Real-World Examples of Multi-Step Rational Number Problems Grade 7

📚 Quick Study Guide

• 🔢 Rational Numbers: Numbers that can be expressed as a fraction $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0$. This includes fractions, decimals that terminate or repeat, and integers.
• ➕ Adding and Subtracting Rational Numbers: To add or subtract fractions, they must have a common denominator. Then, add or subtract the numerators and keep the denominator. For decimals, line up the decimal points and add or subtract as usual.
• ✖️ Multiplying Rational Numbers: Multiply the numerators and multiply the denominators. For decimals, multiply as usual, then count the total number of decimal places in the factors and place the decimal point in the product accordingly.
• ➗ Dividing Rational Numbers: To divide fractions, multiply by the reciprocal of the divisor. For decimals, move the decimal point in both the divisor and dividend to make the divisor a whole number, then divide as usual.
• 🧮 Order of Operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

📝 Practice Quiz

1. What is the total cost of 3.5 pounds of apples at $1.20 per pound and 2.25 pounds of bananas at $0.80 per pound?
   1. $5.90
   2. $6.00
   3. $6.10
   4. $6.20
2. A recipe calls for $\frac{2}{3}$ cup of flour. If you want to make half of the recipe, how much flour do you need?
   1. $\frac{1}{6}$ cup
   2. $\frac{1}{3}$ cup
   3. $\frac{1}{2}$ cup
   4. $\frac{5}{6}$ cup
3. John has $25. He spends $\frac{1}{5}$ of it on a snack and $\frac{2}{5}$ of it on a book. How much money does he have left?
   1. $5
   2. $10
   3. $12.50
   4. $15
4. A store is having a 20% off sale. If an item originally costs $45, what is the sale price?
   1. $9
   2. $36
   3. $54
   4. $25
5. Sarah walks $\frac{3}{4}$ of a mile to school and then $\frac{3}{4}$ of a mile back home. How many miles does she walk in total in 5 days?
   1. 2.5 miles
   2. 5 miles
   3. 7.5 miles
   4. 10 miles
6. A rectangle has a length of 6.5 cm and a width of 4 cm. What is its area?
   1. 10.5 cm²
   2. 21 cm²
   3. 26 cm²
   4. 52 cm²
7. If a temperature drops from 15.5°C to -2.3°C, by how many degrees did it drop?
   1. 13.2°C
   2. 17.8°C
   3. -17.8°C
   4. -13.2°C