The properties of operations are patterns you already use — you can add or multiply in any order and get the same answer, and adding 0 or multiplying by 1 changes nothing. So this lesson runs on quick addition and multiplication facts. Warm those up first.
Answer these 3, then press Show my path. No grade — this just points you to the right level.
1. Does 3 + 5 equal 5 + 3?
2. Does 2 × 4 equal 4 × 2?
3. What is 7 + 0?
You can swap the order when you add or multiply and the answer stays the same. Adding 0 keeps a number the same, and multiplying by 1 keeps it the same too.
Your quick check picks one for you, but you can switch any time:
Level 0 See the matching totals, one step at a time.
A. 3 + 5 = ___
3 + 5 = 8.
B. 5 + 3 = ___ (same numbers, swapped)
Order doesn't matter: still 8.
C. 6 + 0 = ___
Adding 0 keeps it the same: 6.
Level 1 Use the swap pattern for multiplication too.
A. 2 × 4 = ___
2 × 4 = 8.
B. 4 × 2 = ___ (same numbers, swapped)
Order doesn't matter: still 8.
C. 7 × 1 = ___
Multiplying by 1 keeps it the same: 7.
Level 2 Warm up straight into the properties.
A. Which equals 6 × 3?
You can swap the order of a product: 3 × 6 = 6 × 3 = 18.
B. 9 × 1 = ___
Multiplying by 1 keeps it the same: 9.
1. Which equals 5 + 2?
You can swap the order of a sum: 2 + 5 = 5 + 2 = 7.
2. 8 + 0 = ___
Adding 0 keeps it the same: 8.
You've practiced exactly what Lesson 6-4 uses. Time to dive in.
Start Lesson 6-4 →