A Thousand from Eight Eights

Difficulty ★★☆about 5 minEveryday MysteryNumbersEquations

Using exactly eight 8s and only addition, make 1000.

Case Record

Use exactly eight 8s and only addition to make 1000. (You may join 8s into numbers like 88 and 888.)

Your question

Which is the correct expression?

If you get stuck, open the hints one at a time, in order.

Open hint 1

If you use 888, how much more do you need?

Open hint 2

What is 1000 − 888?

Open hint 3

Make the remaining 112 using five 8s.

Your question

Which is the correct expression?

Choose the answer closest to the truth.

888 + 88 + 8 + 8 + 8

The answer is "888 + 88 + 8 + 8 + 8."

888 (three 8s) + 88 (two) + 8 + 8 + 8 (three) uses eight 8s and totals 1000.

Every expression uses eight 8s, but 888 + 88 + 88 + 8 is 1072, 888 + 888 + 88 is 1864, and 888 + 888 + 8 + 8 is 1792.

Diagram of the solution

Because you do not think of lining up 8s to form numbers.

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