Math Problem Statement

Write twenty-four and three-eights in decimal form, then in expanded form.

Solution

To express "twenty-four and three-eighths" in different forms:

Decimal Form:

  • The fractional part, three-eighths, can be written as 38\frac{3}{8}. Converting this to decimal: 38=0.375\frac{3}{8} = 0.375
  • So, "twenty-four and three-eighths" is: 24+0.375=24.37524 + 0.375 = 24.375

Expanded Form:

  • In expanded form, we break it down as follows: 24.375=20+4+0.3+0.07+0.00524.375 = 20 + 4 + 0.3 + 0.07 + 0.005 This represents the sum of each digit based on its place value.

Would you like more details or further clarification on any step?

Here are 5 related questions to explore further:

  1. How do you convert a fraction like 58\frac{5}{8} into decimal form?
  2. What is the decimal equivalent of 716\frac{7}{16}?
  3. How do you express 45.68 in expanded form?
  4. How do you convert repeating decimals to fractions?
  5. What is the expanded form of 57.423?

Tip: When converting fractions to decimals, divide the numerator by the denominator using long division or a calculator.

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Math Problem Analysis

Mathematical Concepts

Decimals
Fractions
Expanded Form

Formulas

Fraction to Decimal Conversion: numerator / denominator
Expanded Form: break down based on place value

Theorems

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Suitable Grade Level

Grades 5-6