Mathematics Review: Operations with Decimals, Fractions, and Temperature Problems

Flashcards testing problem-solving skills across decimal arithmetic, order of operations, fraction addition and subtraction, and temperature rate word problems from lecture worksheets.

What is the result of $-4.2 \times 6.5$?

$$-27.3$$

What is the result of $-5.1 \times (-9.3)$?

$$47.43$$

What is the result of $1.68 \div (-1.4)$?

$$-1.2$$

What is the result of $35.7 \div (-4.2)$?

$$-8.5$$

What is the result of $-6 \div 22$, rounded to the nearest thousandth?

$$-0.273$$

What is the result of $(-0.29) \times (-0.91)$, rounded to the nearest thousandth?

$$0.264$$

What is the simplified result of $\frac{2}{3} + \frac{1}{2} - \left(-3\frac{1}{3}\right)$ as an improper fraction?

$$\frac{9}{2}$$

At midnight, the temperature outside is $8\,^\circ\text{C}$ and drops by $1.5\,^\circ\text{C}$ per hour. Will the temperature at 4 a.m. be above or below $0\,^\circ\text{C}$?

It will be above $0\,^\circ\text{C}$ because in $4\,\text{hours}$ the temperature drops by $6\,^\circ\text{C}$ ($4 \times 1.5\,^\circ\text{C} = 6\,^\circ\text{C}$), leaving a temperature of $2\,^\circ\text{C}$.

At midnight, the temperature outside is $8\,^\circ\text{C}$ and drops by $1.5\,^\circ\text{C}$ per hour. At what time will the temperature reach $0\,^\circ\text{C}$?

$$5:20\text{ a.m.}$$

At midnight, the temperature outside is $8\,^\circ\text{C}$ and drops by $1.5\,^\circ\text{C}$ per hour. What will the temperature be at 9:30 a.m., rounded to the nearest degree?

$$-6\,^\circ\text{C}$$

What is the calculated value of $10.3 + 5.7 \div (-0.5) - (-2 \times 1.5)$?

$$1.9$$

What is the sum of $\frac{2}{3} + \frac{1}{4} + \frac{5}{12}$ expressed as a fraction in lowest terms?

$$\frac{4}{3}$$

What is the calculated value of $3 - \sqrt{4}(1.3) - 10(1.6 - 1.8)$?

$$2.4$$