Decimals and Fractions Review

A set of practice questions covering decimal place value, rounding, arithmetic operations with decimals, and conversions between fractions and decimals based on lecture learning objectives.

What is the value of the digit $8$ in the number $6.1287$?

The value is $8$ thousandths, which can be written as $0.008$.

What is the decimal equivalent of the fraction $\frac{317}{100}$?

$$3.17$$

Which number is the smallest among $2.37$, $2.72$, and $3.27$?

$$2.37$$

If the number $23.5398$ is to be rounded to two decimal places, which digit is the critical digit?

The digit $9$ (located in the third decimal place).

What is the result of rounding $0.43917$ to $2$ decimal places?

$$0.44$$

What is the sum of $64.8+3.012+5.94$?

$$73.752$$

What is the result of $146.35 - 79.5$?

$$66.85$$

What is the value of $4.31 \times 10000$?

$$43100$$

What is the result of $7.82 \div 1000$?

$$0.00782$$

What is the result of $23 \div 1000$, introducing decimal places as required?

$$0.023$$

How do you estimate the product of $4.13 \times 7.62$ by first rounding each decimal to the nearest whole number?

Round $4.13$ to $4$ and $7.62$ to $8$, then calculate $4 \times 8 = 32$.

What is the product of $3.63 \times 6.9$?

$$25.047$$

What is the product of $0.032 \times 600$?

$$19.2$$

What is the result of dividing $67.04 \div 8000$?

$$0.00838$$

How is the decimal $10.35$ converted to a mixed numeral in simplest form?

$$10 \frac{35}{100} = 10 \frac{7}{20}$$

How is the fraction $5/3$ (written in notes as $53$) converted to a decimal?

$1.666...$ (or $1.\overline{6}$)