Convert exponents to standard forms Math Practice Quiz

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This quiz is an introduction to the world of exponents. Every number can be written in a standard exponential notation and the most common choice is to use 10 as the base. For example, a number such as 30 can be written as 10 raised to the power one multiplied by 3 which is nothing but 3×101. Here in the questions of the quiz, the exponential form is given and the child has to write it into usual standard notation. Say an exponent 4.5×103 is given, then the answer is 4.5 multiplied by 1000 (since 103 is 1000 in the expanded form) which results in the answer as 4500. The exponents find a good use in the science and hence this quiz gives a good practice for the child to be well aware of the exponents.

How to convert exponent into standard form?

Converting exponents to standard form is a useful skill that can help you understand and work with numbers more efficiently. In this lesson, we’ll go over the basics of exponents and how to convert them to standard form.

An exponent is a number that tells you how many times to multiply a base number by itself. For example, the base number 5 and the exponent 3 can be written as 5^3. This means you need to multiply 5 by itself 3 times, which equals 5 x 5 x 5 = 125.

The base number is always written first, followed by the exponent, which is written as a small number above and to the right of the base number. This is called “exponential notation.”

Sometimes, you may come across a number that is written in “expanded form,” which means it is written as a series of multiplication problems. For example, 125 can also be written as 5 x 5 x 5, or 100 + 25.

To convert a number written in expanded form to standard form, you need to add up all the factors and write the result as a single number with an exponent. For example, to convert 5 x 5 x 5 to standard form, you would add up the factors (5 + 5 + 5) to get 15, and then write the result as a single number with an exponent: 15 = 1.5^3.

It’s important to remember that any number to the power of 0 is equal to 1. So, if you see a base number with an exponent of 0, you can simply write it as 1.

Here are a few more examples of converting numbers from expanded form to standard form:

  • 2 x 2 x 2 x 2 x 2 = 32 = 2^5
  • 3 x 3 x 3 x 3 = 81 = 3^4
  • 4 x 4 x 4 = 64 = 4^3

Now let’s try converting a number from standard form to expanded form. To do this, you need to multiply the base number by itself the number of times indicated by the exponent.

For example, to convert 2^5 to expanded form, you would need to multiply 2 by itself 5 times: 2 x 2 x 2 x 2 x 2 = 32.

Here are a few more examples of converting numbers from standard form to expanded form:

  • 3^4 = 3 x 3 x 3 x 3 = 81
  • 4^3 = 4 x 4 x 4 = 64
  • 5^2 = 5 x 5 = 25

Converting exponents to standard form is a useful skill that can help you work with numbers more efficiently. By understanding the basics of exponents and how to convert them to and from standard form, you’ll be able to solve problems and perform calculations more quickly and accurately.