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Write down the place value of 3 in the number 4329.
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- Write down the place value of 3 in the number 4329.
Identify the position of the digit 3 in the number 4329.
The digit 3 is in the hundreds place.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.
- Work out the perimeter of a rectangular flower garden of length 8m and width 6m.
Recall the formula for the perimeter of a rectangle.
The perimeter $P$ of a rectangle with length $l$ and width $w$ is given by $P = 2(l + w)$.Substitute the given values into the formula.
$$ P = 2(8 \text{ m} + 6 \text{ m}) $$Calculate the perimeter.
$$ P = 2(14 \text{ m}) $$ $$ P = 28 \text{ m} $$ The perimeter of the garden is $\boxed{\text{28 m}}$.4. Solve: .
Subtract 3 from both sides of the equation.
$$ 2y + 3 - 3 = 11 - 3 $$ $$ 2y = 8 $$Divide both sides by 2.
$$ \frac{2y}{2} = \frac{8}{2} $$ $$ y = 4 $$ The value of $y$ is $\boxed{4}$.5. Given that represents 8 balls, how many balls are represented below?
Count the number of ball icons shown.
There are 4 ball icons.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: .
Find a common denominator for the fractions.
The least common multiple of 2 and 3 is 6.Convert the fractions to equivalent fractions with the common denominator.
$$ \frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6} $$ $$ \frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6} $$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, ___.
Identify the pattern in the sequence.
Each number is 2 less than the previous number ($20-2=18$, $18-2=16$, $16-2=14$).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?
Subtract the number of girls from the total number of pupils.
$$ \text{Number of boys} = \text{Total pupils} - \text{Number of girls} $$ $$ \text{Number of boys} = 84 - 47 $$Calculate the result.
$$ \text{Number of boys} = 37 $$ There are $\boxed{\text{37 boys}}$ in the class.
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