Podcast
Questions and Answers
What is the process of finding the total when adding two or more numbers together?
What is the process of finding the total when adding two or more numbers together?
If Lisa has 28 marbles and she loses 12, what operation should be used to find out how many marbles she has now?
If Lisa has 28 marbles and she loses 12, what operation should be used to find out how many marbles she has now?
If a class has 20 students and each student brings 2 apples to a party, which operation should be used to find out how many apples will be brought in total?
If a class has 20 students and each student brings 2 apples to a party, which operation should be used to find out how many apples will be brought in total?
What is the process of finding the product of two numbers by repeated addition?
What is the process of finding the product of two numbers by repeated addition?
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Which fundamental operation involves dividing one number by another to find the quotient?
Which fundamental operation involves dividing one number by another to find the quotient?
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If a cake weighing 60 grams is divided into equal portions that weigh 15 grams each, how many portions can be made?
If a cake weighing 60 grams is divided into equal portions that weigh 15 grams each, how many portions can be made?
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If a student has $600 saved up for their summer vacation and the vacation will cost $150 per day, how many days can the student afford to be on vacation?
If a student has $600 saved up for their summer vacation and the vacation will cost $150 per day, how many days can the student afford to be on vacation?
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A cashier has $8,500 in their register. If a customer pays with a $100 bill, how much money does the cashier have left?
A cashier has $8,500 in their register. If a customer pays with a $100 bill, how much money does the cashier have left?
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If a company has 2,000 shares available for sale at $6 each and a client buys 800 shares, how many shares are left for sale?
If a company has 2,000 shares available for sale at $6 each and a client buys 800 shares, how many shares are left for sale?
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If a restaurant sells 400 plates of pasta at $10 each, how much revenue does the restaurant generate from selling all the plates?
If a restaurant sells 400 plates of pasta at $10 each, how much revenue does the restaurant generate from selling all the plates?
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Study Notes
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
- Addition: Adding two or more numbers together to find their total.
- Subtraction: Finding the difference between two numbers.
- Multiplication: Finding the product of two numbers by repeated addition.
- Division: Dividing one number by another to find the quotient.
Step 2: Practice solving two-step problems using 2-digit numbers
- 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.
- 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.
- 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.
- 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
- 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.
- 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.
- 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.
- 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
- 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.
- 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.
- 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.
- 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
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Description
Test your proficiency in solving two-step problems involving 2 to 4-digit numbers using addition, subtraction, multiplication, and division. Practice scenarios with 2-digit, 3-digit, and 4-digit numbers, and enhance your skills in the fundamental operations.
