Subtract a multiple of 100 from a 3-digit number using expanded form (within 1,000)
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Welcome! Today we'll learn how to subtract multiples of 100 from 3-digit numbers using expanded form. Let's start with the problem: 456 minus 200. We can visualize 456 using blocks - 4 hundreds blocks, 5 tens blocks, and 6 ones blocks.
Now let's write both numbers in expanded form. 456 equals 400 plus 50 plus 6. And 200 equals 200 plus 0 plus 0. This helps us see the place values clearly - hundreds, tens, and ones.
Now we subtract each place value separately. In the hundreds place: 400 minus 200 equals 200. In the tens place: 50 minus 0 equals 50. In the ones place: 6 minus 0 equals 6. So our results are 200, 50, and 6.
Now we combine our results. We add 200 plus 50 plus 6, which equals 256. So 456 minus 200 equals 256. We have successfully solved the problem using expanded form!
Let's review what we learned. To subtract multiples of 100 using expanded form, follow three steps: First, write both numbers in expanded form. Second, subtract each place value separately. Third, combine the results to get your final answer. This method helps you understand place value and makes subtraction easier. Great job learning the expanded form method!