Multiplying by Powers of 10 Worksheet

Are you a math teacher or a parent looking for a resource to help your students or children practice multiplying by powers of 10? Look no further! We have just what you need - a comprehensive multiplying by powers of 10 worksheet that will provide ample practice and reinforcement of this important math skill.

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What is the product when multiplying a number by 10?

When you multiply a number by 10, the product is simply that number with a zero added to its end. For example, if you multiply 5 by 10, the product is 50. This is because multiplying by 10 is equivalent to shifting the decimal point in the number one place to the right.

What is the product when multiplying a number by 100?

The product of multiplying a number by 100 is simply that number multiplied by 100. For example, if you multiply 5 by 100, the product is 500 (5 * 100 = 500).

What is the product when multiplying a number by 1,000?

The product when multiplying a number by 1,000 is simply that number with three additional zeros appended to the right side of it, effectively increasing its value by a factor of 1,000.

What is the product when multiplying a number by 10,000?

The product when multiplying a number by 10,000 is the number multiplied by 10,000, which is essentially the same number with four additional zeros added to the end.

What happens to the digits of a number when multiplying it by 10?

When a number is multiplied by 10, each digit in the original number moves one place to the left, effectively adding a 0 to the end of the original number. This operation increases the original number's value by a factor of 10, making it ten times larger than the original number.

What happens to the digits of a number when multiplying it by 100?

When multiplying a number by 100, the digits of the original number are shifted two places to the left. This is because multiplying by 100 is equivalent to adding two zeros to the original number. For example, if you multiply 5 by 100, you get 500, where the digit 5 is shifted two places to the left.

What happens to the digits of a number when multiplying it by 1,000?

When you multiply a number by 1,000, you add three zeros to the end of the number. This means each digit in the original number appears three places to the left in the new number, effectively increasing its value by a factor of 1,000.

What happens to the digits of a number when multiplying it by 10,000?

When you multiply a number by 10,000, you are essentially adding four zeros to the end of the number. This means that each digit in the original number is shifted four places to the left in the new number.

How can you express multiplying a number by 10 with exponents?

To express multiplying a number by 10 with exponents, you would write it as the number raised to the power of 1 after being multiplied by 10, which can be written as 10^1.

How can you express multiplying a number by 1,000 with exponents?

To express multiplying a number by 1,000 using exponents, you would write the base number followed by the exponent of 3, since 1,000 is equal to 10^3. So if the number is x, it can be expressed as x * 10^3.