 1. Word cloud
120 seconds
What is the power of 10?
2. Slide
60 seconds
The Power of 10
The power of 10 is a way to think about numbers that are exponentially larger or smaller than 1. For example, 10 to the power of 2 is 100, while 10 to the power of -2 is 0.01. In the real world, this concept can help you better understand scientific measurements and calculations.
3. Slide
60 seconds
The Power of 10
10 can be used to show the relationship between numbers and how to multiply and divide them. It is used to quickly calculate and solve math problems. Knowing the power of 10 can help you understand scientific notation and exponents.
4. Slide
60 seconds
the power of 10
Exponential Growth: The power of 10 is the ability of a number to increase by 10 times its original value with each successive power. For example, 10 to the second power is 100 (10 x 10), and 10 to the third power is 1000 (10 x 10 x 10).
Order of Magnitude: The power of 10 is the concept of exponentials on a logarithmic scale. An increase of 1 order of magnitude is a 10x increase in size or quantity.
Scientific Notation: The power of 10 is the expression of large or small numbers in scientific notation. This notation uses powers of 10 to represent numbers that are too large or too small to be written in decimal form.
5. Slide
60 seconds
10 =10x10 10 = 10x10x10 10 =
3
2
4
6. Slide
60 seconds
Did you know?
If you raise 10 to the power of 10, it will equal 10 billion. The number 10 raised to the power of 100 is called a googol, and it equals 1 followed by 100 zeros. The number 10 raised to the power of 1000000 is called a googolplex, and it is equal to 1 followed by a googol of zeros.
7. Open question
300 seconds
What do you notice about the pattern of numbers when you multiply a number by 10?
8. Slide
60 seconds
Power of Ten Expanded Form
In math, the power of ten is used to express numbers in terms of 10s. Expanded form is a way to write a number using the power of 10. For example, the number 675 can be written in expanded form as 600 + 70 + 5.
9. Slide
60 seconds
An exponent, often denoted as "a^b," consists of a base (a) and an exponent or power (b). It means that you multiply the base by itself b times. For example, 2^3 means 2 multiplied by itself three times, which is 2 * 2 * 2 = 8. Break Down the Number: To express a number in expanded form, consider each digit's place value in the number. Start from the leftmost digit (the highest place value) and move to the right. Express Each Digit: For each digit in the number, write it as a product of the digit and the corresponding power of the base. Sum the Terms: Add up all the terms obtained in the previous step to get the expanded form of the number. Let's illustrate this with an example:
10. Slide
60 seconds
Example: Express 426 in expanded form using base 10. Start from the leftmost digit (4, which is in the hundreds place) and work your way to the right: 4 is in the hundreds place, so it's 4 x 10 = 4 x 100 = 400. 2 is in the tens place, so it's 2 x 10 = 2 x 10 = 20. 6 is in the ones place, so it's 6 x 10 = 6 x 1 = 6. Now, sum up these terms: 400 + 20 + 6 = 426.
2
1
0
11. Slide
60 seconds
Here are a few rules
Anything to the power of 1 is that number 10 =10 Anything to the power of 0 =1 10 =1
1
0
12. Slide
60 seconds
328
Write the number in expanded form
13. Slide
60 seconds
300+20+8
14. Slide
60 seconds
Write it in expanded form using exponents
Hint: First we need to get 300 3x10 10 =10x10 =100 3x100
2
2
15. Slide
60 seconds
3x10 + 2x10 + 8x10
2
1
0
16. Poll
60 seconds
What is the expanded form of 422 using exponents?
• 400 + 20 + 2
• 4 x 10^2 + 2 x 10^1 + 2 x 10^0
• 4 x 100 + 20 + 2
17. Slide
60 seconds
Power of Ten Expanded Form
In math, the power of ten is used to express numbers in terms of 10s. Expanded form is a way to write a number using the power of 10. For example, the number 675 can be written in expanded form as 600 + 70 + 5.
18. Slide
60 seconds
Did you know?
The power of 10 expanded form is a mathematical concept that is used to help explain exponential growth. The power of 10 expanded form is also known as the scientific notation. The power of 10 expanded form is used by astronomers to calculate the distances between stars and galaxies. This is because these distances are too large to measure in the usual numerical notation