Math Problem Statement

The original question submitted by the user as text.

Solution

Let's go through the questions visible in the image and provide the correct answers with explanations:

1. What is a unit fraction?

The question asks about a unit fraction.

  • Correct Answer: B (A fraction that has a numerator of 1)

Explanation: A unit fraction is a fraction where the numerator is 1, such as 12,13,14\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, etc.

2. A meter stick is cut into smaller pieces. How many equal pieces are in the meter stick?

The question asks for the number of pieces.

  • Correct Answer: B (4)

Explanation: If a meter stick (which is 100 cm) is divided into smaller pieces, and we assume each piece is 25 cm, then 100 cm / 25 cm = 4 pieces.

3. There are ____ cm in 2.54 km.

The question asks to convert kilometers to centimeters.

  • Correct Answer: D (254000)

Explanation: 1 km=1000 m1 \text{ km} = 1000 \text{ m}, and 1 m=100 cm1 \text{ m} = 100 \text{ cm}. Therefore, 2.54 km=2.54×1000×100=254000 cm.2.54 \text{ km} = 2.54 \times 1000 \times 100 = 254000 \text{ cm}.

4. All of the statements below are true except:

The question asks which statement is false.

  • Correct Answer: D (All whole numbers are positive integers)

Explanation: Whole numbers include 0, and 0 is not a positive integer. Therefore, the statement "All whole numbers are positive integers" is false.

5. How many forty thousand are there in one million?

  • Correct Answer: C (25)

Explanation: 1,000,000÷40,000=251,000,000 \div 40,000 = 25. So, there are 25 forty-thousands in one million.

6. Carlo cycled for 8 miles. What is the equivalent of this distance in kilometers?

The question asks to convert 8 miles to kilometers.

  • Correct Answer: C (12.9 km)

Explanation: The conversion factor from miles to kilometers is approximately 1 mile = 1.609 km. Thus, 8 miles×1.609 km/mile=12.872 km12.9 km.8 \text{ miles} \times 1.609 \text{ km/mile} = 12.872 \text{ km} \approx 12.9 \text{ km}.

7. A swimmer weighs 122 lbs. What is his weight in kg?

The question asks to convert pounds to kilograms.

  • Correct Answer: A (55.3 kg)

Explanation: The conversion factor from pounds to kilograms is 1 lb0.4536 kg1 \text{ lb} \approx 0.4536 \text{ kg}. Therefore, 122 lbs×0.4536=55.3392 kg55.3 kg.122 \text{ lbs} \times 0.4536 = 55.3392 \text{ kg} \approx 55.3 \text{ kg}.

If you would like any more details or explanations, feel free to ask!

Additional questions:

  1. How do you convert kilometers to meters and meters to centimeters?
  2. Why is 0 not considered a positive integer?
  3. How is the Greatest Common Factor (GCF) related to coprime numbers?
  4. Can a whole number be a negative number? Explain.
  5. How can you use fractions in real-world scenarios like dividing objects?

Tip: When converting units, always check the conversion factor and multiply carefully to ensure the correct units in your answer.

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Math Problem Analysis

Mathematical Concepts

Fractions
Unit Conversion
Coprime Numbers
Number Theory
Basic Arithmetic

Formulas

1 km = 1000 meters, 1 meter = 100 centimeters
1 mile = 1.609 kilometers
1 pound = 0.4536 kilograms

Theorems

Greatest Common Factor (GCF)
Perfect Numbers
Complex Numbers

Suitable Grade Level

Grades 6-8