Divide By Powers Of Ten
Subject: Math
Grade: Fifth grade
Topic: Divide Decimals By Powers Of Ten
Please LOG IN to download the presentation. Access is available to registered users only.
View More Content
Dividing by Powers of Ten
– Understanding division basics
– Division is splitting into equal parts or groups.
– Exploring powers of ten
– Powers of ten have a base of 10 and use exponents like 10^1 (10), 10^2 (100).
– Importance of this skill
– It simplifies complex calculations and is used in science and finance.
|
This slide introduces the concept of division by powers of ten, which is a fundamental skill in mathematics. Start by ensuring that students are comfortable with basic division concepts using whole numbers. Then, explain what powers of ten are, using examples like 10^1, 10^2, and so on, to show how the exponent represents the number of times 10 is multiplied by itself. Emphasize the practicality of this skill in various real-world applications, such as scientific notation and financial calculations, to help students understand its importance. Use visual aids to demonstrate how dividing by 10, 100, 1000, etc., shifts the decimal point to the left, making calculations easier.
Understanding Powers of Ten
– Define a Power of Ten
– A Power of Ten is 10 multiplied by itself a number of times.
– Examples: 10^1, 10^2, 10^3
– 10^1 = 10, 10^2 = 100, 10^3 = 1000, and so on.
– Patterns in Powers of Ten
– Each power of ten has one more zero than the previous.
– How to divide by Powers of Ten
– Moving the decimal point left for each power of ten.
|
Begin by explaining that a power of ten is what we get when we multiply ten by itself a certain number of times. Provide clear examples, such as 10 to the power of 1 (10^1) is 10, 10 to the power of 2 (10^2) is 100, and so on. Highlight the pattern that with each increasing power, we add a zero to the number. Then, teach students that when we divide by powers of ten, we move the decimal point to the left by the number of zeros in the power of ten. For example, dividing by 10^2 (100) moves the decimal two places to the left. This slide sets the foundation for understanding how to divide decimals by powers of ten, which will be explored in subsequent slides.
Basic Division by Ten
– Divide whole numbers by 10
– Simply divide the number by 10.
– Move the decimal left by one place
– Each division by 10 shifts the decimal one place to the left.
– Example: 50 divided by 10
– 50 / 10 equals 5. What happens to the digits?
|
This slide introduces the concept of dividing whole numbers by 10, which is a fundamental skill in understanding how to work with decimals and powers of ten. Emphasize that when dividing by 10, the decimal point moves one place to the left, making the number ten times smaller. Use the example of dividing 50 by 10 to show this visually, if possible, and explain that the ‘0’ in 50 is dropped when we divide by 10, leaving us with 5. Encourage students to think of division by 10 as simply moving the decimal point, rather than complex calculations. This will set the foundation for understanding division by larger powers of ten.
Dividing by Larger Powers of Ten
– Divide numbers by 100 (10^2)
– When we divide by 100, we move the decimal point two places to the left.
– Divide numbers by 1000 (10^3)
– Dividing by 1000 moves the decimal point three places left.
– Learn the decimal point rule
– The decimal moves left by the number of zeros in the power of ten.
– Practice with examples
– Let’s try 450 divided by 100 and 3200 divided by 1000.
|
This slide introduces students to the concept of dividing numbers by larger powers of ten, specifically 100 and 1000. Emphasize the simplicity of the process by focusing on the movement of the decimal point rather than complex calculations. Explain that for every zero in the power of ten we are dividing by, the decimal point moves one place to the left. Provide clear examples, starting with whole numbers and then progressing to decimals, to illustrate the rule. Encourage students to work out several problems on their own to become comfortable with the concept. This foundational skill will aid in their understanding of place value and the operations of decimals.
Dividing Decimals by Powers of Ten
– Apply rules to decimals
– Example: 3.5 ÷ 10
– 3.5 becomes 0.35 when divided by 10
– Example: 0.62 ÷ 100
– 0.62 becomes 0.0062 when divided by 100
– Decimal place shifts
– Each power of ten shifts the decimal place to the left
|
When dividing decimals by powers of ten, the same rules apply as with whole numbers. The key concept for students to grasp is the shift in decimal places to the left. For each power of ten, the decimal moves one place to the left. For example, dividing 3.5 by 10 moves the decimal one place, resulting in 0.35. Dividing 0.62 by 100 moves it two places, resulting in 0.0062. Use these examples to demonstrate the pattern and have students practice with additional problems to solidify their understanding. Encourage them to notice the pattern of movement in the decimal point, which will help them divide by powers of ten quickly and accurately.
Let’s Practice Dividing by Powers of Ten!
– Divide 4.8 by 10
– Moving the decimal one place to the left gives us 0.48
– How does 4.8 change?
– Divide 0.75 by 100
– Moving the decimal two places to the left gives us 0.0075
– Notice the pattern in division
– Each power of ten moves the decimal to the left
|
This slide is designed for a class activity where students will practice dividing decimals by powers of ten. Start by solving Problem 1 together, showing that dividing by 10 moves the decimal one place to the left, resulting in 0.48. Ask the students what they notice about the number and the decimal point. For Problem 2, demonstrate that dividing by 100 moves the decimal two places to the left, resulting in 0.0075. Highlight the pattern that emerges when dividing by powers of ten and how the decimal point shifts. Encourage students to think about the relationship between the number of zeros in the power of ten and the number of places the decimal moves. Provide additional problems for students to work on individually or in groups, and be ready to assist any students who need help understanding the concept.
Class Activity: Power of Ten Race
– Pair up for a division race
– Use worksheets to divide numbers
– Each worksheet has numbers to divide by 10, 100, 1000
– Race against the timer
– Understand division by powers of ten
– This game helps grasp how zeros affect division
|
This activity is designed to provide students with a hands-on and competitive way to practice dividing by powers of ten. Prepare worksheets with a variety of numbers for students to divide by 10, 100, and 1000. Pair students up and give each pair a worksheet and a pencil. Set a timer for an appropriate duration to add an element of fun and urgency. The objective is to correctly complete as many divisions as possible before the timer runs out. This will help reinforce the concept that dividing by powers of ten moves the decimal point to the left, making the number smaller. After the activity, review the answers as a class to ensure understanding. Possible variations of the activity could include different levels of difficulty in worksheets or a relay race format where students take turns to answer.
Conclusion: Mastering Division by Powers of Ten
– Recap division by powers of ten
– Remember, moving the decimal left for each power of ten
– Importance in daily life
– Useful for budgeting or understanding distances
– Encourage home practice
– Keep exploring numbers!
– Try with money or measurements
|
As we wrap up today’s lesson, let’s review the key concept of dividing by powers of ten, which involves shifting the decimal point to the left for each power. Understanding this concept is crucial as it applies to real-world scenarios like adjusting budgets or converting measurements. Encourage students to practice this skill at home, perhaps with their allowance or during cooking, to reinforce their understanding. Remind them that math is everywhere and the more they play with numbers, the more confident they’ll become in their mathematical abilities.