Math Problem Statement

UNIT 2 QUIZ 2-1.pdf

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Solution

The quiz in this PDF focuses on rounding, estimation, integers, ordering integers, and comparisons.

Here's a solution guide for each question:

  1. Rounding and Estimation

    • 1a. Circle the place value for rounding each number:
      • i) 34,509 and 34,243 → likely round to the nearest hundred or thousand.
      • ii) 183,456 and 40,389 → likely round to the nearest thousand or ten thousand.
      • Bonus) 875,234,239 and 672,092,456 → likely round to the nearest million.
    • 1b. Estimate the answers using the chosen place values.
  2. Estimate Addition

    • Add 567,409 and 375,968 by rounding first (e.g., to nearest hundred thousand, yielding 570,000 + 380,000).
  3. Identify and Order Integers

    • 3a. Circle integers on the number line: 4, -6, -1, 1.
    • 3b. Order them from least to greatest.
  4. Representation of Sea Level

    • Write an integer for 149 m below sea level (answer: -149).
  5. Opposite of an Integer

    • The opposite of -16 is 16.
  6. Comparison of Integers

    • Write > or < for each:
      • a) 823 > -7642
      • b) -19 < -17
    • Bonus: Determine which is warmer: -2°C or -5°C.

Would you like detailed explanations for these steps?


Follow-Up Questions

  1. How do you determine the place value for rounding in estimation problems?
  2. What is the difference between exact and estimated answers?
  3. How can we use a number line to understand ordering of negative integers?
  4. Why is the opposite of a negative integer positive?
  5. How do temperature comparisons work with negative numbers?

Tip

When comparing negative numbers, remember that the closer a number is to zero, the larger its value.

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Math Problem Analysis

Mathematical Concepts

Rounding
Estimation
Integer Identification
Integer Ordering
Integer Comparison

Formulas

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Theorems

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Suitable Grade Level

Grade 6