Place value refers to the value of a digit based on its position within a number. For example, in the number 345, the 3 represents hundreds, the 4 represents tens, and the 5 represents ones. Each place in a number is ten times larger than the place to its right. This understanding helps us recognize that digits hold different values depending on where they are located in the number.
When a digit in a number is highlighted in bold, the task is to find the place value of that digit. Let’s break this down with an example to see how it works.
Number: 5, 426 (The bold digit is 4)
Step 1: Identify the Place of the Bold Digit Look at the position of the bold digit (4) in the number. In this case, the 4 is in the hundreds place.
Step 2: Determine the Value of the Bold Digit The place value of the digit 4 in the hundreds place is 400. This is because the digit 4 represents four groups of one hundred.
Step 3: Relate to the Standard According to 4.NBT.A.1, each place in a multi-digit number is ten times the value of the place to its right. In our example, the 4 is in the hundreds place, and the place to its right is the tens place. So, 400 is ten times the value of the digit in the tens place.
Place value is more than just recognizing a digit’s position—it helps students understand how numbers work in a larger context. By mastering place value, students will be better prepared for tasks like rounding, comparing numbers, and performing multi-digit arithmetic.
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