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Convert Between Place Values: Hundreds and Tens
Numbers are made up of digits, and each digit has a special place or position that gives it its value. This is called “place value.” Understanding place value helps us see how numbers are grouped and how they can be broken down into smaller parts, like hundreds and tens.
What Are Place Values?
Place values tell us the value of a digit based on its position in a number. For example, in the number 345:
- The “3” is in the hundreds place, which means 3 hundreds or 300.
- The “4” is in the tens place, which means 4 tens or 40.
- The “5” is in the ones place, which means 5 ones or just 5.
How to Convert Hundreds into Tens
When we look at numbers, we can also convert between place values. For example, we can convert hundreds into tens by thinking of hundreds as groups of tens.
Let’s look at 200:
- 1 hundred = 10 tens
- So, 2 hundreds = 20 tens (200 = 20 tens).
How to Convert Tens into Hundreds
Now, what if we wanted to convert tens into hundreds? It’s the reverse process. We group tens together to form hundreds.
For example, 30 tens can be written as:
- 30 tens = 3 hundreds (30 × 10 = 300).
Why This Is Important
Understanding how to convert between place values, like hundreds and tens, helps you see the building blocks of numbers. It’s a great way to understand how large numbers are put together and how smaller numbers combine to form bigger ones.
Practice Example:
- Convert 300 into tens:
300 = 30 tens. - Convert 50 tens into hundreds:
50 tens = 5 hundreds.
By practicing conversions between place values, you’ll get better at seeing how numbers work. Keep practicing, and soon you’ll be able to break down and build up numbers with ease!
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