Math Problem Statement
Solution
Let's go over the problems visible in the image you uploaded and help with the solutions step by step:
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Problem 3: Write numbers as fractions with denominator 2.
- a)
- b)
- c)
- d)
- e) (Simplified)
- f) (Simplified)
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Problem 4: Draw a number line and mark the points for 3, -2, 1.5, and -3.5. Also, write the opposite values for these numbers:
- Opposite of 3 is
- Opposite of is
- Opposite of is
- Opposite of is
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Problem 5: Write the coordinates of the points marked on the number line.
- Point J:
- Point K:
- Point L:
- Point M:
- Point N:
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Problem 6: Convert fractions into decimal numbers:
- a)
- b)
- c)
- d)
- e)
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Problem 7: Convert mixed numbers into decimal numbers:
- a)
- b)
- c)
- d)
Would you like more details or have any specific questions on these problems?
Five follow-up questions:
- Can you simplify in another way besides dividing by 12?
- How would you graphically represent a mixed number like on a number line?
- What are some ways to verify that ?
- How can you convert negative mixed numbers, such as , back to fractions?
- What method do you use to find the opposite of a decimal number like ?
Tip:
When converting fractions to decimals, always simplify the fraction first to make division easier.
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Math Problem Analysis
Mathematical Concepts
Fractions
Number lines
Decimal conversions
Mixed numbers
Negative numbers
Formulas
Fraction to decimal conversion: numerator ÷ denominator
Mixed number to improper fraction: (whole number * denominator + numerator) ÷ denominator
Decimal conversions from fractions
Theorems
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Suitable Grade Level
Grades 5-7