Math Problem Statement

Our numeration system employs place value. What is your understanding of place value? (2) Write down the place value of the underlined digits: 54 982, 459 234 (3) Write down the total value of the underlined digits: 54 982, 459 234

Solution

Let's break down and answer each part of the image:

(1) What is your understanding of place value?

Place value refers to the value of a digit based on its position in a number. In our decimal system, each place represents a power of 10. From right to left, the positions are ones (10^0), tens (10^1), hundreds (10^2), thousands (10^3), and so on. For example, in the number 345, the place values of the digits 3, 4, and 5 are 300 (hundreds), 40 (tens), and 5 (ones), respectively.

(2) Write down the place value of the underlined digits:

  • 54 _9_82: The underlined digit is 9, and it is in the hundreds place (10^2), so the place value is hundreds.
  • 459 _2_34: The underlined digit is 2, and it is in the thousands place (10^3), so the place value is thousands.

(3) Write down the total value of the underlined digits:

  • 54 _9_82: The digit 9 is in the hundreds place, so its value is 900.
  • 459 _2_34: The digit 2 is in the thousands place, so its value is 2,000.

Would you like more details or clarifications on these answers?

Here are 5 questions to further expand on this topic:

  1. How does the place value change when moving one place to the left in a number?
  2. How is the value of a digit affected by its place value?
  3. Can you explain how place value applies in decimal numbers (e.g., 3.456)?
  4. What happens to place values when multiplying or dividing a number by 10?
  5. How is place value used in large numbers like millions or billions?

Tip: Always start reading the place value from the rightmost digit, as this helps identify the ones, tens, and higher places step by step.

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Math Problem Analysis

Mathematical Concepts

Place Value
Numeration System

Formulas

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Theorems

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Suitable Grade Level

Grades 3-5