Power of 10

The Power of 10

By Jagan Bruce

Standard and Essential questions

Standard - CC.2.1.5.B.1 Apply place value to show an understanding of operations and rounding as they pertain to whole numbers and decimals.​

Essential Questions​​

·   How can we relate exponents to the grouping of numbers?

·   How does understanding the powers of 10 help us determine where the decimal point goes in a product or quotient?​

Objectives

1. denote powers of 10 using whole number exponents.

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2. Explain patterns in the number of zeros in a product or quotient when multiplying or dividing by a power of ten.

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Open Ended

What is a product?

What is a quotient?

Let's look at the following expressions​

​1 x 10 =

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​1 x 10 x 10 =

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1 x 10 x 10 x 10 =

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1 x 10 x 10 x 10 x 10 = ​

Open Ended

What are two different ways we can rewrite $$10^6$$ ?   

What happens when we divide?

Fill in the chart with a number value that represents the place value.

Key Vocab

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• Decimal Place Value: A place value to the right of the decimal point in a number. The base for a decimal place value is less than 1. Each place value after the decimal point is of the place value to its left.

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• Tenths Place: The place value on the right of the decimal point in a base-ten number. The digit in this place represents a fractional part out of ten.

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• Exponent: A number used to show the number of times a base value should be multiplied repeatedly by itself.

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1. Everyone will be paired up with one partner and each group will be given 27 total flash cards.

2. There are 3 groups of 9 in each set of flash cards.

   1. Each group labeled either a star, triangle, or circle.

3. One shape from a group of 9 will equal 2 shapes from the other groups.

   1. For example...

4. After you match each of the 3 different shapes together, you will place your pairs in a 3 x 3 square for me to check.

   1. Look at the image to the left to see what i mean​.

​Flash Card Game​

Open Ended

What is one takeaway that you got from today's lesson?