Introduction
Welcome to our website! In this article, we will be providing you with the answer key for the 5 NBT 2 worksheets. These worksheets are designed to help students practice and master the concepts covered in the 5 NBT 2 standard. By providing the answer key, we aim to assist both students and educators in evaluating and understanding the solutions to the problems presented in the worksheets.
What are 5 NBT 2 worksheets?
Before we dive into the answer key, let's briefly discuss what 5 NBT 2 worksheets are. These worksheets are specifically designed to align with the 5th grade Common Core Math standard 5 NBT 2. This standard focuses on students' ability to explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10.
Answer Key for 5 NBT 2 Worksheets
Worksheet 1: Multiplying Decimals by Powers of 10
1. 4.2 x 10 = 42 2. 3.75 x 100 = 375 3. 0.6 x 1,000 = 600 4. 9.8 x 10,000 = 98,000 5. 0.025 x 100,000 = 2,500 6. 1.2 x 1,000,000 = 1,200,000 7. 7.6 x 10,000,000 = 76,000,000 8. 0.003 x 100,000,000 = 300,000 9. 2.05 x 1,000,000,000 = 2,050,000,000 10. 6.4 x 10,000,000,000 = 64,000,000,000
Worksheet 2: Dividing Decimals by Powers of 10
1. 420 ÷ 10 = 42 2. 3,750 ÷ 100 = 37.5 3. 6,000 ÷ 1,000 = 6 4. 980,000 ÷ 10,000 = 98 5. 25,000 ÷ 100,000 = 0.25 6. 1,200,000 ÷ 1,000,000 = 1.2 7. 76,000,000 ÷ 10,000,000 = 7.6 8. 3,000,000 ÷ 100,000,000 = 0.03 9. 2,050,000,000 ÷ 1,000,000,000 = 2.05 10. 64,000,000,000 ÷ 10,000,000,000 = 6.4
Worksheet 3: Explaining Patterns
1. When a decimal is multiplied by 10, the decimal point moves one place to the right. 2. When a decimal is multiplied by 100, the decimal point moves two places to the right. 3. When a decimal is multiplied by 1,000, the decimal point moves three places to the right. 4. When a decimal is multiplied by 10,000, the decimal point moves four places to the right. 5. When a decimal is multiplied by 100,000, the decimal point moves five places to the right. 6. When a decimal is multiplied by 1,000,000, the decimal point moves six places to the right. 7. When a decimal is multiplied by 10,000,000, the decimal point moves seven places to the right. 8. When a decimal is multiplied by 100,000,000, the decimal point moves eight places to the right. 9. When a decimal is multiplied by 1,000,000,000, the decimal point moves nine places to the right. 10. When a decimal is multiplied by 10,000,000,000, the decimal point moves ten places to the right.
Worksheet 4: Applying 5 NBT 2 Concepts
1. Jack bought 5.25 pounds of apples. How many ounces is that? (Answer: 84 ounces) 2. A rectangular field measures 8.6 meters in length and 2.4 meters in width. What is the area of the field in square meters? (Answer: 20.64 square meters) 3. Mary drove 125.8 miles in 3.5 hours. What was her average speed in miles per hour? (Answer: 35.94 miles per hour) 4. A recipe calls for 0.75 cups of sugar. How many tablespoons is that? (Answer: 12 tablespoons) 5. The mass of an object is 0.025 kilograms. What is the mass of 5 such objects? (Answer: 0.125 kilograms) 6. A swimming pool is 12.5 meters long and 5.6 meters wide. What is the perimeter of the pool? (Answer: 36.2 meters) 7. A car can travel 75.6 miles with 3 gallons of gasoline. How many miles can it travel with 10 gallons of gasoline? (Answer: 252 miles) 8. A rectangular box measures 3.25 feet in length, 2.5 feet in width, and 1.8 feet in height. What is the volume of the box in cubic feet? (Answer: 14.625 cubic feet) 9. A student earned 89.5% on a test. What is the fraction equivalent of the grade? (Answer: 179/200) 10. A company made a profit of $25,000 in the first quarter. What is the profit for the entire year if each quarter's profit is the same? (Answer: $100,000)
Conclusion
We hope that this answer key has been helpful in your understanding and evaluation of the 5 NBT 2 worksheets. By providing the solutions to the problems, we aim to support both students and educators in their learning journey. Remember, practice is key to mastering these concepts, so don't hesitate to make use of these worksheets and answer key to further enhance your skills in multiplying and dividing decimals by powers of 10. Good luck!