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Powers of 10
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What you will learn from this videoWhat you will learn
- We’ll learn about powers of 10.
- We will also learn how to multiply and divide large numbers using powers of 10.
- And we will see that this knowledge can help us wash a dog, run for president and even count 1 MILLION dollars!
- Discussion Questions
Before Video
What is the value of the 5 in the number 2,523?ANSWER500
25,230
5,000
The tens place.
Hundreds thousands place.
After Video
When you multiply a number by a power of 10, do the digits in the number shift right or left? Explain. ANSWERThe digits shift to the left because the number gets bigger.
The digits shift to the right because the number gets smaller.
The digits move the number of spaces equal to the whole number exponent.
10^{4}
765.4 ÷ 10.
ANSWERThe digits all move one place to the right. [Alternatively, the decimal moves one place to the left.]
- Vocabulary
- Place value DEFINE
The numerical value that a digit has based on its position in a number.
- Exponent DEFINE
A small raised number used in exponential notation to tell how many times the base is used as a factor. For example, in 10^{3} the base is 10, the exponent is 3, and 10^{3} = 10 x 10 x 10 = 1,000. Same as a power.
- Power of 10 DEFINE
A way to write large numbers written using ten to a power, or exponent.
- Base ten DEFINE
A number system in which each number is 10 times the value to the right of it.
- Digit DEFINE
Any one of the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 in the base-ten number system.
- Standard notation DEFINE
A number written in the standard format, such as 100.
- Word notation DEFINE
A number written as a word, such as one hundred.
- Expanded form DEFINE
A number written as repeated multiplication, such as 10 × 10.
- Exponential notation DEFINE
A way to write repeated multiplication using a base and exponent. For example, in the exponential expression 10^{2}, the base 10 is used as a factor 2 times to represent 10 × 10 = 100.
- Place value DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide