Math Problem Statement

Paolo jogged the perimeter of the park in 5.32 minutes. Which shows a way to represent the value of the 2 in this number?

Solution

The problem states:

"Paolo jogged the perimeter of the park in 5.32 minutes. Which shows a way to represent the value of the 2 in this number?"

The options provided are:

  • A: 0.020.02
  • B: 2×1102 \times \frac{1}{10}
  • C: 2×(100)2 \times (100)
  • D: 2×11002 \times \frac{1}{100}

The question is asking for the value of the digit 2 in the decimal number 5.32. In 5.32, the digit 2 is in the hundredths place, which means its value is 2×11002 \times \frac{1}{100}.

Therefore, the correct answer is D: 2×11002 \times \frac{1}{100}.

Would you like further explanation or have any additional questions?

Here are five questions to expand on this:

  1. What does the place value system represent in decimal numbers?
  2. How can you convert decimal fractions like 5.32 into fractions?
  3. What is the value of the digit 5 in 5.32?
  4. Why is it important to understand place value in decimals?
  5. How can place value be used in scientific notation?

Tip: In decimals, each digit after the decimal point is a fraction with a denominator that is a power of 10, starting with tenths, hundredths, etc.

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Math Problem Analysis

Mathematical Concepts

Place Value
Decimals

Formulas

Value of digit = Digit × Place value

Theorems

Place Value Theorem

Suitable Grade Level

Grades 4-6