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Write down the place value of 3 in the number 4329.

Mathematics

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Here are the solutions to your math problems:

  1. Write down the place value of 3 in the number 4329.
  1. Identify the position of the digit 3 in the number 4329.

    The digit 3 is in the hundreds place.
    
  2. Calculate the place value.

    $$
    3 \times 100 = 300
    $$
    The place value of 3 is $\boxed{\text{300}}$.
    

    2. Shade the region A - B. The region A - B represents all elements that are in set A but not in set B. In a Venn diagram, this is the part of circle A that does not overlap with circle B. You should shade the crescent-shaped portion of circle A that is outside the intersection of A and B.

    1. Work out the perimeter of a rectangular flower garden of length 8m and width 6m.
  3. Recall the formula for the perimeter of a rectangle.

    The perimeter $P$ of a rectangle with length $l$ and width $w$ is given by $P = 2(l + w)$.
    
  4. Substitute the given values into the formula.

    $$
    P = 2(8 \text{ m} + 6 \text{ m})
    $$
    
  5. Calculate the perimeter.

    $$
    P = 2(14 \text{ m})
    $$
    $$
    P = 28 \text{ m}
    $$
    The perimeter of the garden is $\boxed{\text{28 m}}$.
    

    4. Solve: 2y+3=112y + 3 = 11.

  6. Subtract 3 from both sides of the equation.

    $$
    2y + 3 - 3 = 11 - 3
    $$
    $$
    2y = 8
    $$
    
  7. Divide both sides by 2.

    $$
    \frac{2y}{2} = \frac{8}{2}
    $$
    $$
    y = 4
    $$
    The value of $y$ is $\boxed{4}$.
    

    5. Given that ball icon\text{ball icon} represents 8 balls, how many balls are represented below? ball icon ball icon ball icon ball icon\text{ball icon ball icon ball icon ball icon}

  8. Count the number of ball icons shown.

    There are 4 ball icons.
    
  9. Multiply the number of icons by the value each icon represents.

    $$
    \text{Total balls} = 4 \times 8
    $$
    $$
    \text{Total balls} = 32
    $$
    There are $\boxed{\text{32 balls}}$ represented.
    

    6. Work out: 12+13\frac{1}{2} + \frac{1}{3}.

  10. Find a common denominator for the fractions.

    The least common multiple of 2 and 3 is 6.
    
  11. Convert the fractions to equivalent fractions with the common denominator.

    $$
    \frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}
    $$
    $$
    \frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}
    $$
    
  12. Add the equivalent fractions.

    $$
    \frac{3}{6} + \frac{2}{6} = \frac{3+2}{6} = \frac{5}{6}
    $$
    The sum is $\boxed{\frac{5}{6}}$.
    

    7. Write down the next number in the sequence below. 20, 18, 16, 14, ___.

  13. Identify the pattern in the sequence.

    Each number is 2 less than the previous number ($20-2=18$, $18-2=16$, $16-2=14$).
    
  14. Apply the pattern to find the next number.

    $$
    14 - 2 = 12
    $$
    The next number in the sequence is $\boxed{12}$.
    

    8. In a class of 84 pupils, there are 47 girls. How many boys are in the class?

  15. Subtract the number of girls from the total number of pupils.

    $$
    \text{Number of boys} = \text{Total pupils} - \text{Number of girls}
    $$
    $$
    \text{Number of boys} = 84 - 47
    $$
    
  16. Calculate the result.

    $$
    \text{Number of boys} = 37
    $$
    There are $\boxed{\text{37 boys}}$ in the class.
    
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