lesson

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Imagine opening a giant delivery crate packed with 354 toy bouncy balls. Inside, you see 3 big cartons of 100, 5 rolls of 10, and 4 loose balls rolling around on the floor.
When you stretch a number out to show the exact value of each digit, you are writing it in expanded form.
πInteractive diagram
Every three-digit number has three spots: hundreds, tens, and ones. The digit tells you how many groups you have, and its position tells you how much they are worth.
How do you stretch out a number like 682 without missing anything? Let's break it down step by step.
Stretching 682 Step by Step
Start with the first digit on the left: the 6 is in the hundreds place, so 6 hundreds equals 600.
Next, look at the middle digit: the 8 is in the tens place, so 8 tens equals 80. Finally, the 2 is in the ones place, which is just 2.
πInteractive diagram
Put them together with plus signs to make the expanded sentence: 600+80+2=682
What happens when one of those place values has nothing inside it at all?
The Secret of the Zero
Take the number 507. The 0 in the middle means there are zero tens.