Multiply-divide By Powers Of Ten

1) 10⁴ =

104

10000

100

1003

The given answer, 10000, is the correct answer because 10⁴ represents 10 raised to the power of 4, which is equal to 10,000.

Explanation

The given answer, 10000, is the correct answer because 10⁴ represents 10 raised to the power of 4, which is equal to 10,000.

2) 100 =

10²

10

10¹⁰

The correct answer is 10² because 10 raised to the power of 2 is equal to 100.

Explanation

The correct answer is 10² because 10 raised to the power of 2 is equal to 100.

3) 10 ⁻¹ =

0.1

101

10

The given expression is 10⁻¹. This means that we have a base of 10 raised to the power of -1. When a number is raised to a negative power, it means that we need to take the reciprocal of that number. Therefore, 10⁻¹ is equal to 1/10, which is equivalent to 0.1.

Explanation

The given expression is 10⁻¹. This means that we have a base of 10 raised to the power of -1. When a number is raised to a negative power, it means that we need to take the reciprocal of that number. Therefore, 10⁻¹ is equal to 1/10, which is equivalent to 0.1.

4) 475 x 1000 =

The correct answer is 475,000. The multiplication of 475 by 1000 results in shifting the decimal point three places to the right, which gives us 475,000.

Explanation

The correct answer is 475,000. The multiplication of 475 by 1000 results in shifting the decimal point three places to the right, which gives us 475,000.

Submit

5) 54 x 10⁶ =

The correct answer is 54,000,000. This is because when multiplying 54 by 10⁶, we move the decimal point six places to the right, resulting in a number that has six zeros after the 54.

Explanation

The correct answer is 54,000,000. This is because when multiplying 54 by 10⁶, we move the decimal point six places to the right, resulting in a number that has six zeros after the 54.

Submit

6) 0.00001 =

10⁵

10

10⁻⁵

The given expression 0.00001 can be rewritten as 10⁻⁵. This is because 0.00001 is equivalent to dividing 1 by 100,000, which can be expressed as 1/10⁵. In scientific notation, 10⁻⁵ represents a number that is 10 raised to the power of -5, which is the same as dividing 1 by 10⁵. Therefore, the correct answer is 10⁻⁵.

Explanation

The given expression 0.00001 can be rewritten as 10⁻⁵. This is because 0.00001 is equivalent to dividing 1 by 100,000, which can be expressed as 1/10⁵. In scientific notation, 10⁻⁵ represents a number that is 10 raised to the power of -5, which is the same as dividing 1 by 10⁵. Therefore, the correct answer is 10⁻⁵.

7) 59801 ÷ 100 =

The given question involves dividing 59801 by 100. When we divide a number by 100, we move the decimal point two places to the left. Therefore, the decimal point in 59801 will move two places to the left, resulting in 598.01. Thus, the answer is 598.01.

Explanation

The given question involves dividing 59801 by 100. When we divide a number by 100, we move the decimal point two places to the left. Therefore, the decimal point in 59801 will move two places to the left, resulting in 598.01. Thus, the answer is 598.01.

Submit

8) 8599.3 ÷ 10³ =

The given question is asking to divide 8599.3 by 10³. Dividing a number by 10³ is equivalent to moving the decimal point three places to the left. So, when we divide 8599.3 by 1000, we get 8.5993. Therefore, the answer is 8.5993.

Explanation

The given question is asking to divide 8599.3 by 10³. Dividing a number by 10³ is equivalent to moving the decimal point three places to the left. So, when we divide 8599.3 by 1000, we get 8.5993. Therefore, the answer is 8.5993.

Submit

9) 0.47 ÷ 10 =

When dividing a number by 10, the decimal point is moved one place to the left. In this case, 0.47 divided by 10 results in 0.047.

Explanation

When dividing a number by 10, the decimal point is moved one place to the left. In this case, 0.47 divided by 10 results in 0.047.

Submit

10) 0.0038 x 10⁴ =

The given equation is a multiplication problem where 0.0038 is multiplied by 10⁴. When we multiply 0.0038 by 10⁴, we move the decimal point four places to the right, resulting in 38. Therefore, the answer to the equation is 38.

Explanation

The given equation is a multiplication problem where 0.0038 is multiplied by 10⁴. When we multiply 0.0038 by 10⁴, we move the decimal point four places to the right, resulting in 38. Therefore, the answer to the equation is 38.

Submit

11) 0.00574 x 100 =

To find the product of 0.00574 and 100, we multiply 0.00574 by 100. Multiplying 0.00574 by 100 gives us 0.574.

Explanation

To find the product of 0.00574 and 100, we multiply 0.00574 by 100. Multiplying 0.00574 by 100 gives us 0.574.

Submit

12) 0.00554 ÷ 10⁻⁶ =

To divide a number by a power of 10, we move the decimal point to the right by the number of zeros in the power of 10. In this case, we have 0.00554 divided by 10⁻⁶. Since there are six zeros in 10⁻⁶, we move the decimal point of 0.00554 six places to the right, resulting in 5540.

Explanation

To divide a number by a power of 10, we move the decimal point to the right by the number of zeros in the power of 10. In this case, we have 0.00554 divided by 10⁻⁶. Since there are six zeros in 10⁻⁶, we move the decimal point of 0.00554 six places to the right, resulting in 5540.

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