What are sums of powers of ten?

Sums of powers of ten are like adding up groups of tens, hundreds, thousands, and even bigger numbers, all based on how many times you multiply by 10.

Powers of ten are just numbers that come from multiplying 10 by itself a certain number of times. For example:

• 10^1 is 10
• 10^2 is 100
• 10^3 is 1,000

So when you add them together, it's like counting up in chunks, like stacking blocks or counting coins!

Imagine you have a piggy bank. If you put in 10 coins, that’s one group of 10^1. If you add another 100 coins, now you're using 10^2. If you keep going and add 1,000, you’re adding 10^3.

So a sum like 10 + 100 + 1,000 is the same as 10^1 + 10^2 + 10^3, which equals 1,110.

You can think of it like stacking blocks, each block level represents a different power of ten. It’s just counting in bigger and bigger steps!