Show What You Know About

Base 10 and Exponents

Name:______

Assessment / Standard Form / Expanded Form / Exponential Form / Shape Represented
Unit / 1 / 1 / 10º / Cube
Students may depict by drawing.
Ten / 10 / 10 / 10¹ / Long
Hundred / 100 / 10 x 10 / 10² / Flat/Square
Thousand / 1,000 / 10 x 10 x 10 / 10³ / Cube
Ten Thousand / 10,000 / 10 x 10 x 10 x 10 / 104 / Long
Hundred Thousand / 100,000 / 10 x 10 x 10 x 10 x 10 / 105 / Flat/Square
Million / 1,000,000 / 10 x 10 x 10 x 10 x 10 x 10 / 106 / Cube
Ten Million / 10,000,000 / 10 x 10 x 10 x 10 x 10 x 10 x 10 / 107 / Long
Hundred Million / 100,000,000 / 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 / 108 / Flat/Square
  1. What patterns do the shapes represent Explain your thinking:

1 – 1,000 – 1,000,000 are each represented by a cube (1000 equals 10 of the 100 flats stacked on top of each other)

10 – 10,000 – 10,000,000 are each represented by a long or rod (10 equals 10 of the 1 units pushed together to form a long/rod)

100 – 100,000 – 100,000,000 are each represented by a flat (10 x 10 = 10 longs pushed together to form a flat)

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  1. Using the numbers above explain the relationship between the number of zeros and the exponent.

The number of zeros is represented by the exponent. For Example: 10² = 100 which has two zeros

10³ = 1000 which has three zeros

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  1. Draw and label an example of a base ten number with an exponent. Explain the relationship and how you use the exponent: (Use the space below)

Ten is the base number10³Three is the exponent

The exponent indicates how many time you will multiply the base by itself. 10 raised to the power of 3 equals

10 x 10 x 10 = 1,000. The exponent also indicates the number of zeros in the product.