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Chapter 1: Problem 35

Which digit is in the tens column of the number 2,461,717,362?

Short Answer

Expert verified
The digit in the tens column is 6.

Step by step solution

01

Understand the Place Value System

The place value system is used to determine the position of a digit in a number. Each place has a value of ten times the place to its right. For example, the number 134 has the digits 1, 3, and 4 in the hundreds, tens, and ones place, respectively.
02

Identify the Tens Place

For the number 2,461,717,362, the tens place is the second position from the right. It's important to remember to count from right to left when identifying the place value of a digit.
03

Locate the Digit

Starting from the rightmost digit, count two places over to the left. The rightmost digit is in the ones place, and the next digit to its left is in the tens place. In 2,461,717,362, the tens place digit is 6.

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Key Concepts

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

Digit Identification
Identifying a digit in a number is a fundamental skill in understanding both arithmetic and advanced mathematical concepts. It requires recognizing the position of a digit in relation to its place value.
When asked to find a specific digit, such as in our exercise, you first need to understand which place value you are dealing with. If you're looking for a digit in the tens place, locate its position from the right.
By counting the places from right to left, you can effectively identify any digit's place in a number. For example, in the number 2,461,717,362, start counting digits from the right, moving towards the left, to find which digit occupies the chosen place position.
Number System
The number system is an organized set of symbols and rules used for counting and calculations.
In the decimal system, which is the most commonly used number system, each digit is worth ten times the value of the digit to its right. This is why we refer to it as a base-10 system.
  • Each position in a number represents a different power of 10.
  • The rightmost digit is in the ones position, equivalent to 10鈦� (which is 1).
  • The next position to the left is the tens position, equivalent to 10鹿.
Understanding these powers helps us grasp why a digit's place in a number affects its value greatly.
Value Position
The position of a digit within a number determines its value. This concept is known as place value.
As you move from right to left, each position represents a higher power of ten. It is an essential principle for both simple arithmetic and complex computations.
Take the number 2,461,717,362: the digit '6' is in the tens position, making it equivalent to 60, as it is 6 times the base-10 value of the tens place.
Place value underscores how a simple swap in digits can drastically alter the entire value of a number, emphasizing the importance of paying careful attention to the position of each digit in a number.

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