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Chapter 1: Problem 30

Which digit is in the hundreds column of the number 375,518,067?

Short Answer

Expert verified
The hundreds digit is 0.

Step by step solution

01

Identify Place Value Positions

In order to find the digit in the hundreds place, we need to understand the concept of place values in numbers. The place values from right to left are: units (ones), tens, hundreds, thousands, ten-thousands, hundred-thousands, and so on.
02

Look Closely at the Number

The given number is 375,518,067. We will focus from the right, count the first three digits to reach the hundreds place.
03

Count to Determine the Hundreds Place

Start from the rightmost digit and count three places to the left. The number is arranged as --- 067, so we have the units as 7, the tens as 6, and the hundreds as 0. Therefore, the hundreds place digit in 375,518,067 is 0.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding the Hundreds Place
When working on problems related to place value, identifying the hundreds place is crucial. Among all the digits in a number, each has a designated position that gives it a specific value. The hundreds place is the third position from the right in any whole number. For instance, in the number 375,518,067, we count three digits from the end.
  • The units (or ones) place is occupied by 7.
  • Next, the tens place is 6.
  • Finally, the hundreds place is 0.
This order is always consistent, providing a framework for understanding and working with larger numbers.
The Art of Digit Identification
Digit identification involves recognizing which digit corresponds to each position in a number. This is essential for solving any place value task, like the one in our example. Knowing the position of each digit allows you to determine its value within the whole number.
When identifying digits, always start from the rightmost digit:
  • First, the units (or ones) place.
  • Second is the tens place.
  • Then comes the hundreds place, and so on.
By carefully mapping out these positions, you can pinpoint exactly which digit holds the desired place value, leading to a better understanding of the overall number.
Getting Comfortable with Number Positions
Number positions tell us where each digit appears in a number and the numeric value it represents. By recognizing these positions, you can comprehend how place value affects the number itself.
In a number like 375,518,067, breaking it down by positions:
  • 0 is in the hundreds placement in the last segment of the number.
  • 6 is in the tens, and 7 is in the units (ones), forming part of the essential number structure.
This hierarchy from right to left is fundamental in math and helps in performing accurate calculations and number manipulations.

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