Multiplication Properties - Worksheet 9 - 4th Grade

Hard

Apply properties of multiplication to simplify calculations (Hard)

23 problems · 15-20 minutes · Skills: multiplication, properties

About This Worksheet

This hard-level worksheet contains 23 problems designed for 4th Grade students practicing multiplication properties. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Understanding multiplication properties builds mathematical flexibility. Students who know that 7 × 8 = 8 × 7 and that 6 × 14 = 6 × 10 + 6 × 4 can solve problems mentally, reduce errors, and lay the groundwork for algebra.

  • Apply the commutative, associative, and distributive properties of multiplication
  • Use properties to simplify and reorganize calculations
  • Recognize how properties connect multiplication to addition
  • Rewrite a product using the distributive property to compute it mentally
  • Identify which property justifies a given step in a multiplication calculation

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
1 + 13 =
2
6 + 2 =
3
19 + 5 =
4
18 + 7 =
5
20 + 9 =
6
20 + 1 =
7
13 + 13 =
8
13 + 9 =
9
18 + 12 =
10
16 + 1 =
11
4 + 1 =
12
8 + 4 =
13
5 + 12 =
14
2 + 13 =
15
8 + 16 =
16
1 + 15 =
17
20 + 16 =
18
11 + 20 =
19
9 + 10 =
20
14 + 9 =
21
7 + 12 =
22
3 + 16 =
23
8 + 8 =

Answer Key

1. 142. 83. 244. 255. 296. 217. 268. 229. 3010. 1711. 512. 1213. 1714. 1515. 2416. 1617. 3618. 3119. 1920. 2321. 1922. 1923. 16

Frequently Asked Questions

How do I download this multiplication properties - worksheet 9 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this multiplication worksheet cover?

This worksheet focuses on multiplication, properties. It is designed for 4th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 23 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.