Math Problem Statement

Problem What could be the value of the point graphed on the number line? A number line from 0 to 0.1, labeled in steps of 0.01. A point between 0.03 and 0.04 is nearer to 0.04. [0.00] [0.01] [0.02] [0.03] [0.04] [0.05] [0.06] [0.07] [0.08] [0.09] [0.10] Choose 1 answer: Choose 1 answer: (Choice A)
[0.072] A [0.072] (Choice B)
[0.037] B [0.037] (Choice C)
[0.462] C [0.462]

Solution

The point graphed on the number line is between 0.030.03 and 0.040.04, and it is closer to 0.040.04. Let's evaluate the choices:

  • Choice A: 0.0720.072 – This value is much larger than the range we are looking at (which is between 0.030.03 and 0.040.04), so it cannot be correct.
  • Choice B: 0.0370.037 – This value falls between 0.030.03 and 0.040.04 and is closer to 0.040.04, matching the description perfectly.
  • Choice C: 0.4620.462 – This value is significantly larger than 0.10.1 and does not fit the number line provided.

The correct answer is Choice B: 0.0370.037.

Would you like more details on number lines or further clarification?

Here are five related questions:

  1. What is the significance of decimal placement on a number line?
  2. How do you determine which decimal is closer to another on a number line?
  3. What methods can you use to compare two decimals efficiently?
  4. Why is it important to understand number line intervals in real-world situations?
  5. How can number lines help in understanding fractions and decimals?

Tip: When comparing decimals, look at each digit's place value to determine which is larger or smaller.

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Math Problem Analysis

Mathematical Concepts

Number Line
Decimals
Decimal Comparison

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6