Exponents of 10 Worksheet

If you are in need of a comprehensive worksheet to practice and master exponents of 10, look no further. This worksheet is designed for students who want to strengthen their understanding of working with exponents and their relationship to the base number 10.

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What is the value of 10 to the power of 1?

The value of 10 to the power of 1 is 10.

What is the value of 10 to the power of 0?

The value of 10 to the power of 0 is 1.

What happens when you raise 10 to the power of 2?

When you raise 10 to the power of 2, or 10^2, you are performing the operation of exponentiation, which means you multiply 10 by itself 2 times. This results in the mathematical expression being equal to 100.

How do you write 10 to the power of 3 in exponential form?

10 to the power of 3 in exponential form is written as 10^3.

What is the result of multiplying 10 to the power of 4 by 10 to the power of 2?

When you multiply 10 to the power of 4 by 10 to the power of 2, you add the exponents together, resulting in 10 to the power of 6, which is equivalent to 1,000,000.

If you raise 10 to the power of -1, what is the resulting decimal value?

Raising 10 to the power of -1 results in 0.1 as the decimal value.

How would you express 10 to the power of -2 in fractional form?

10 to the power of -2 can be expressed in fractional form as 1/100.

What is the value of 10 raised to the power of 5?

The value of 10 raised to the power of 5 is 100,000.

When you multiply two numbers both represented as 10 to the power of 3, what happens to their exponents?

When you multiply two numbers both represented as 10 to the power of 3, the exponents will add together. This means that the resulting product will be represented as 10 to the power of 6 (3+3=6).

Explain the pattern that emerges when you raise 10 to increasing powers (e.g., 10^1, 10^2, 10^3, ...).

When you raise 10 to increasing powers, the pattern that emerges is that each new power adds an extra zero to the end of the result. For example, 10^1 equals 10, 10^2 equals 100, 10^3 equals 1000, and so on. This happens because each power of 10 represents multiplying the previous result by 10, which shifts the decimal place to the right and increases the number of zeros in the integer part.