Multiplying and Dividing Powers of 10 Worksheet

Are you a student struggling with multiplying and dividing powers of 10? Look no further! We have created a comprehensive worksheet that will help you master this important concept in math. Whether you are in middle school or high school, this worksheet is designed to provide step-by-step practice problems for you to work on. By the end of this worksheet, you will feel confident in your ability to multiply and divide powers of 10.

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What is the rule for multiplying powers of 10 with the same exponent?

When multiplying powers of 10 with the same exponent, you simply add the exponents together. For example, 10^2 * 10^3 = 10^(2+3) = 10^5. This rule applies to any powers of 10 with the same exponent, making it easier to calculate the result.

How do you multiply a power of 10 by a whole number?

To multiply a power of 10 by a whole number, you simply shift the decimal point to the right the same number of places as the exponent of 10. For example, to multiply 10^3 by 5, you would shift the decimal point three places to the right (since the exponent is 3), resulting in 5,000.

How do you multiply a power of 10 by a decimal number?

To multiply a power of 10 by a decimal number, you simply move the decimal point to the right by the same number of places as the exponent of 10. For example, to multiply 10^3 (which is 1000) by 0.2, you would move the decimal point in 0.2 three places to the right to get the result of 200.

What is the rule for dividing powers of 10 with the same exponent?

When dividing powers of 10 with the same exponent, subtract the exponents of the base (which is 10). So if you have 10^m divided by 10^n, the result is 10^(m-n).

How do you divide a power of 10 by a whole number?

To divide a power of 10 by a whole number, you simply move the decimal point to the left by the number of zeros in the power of 10. For example, dividing 10,000 by 4 would involve moving the decimal point in 10,000 three places to the left, resulting in 2,500.

How do you divide a power of 10 by a decimal number?

To divide a power of 10 by a decimal number, you can shift the decimal point of the power of 10 to the left by the same number of places as there are digits after the decimal point in the divisor. After shifting the decimal point, treat the expression as a regular division problem with whole numbers. Calculator can also be used for precise calculations.

How do you multiply two powers of 10 with different exponents?

To multiply two powers of 10 with different exponents, you add the exponents together and keep the base (10) the same. For example, to multiply 10^3 and 10^4, you add 3 + 4 to get 10^7. This is because when you multiply powers with the same base, you add the exponents.

How do you divide two powers of 10 with different exponents?

When dividing two powers of 10 with different exponents, you subtract the exponent of the divisor from the exponent of the dividend. This will give you the new exponent of 10. For example, if you are dividing 10^5 by 10^3, you subtract 3 from 5 to get 10^2. So, 10^5 divided by 10^3 equals 10^2.

Can you multiply a power of 10 by zero? If so, what is the result?

Yes, you can multiply a power of 10 by zero. The result of multiplying any number, including a power of 10, by zero is always zero.

Can you divide a power of 10 by zero? If not, why?

No, you cannot divide a power of 10 by zero. Division by zero is undefined in mathematics because it would lead to an infinite result, which does not have a meaningful mathematical interpretation. Dividing by zero violates the principles of arithmetic and leads to mathematical inconsistencies.