6th grade Q2

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How do you give the value of numbers expressed in exponential notation?

When you see a number written with a little number above and to the right, you're looking at exponential notation. It's a quick way to say "multiply this number by itself this many times." Here’s how it works:

 

The Main Number:

This is the number you start with. It’s called the base. Think of it as the number you keep multiplying.

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The Little Number:

This is the small number above and to the right of the main number. It tells you how many times to multiply the base by itself. It’s called the exponent.

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How to Do It:

  • If the exponent is 3 (like in ):

You multiply 2 by itself three times:

 

  • If the exponent is 5 (like in ):

You multiply 3 by itself five times:

 

  • If the exponent is 1 (like in ):

You just have the number itself, because multiplying it once by itself is still the same number:

.

 

  • If the exponent is 0 (like in ):

Any number to the power of zero is 1. It's like a reset button that makes any big or small number turn into 1:

 

Example to try:

  • Let’s say you have (which reads as "four to the power of three"):

Multiply 4 by itself three times:

 

So, is 64.