Convert the following fractions to decimals and round the given decimals to the nearest tenth.

Question

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Question 1 (5 marks)

a)

Divide the numerator by the denominator.
$\frac{3}{10} = 0.3$
The decimal is $\boxed{\text{0.3}}$ .

b)
Divide the numerator by the denominator.
$\frac{47}{100} = 0.47$
The decimal is $\boxed{\text{0.47}}$ .

c)
Divide the numerator by the denominator.
$\frac{125}{1000} = 0.125$
The decimal is $\boxed{\text{0.125}}$ .

d)
Convert the fraction to an equivalent fraction with a denominator of 100.
$\frac{7}{20} = \frac{7 \times 5}{20 \times 5} = \frac{35}{100}$
Write the equivalent fraction as a decimal.
$\frac{35}{100} = 0.35$
The decimal is $\boxed{\text{0.35}}$ .

e)
Convert the fraction to an equivalent fraction with a denominator of 100.
$\frac{9}{25} = \frac{9 \times 4}{25 \times 4} = \frac{36}{100}$
Write the equivalent fraction as a decimal.
$\frac{36}{100} = 0.36$
The decimal is $\boxed{\text{0.36}}$ .

Question 2 (3 marks)

a)
Identify the tenths digit (3) and the digit to its right (6).
Since 6 is 5 or greater, round up the tenths digit.
$4.36 \approx 4.4$
Rounded to the nearest tenth, it is $\boxed{\text{4.4}}$ .

b)
Identify the tenths digit (8) and the digit to its right (2).
Since 2 is less than 5, keep the tenths digit as it is.
$7.82 \approx 7.8$
Rounded to the nearest tenth, it is $\boxed{\text{7.8}}$ .

c)
Identify the tenths digit (4) and the digit to its right (7).
Since 7 is 5 or greater, round up the tenths digit.
$9.47 \approx 9.5$
Rounded to the nearest tenth, it is $\boxed{\text{9.5}}$ .

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