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🔄 Adding in Any Order

Discover that 3 + 8 and 8 + 3 give the same answer — and use that to always start from the bigger number and count on less.

lessons

~15 min

to learn

🔢 Math

subject

Ages 6–12

level

Start the course →

What you’ll learn

The Flip TrickUnderstand that addition can be done in any order (the commutative property), so 3 + 8 = 8 + 3.Adding numbers in a different order does not change the total. Picture the counters: swapping the groups keeps eleven as eleven. Every sum has a flipped twin that shares its answer, which is why 3 + 8 = 8 + 3.
Using the FlipUse the any-order rule to start from the bigger number and count on less.Because order does not matter, always put the bigger number first and count on the smaller one. For 3 + 8, flip to 8 + 3 and take only three hops. One simple rule makes adding faster and helps you check answers.

Questions this course answers

If 3 + 8 = 11, what does 8 + 3 equal?

Order does not change the total, so 8 + 3 = 11 too.

Which sum has the SAME answer as 4 + 7?

Flipping 4 + 7 gives 7 + 4, and both equal 11.

When adding two numbers, which should you say FIRST to count on less?

Starting with the bigger number means fewer hops to count.

Does 5 + 6 give the same answer as 6 + 5?

Addition works in any order, so both equal 11.

Grounded in trusted sources

Khan Academy Kids
PBS Kids — early math
National Council of Teachers of Mathematics (NCTM)

Every Wunder lesson is built from real, reputable sources — never invented.

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