Math Problem Statement

Mathematical problems involving fractions, number lines, and decimal conversions from the image.

Solution

Let's go over the problems visible in the image you uploaded and help with the solutions step by step:

  1. Problem 3: Write numbers as fractions with denominator 2.

    • a) 5=1025 = \frac{10}{2}
    • b) 12=24212 = \frac{24}{2}
    • c) 4=82-4 = \frac{-8}{2}
    • d) 1001=20022-1001 = \frac{-2002}{2}
    • e) 1224=12\frac{12}{24} = \frac{1}{2} (Simplified)
    • f) 50100=12\frac{50}{100} = \frac{1}{2} (Simplified)
  2. 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 3-3
    • Opposite of 2-2 is 22
    • Opposite of 1.51.5 is 1.5-1.5
    • Opposite of 3.5-3.5 is 3.53.5
  3. Problem 5: Write the coordinates of the points marked on the number line.

    • Point J: 0.10.1
    • Point K: 0.40.4
    • Point L: 11
    • Point M: 1.61.6
    • Point N: 22
  4. Problem 6: Convert fractions into decimal numbers:

    • a) 12=0.5\frac{1}{2} = 0.5
    • b) 85=1.6\frac{8}{5} = 1.6
    • c) 720=0.35\frac{7}{20} = 0.35
    • d) 1250=0.24\frac{-12}{50} = -0.24
    • e) 816=0.5\frac{8}{16} = 0.5
  5. Problem 7: Convert mixed numbers into decimal numbers:

    • a) 512=5.55 \frac{1}{2} = 5.5
    • b) 335=3.63 \frac{3}{5} = 3.6
    • c) 334=3.753 \frac{3}{4} = 3.75
    • d) 15625=15.24-15 \frac{6}{25} = -15.24

Would you like more details or have any specific questions on these problems?

Five follow-up questions:

  1. Can you simplify 1224\frac{12}{24} in another way besides dividing by 12?
  2. How would you graphically represent a mixed number like 5125 \frac{1}{2} on a number line?
  3. What are some ways to verify that 720=0.35\frac{7}{20} = 0.35?
  4. How can you convert negative mixed numbers, such as 15625-15 \frac{6}{25}, back to fractions?
  5. What method do you use to find the opposite of a decimal number like 3.5-3.5?

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