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Chapter 2: Problem 49

In the number \(892,341.7,\) which digit is in the tens place?

Short Answer

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Step by step solution

01

Identify the Place Values

First, identify the place values in the given number. The number is written as: \(892,341.7\).From left to right, the place values are: hundreds of thousands, ten thousands, thousands, hundreds, tens, units (or ones), tenths (after the decimal point).
02

Locate the Tens Place

To locate the tens place, count two positions to the left starting from the decimal point moving through the units, then tens. So, in the number \(892,341.7\), locate the digit in the second position from the right before the decimal point.
03

Identify the Digit

The digits in the number are \(8, 9, 2, 3, 4, 1.7\). The digit in the tens place is the second digit from the right before the decimal point. That digit is \(4\).

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Key Concepts

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

tens place
In any number, the tens place refers to the digit that is located two positions to the left of the decimal point. Understanding place value means knowing where each digit in a number falls and its respective worth. When you see the number 892,341.7, the tens place is the second position from the right, before you reach the decimal point.
To illustrate:
  • Start from the decimal point and move left two places.
  • In 892,341.7, the digits before the decimal are 1, 4, 3, 2, 9, and 8.
  • The digit in the tens place is 4.
This resolved the question provided in the exercise.
decimal numbers
Decimal numbers consist of whole numbers and fractions. They are separated by a decimal point. In the number 892,341.7, the part before the decimal point, 892,341, is the whole number, and the part after the decimal point, .7, represents the fractional part.
Decoding decimal numbers can be broken down into:
  • Whole number part: Each digit from right to left indicates units (or ones), tens, hundreds, thousands, etc.
  • Fractional part: Each digit from left to right after the decimal represents tenths, hundredths, thousandths, etc.
Understanding this separation helps identify place values for any digit in the number easily.
digit identification
Digit identification is the process of recognizing and understanding the value of each digit within a number. Each digit has a position that determines its value.
For example, in the number 892,341.7:
  • The digit 8 is in the hundred thousand place.
  • The digit 9 is in the ten thousand place.
  • The digit 2 is in the thousand place.
  • The digit 3 is in the hundred place.
  • The digit 4 is in the tens place.
  • The digit 1 is in the units (or ones) place.
Each digit plays a significant role in giving the complete value of the number. Proper digit identification is crucial for understanding and solving math problems correctly.

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