Mastering Two-Step Problems with 2-4 Digit Numbers Quiz

Mastering Two-Step Problems with 2-4 Digit Numbers: A Guide to the Four Fundamental Operations

As you embark on solving two-step problems involving 2 to 4-digit numbers using addition, subtraction, multiplication, and division, we'll break down the process to help you become proficient in this area. We'll explore the subtopics of 2-digit numbers, 3-digit numbers, and 4-digit numbers, while also diving into each of the four fundamental operations.

Step 1: Familiarize yourself with the four fundamental operations

1. Addition: Adding two or more numbers together to find their total.
2. Subtraction: Finding the difference between two numbers.
3. Multiplication: Finding the product of two numbers by repeated addition.
4. Division: Dividing one number by another to find the quotient.

Step 2: Practice solving two-step problems using 2-digit numbers

1. Addition: John has 17 apples and Sarah gives him 4 more. How many apples does John have now?

Answer: Add 4 to 17 (17 + 4 = 21). John now has 21 apples.

2. Subtraction: Lisa has 28 marbles and she loses 12. How many marbles does she have now?

Answer: Subtract 12 from 28 (28 - 12 = 16). Lisa now has 16 marbles.

3. Multiplication: A class has 20 students. If each student brings 2 apples to a party, how many apples will be brought in total?

Answer: Multiply the number of students (20) by the number of apples each student brings (2) (20 * 2 = 40). The class will bring 40 apples in total.

4. Division: A cake weighs 40 grams. If we want to divide this cake into equal portions that weigh 10 grams each, how many portions can we make?

Answer: Divide the weight of the cake (40) by the weight of each portion desired (10) (40 / 10 = 4). The cake can be divided into 4 equal portions, each weighing 10 grams.

Step 3: Practice solving two-step problems using 3-digit numbers

1. Addition: The cost of a shirt is $147 and the cost of a pair of pants is $59. If you purchase both, what is the total cost?

Answer: Add the cost of the shirt ($147) to the cost of the pants ($59) (147 + 59 = 206). The total cost is $206.

2. Subtraction: If a store starts with 324 items in stock and has sold 123, how many items does the store have left?

Answer: Subtract the number of items sold (123) from the initial stock (324) (324 - 123 = 201). The store has 201 items left in stock.

3. Multiplication: A bookstore sells 83 books at $9.50 each. How much revenue does the bookstore generate from selling all the books?

Answer: Multiply the number of books sold (83) by the price of each book ($9.50) (83 * 9.50 = 791.50). The bookstore generates $791.50 in revenue.

4. Division: A student has $450 saved up for their summer vacation. If the vacation will cost $300 per day for 6 days, how many days can the student afford to be on vacation?

Answer: Divide the amount saved ($450) by the daily cost of the vacation ($300) (450 / 300 = 1.5). The student can afford 1.5 days of vacation. Since a fraction of a day is not possible, the student can afford 5 full days of vacation.

Step 4: Practice solving two-step problems using 4-digit numbers

1. Addition: A cashier has $9,276 in their register. If a customer pays with a $50 bill, how much money does the cashier have left?

Answer: Subtract the amount paid ($50) from the cashier's initial amount ($9,276) (9,276 - 50 = 9,226). The cashier has $9,226 left.

2. Subtraction: A company has 1,250 shares available for sale at $4.50 each. If a client buys 600 shares, how many shares are left for sale?

Answer: Subtract the number of shares sold (600) from the initial number of shares available (1,250) (1,250 - 600 = 650). There are 650 shares left for sale.

3. Multiplication: A restaurant sells 250 plates of pasta at $8.50 each. How much revenue does the restaurant generate from selling all the plates?

Answer: Multiply the number of plates sold (250) by the price of each plate ($8.50) (250 * 8.50 = 2,125). The restaurant generates $2,125 in revenue.

4. Division: A company has $6,789 to invest in a new project. If the project costs $500 per day for 14 days, how many days can the company invest in the project?

Answer: Divide the amount available to invest ($6,789) by the daily cost of the project ($500) (6,789 / 500 = 13.58). The company can invest in the project for 13.58 days. Since a fraction of a day is not possible, the company can invest in the project for 13 full days.

By practicing these subtopics, you'll build confidence and skill in solving two-step problems with 2 to 4-digit numbers using the four fundamental operations. Keep