Place Value - Tens and Ones Review & Introduction to Hundreds
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Welcome to our lesson on place value! In our number system, each digit's position gives it a different value. Let's look at the number 47. The rightmost position is the ones place, which has 7. The position to its left is the tens place, which has 4. This means we have 4 tens, which equals 40, plus 7 ones, which equals 7. So 47 is made up of 40 plus 7.
Let's break down the number 47 into tens and ones. We can write 47 as 40 plus 7. The 40 comes from having 4 tens, and the 7 comes from having 7 ones. Each ten contains 10 individual units, so 4 tens equals 40. When we add 40 and 7 together, we get 47. This is how we can decompose any two-digit number into its tens and ones values.
Now let's introduce the hundreds place. The position to the left of the tens place is the hundreds place. One hundred equals 10 tens or 100 ones. We can think of a hundred as a large square, which can be broken down into 10 rows of 10, making 10 tens. Each of those tens can be further broken down into 10 ones, giving us 100 ones total. This is how our place value system works - each position represents a value that's 10 times greater than the position to its right.
Now let's look at a three-digit number: 347. We can break it down into its place values. The digit 3 is in the hundreds place, so it represents 3 hundreds or 300. The digit 4 is in the tens place, so it represents 4 tens or 40. And the digit 7 is in the ones place, so it represents 7 ones. When we add these values together: 300 plus 40 plus 7, we get 347. This is how we can understand any three-digit number as a sum of hundreds, tens, and ones.
Let's summarize what we've learned about place value. Place value tells us the value of each digit based on its position in a number. The rightmost position is the ones place, representing individual units. Moving left, we have the tens place, where each digit represents groups of ten, and the hundreds place, where each digit represents groups of one hundred. Each place is worth 10 times more than the place to its right. Using this system, we can break down any number into hundreds, tens, and ones, which helps us understand the true value of each digit.