Explain how your knowledge of place value helps you divide a number in the thousands by whole numbers to 10. Give an example to support your explanation.
Mathematics · Middle School · Tue Nov 03 2020
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Understanding place value is crucial when dividing numbers, especially when dealing with numbers in the thousands. Place value refers to the value of each digit in a number based on its position. In a multi-digit number, each place represents a power of 10.
Let's consider an example:
8,76010
10
8,760
Here, 8,760 is a number in the thousands. To divide this number by 10, you can think about the place value of each digit. The digits in 8,760 are in the thousands, hundreds, tens, and ones places.
.The digit 8 is in the thousands place, representing 8×1000
.8×1000.
.The digit 7 is in the hundreds place, representing 7×100
.7×100.
.The digit 6 is in the tens place, representing 6×10
.6×10.
.The digit 0 is in the ones place, representing 0×1
.0×1.
When you divide each of these place values by 10, you get:
8,00010+70010+6010+010
10
8,000
+10
700
+10
60
+10
0
Simplifying each fraction:
800+70+6+0
800+70+6+0
Combine these values:
876
876
So, 8,76010=876
10
8,760
=876.
In general, when you divide a number in the thousands by 10, you shift each digit one place to the right. This is because dividing by 10 is equivalent to moving each digit one place to the right in the place value chart.