30 + 8) = (3 x 30) + (3 x 8) = 90 + 24 = 114
8) 10 × 44 = 10 x (40 + 4) = (10 x 40) + (10 + 4) = 400 + 40 = 440
9) 5 × 61 = 5 x (60 + 1) = (5 x 60) + (5 x 1) = 300 + 5 = 305
10) 8 × 45 = 8 x (40 + 5) = (8 x 40) + (8 x 5) = 320 + 40 = 360
11) 7 × 79 = 7 x (70 + 9) = (7 x 70) + (7 x 9) = 490 + 63 = 553
12) 2 × 79 = 2 x (70 + 9) = (2 x 70) + (2 x 9) = 140 + 18 = 158
13) 4 × 93 = 4 x (90 + 3) = (4 x 90) + (4 x 3) = 360 + 12 = 372
14) 10 × 13 = 10 x (10 x 3) = (10 x 10) + (10 x 3) = 100 + 30 = 130
15) 3 × 79 = 3 x (70 + 9) = (3 x 70) + (3 x 9) = 210 + 27 = 237
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FAQs of Grade 5 Distributive Property Multiplication Worksheet

How does the distributive property work in multiplication?
The distributive property states that a(b + c) = ab + ac. This means that when multiplying a number by a sum, you can distribute the multiplication across each addend. For example, in the equation 3 × (4 + 5), you can calculate it as 3 × 4 + 3 × 5, which equals 12 + 15, resulting in 27. This property is useful for simplifying calculations and solving problems more efficiently.
What types of problems are included in the Grade 5 worksheet?
The Grade 5 Distributive Property Multiplication Worksheet includes a range of multiplication problems that require students to apply the distributive property. Problems are structured to help students practice breaking down larger numbers into simpler components, such as 7 × 18 being rewritten as 7 × (10 + 8). This approach not only aids in multiplication but also strengthens their understanding of number relationships.
Why is the distributive property important for fifth graders?
Understanding the distributive property is crucial for fifth graders as it lays the groundwork for more complex mathematical concepts. It helps students develop flexible thinking in mathematics, allowing them to approach problems from different angles. Mastery of this property enhances their ability to tackle algebraic expressions and prepares them for future topics in math, such as factoring and expanding expressions.
How can teachers use this worksheet in the classroom?
Teachers can use the Grade 5 Distributive Property Multiplication Worksheet as a supplementary resource during math lessons. It can be assigned as homework or used in class for group activities. By working through the problems together, teachers can facilitate discussions about different strategies for applying the distributive property, thus enhancing students' collaborative learning and problem-solving skills.

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