Math Problem Statement
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 , 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: , and . Therefore,
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: . 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,
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 . Therefore,
If you would like any more details or explanations, feel free to ask!
Additional questions:
- How do you convert kilometers to meters and meters to centimeters?
- Why is 0 not considered a positive integer?
- How is the Greatest Common Factor (GCF) related to coprime numbers?
- Can a whole number be a negative number? Explain.
- 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
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