Math Problem Statement

Dylan says there are 3 correct ways to express the equivalent of 4.903 listed below. Check Yes or No for each one to say whether you agree.

Solution

Let's analyze each statement in the image to see if it correctly expresses the value 4.903:

a. four and nine hundred three thousandths
This is a correct way to express 4.903. "Four" refers to 4, and "nine hundred three thousandths" means 903/1000, which is 0.903.
Answer: Yes

b. 0.9 + 0.003 + 4
This simplifies to 4 + 0.9 + 0.003 = 4.903, which is correct.
Answer: Yes

c. 4.9 + 0.03
This simplifies to 4.9 + 0.03 = 4.93, which is not equal to 4.903.
Answer: No

d. 4 × 1 + 9 × 1/10 + 3 × 1/1000
This expression simplifies to 4 + 0.9 + 0.003 = 4.903, which is correct.
Answer: Yes

e. 4 + 9/100 + 3/1000
This simplifies to 4 + 0.09 + 0.003 = 4.093, which is not equal to 4.903.
Answer: No

Would you like any further details on the reasoning? Here are some related questions to think about:

  1. What is the decimal representation of 9/1000?
  2. How do you convert a fraction to a decimal?
  3. Can you break down why 4.9 + 0.03 results in 4.93?
  4. How would you represent the number 4.093 in words?
  5. Why is it important to verify the order of magnitude in decimal expansions?

Tip: When adding decimals, make sure to align them properly according to their place values to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Decimals
Addition
Place Value

Formulas

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Theorems

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Suitable Grade Level

Grades 5-6