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Multiplication is one of the basic operations in math. It's essentially repeated addition. When we multiply two numbers, we are adding one of the numbers to itself a certain number of times.
For example, 3 multiplied by 4 (written as 3 × 4) is the same as adding 3 four times: 3 + 3 + 3 + 3 = 12.
Multiplication becomes really handy when dealing with powers of 10 because it simplifies the process of repeatedly adding the same number.

Exponents are a way to write repeated multiplication of the same number. The number being multiplied is called the base, and the exponent tells us how many times to multiply the base by itself.
For example, in the notation 10⁴, the base is 10 and the exponent is 4. This means we multiply 10 by itself 4 times: 10 × 10 × 10 × 10. This results in 10000.
Exponents make it easier to express very large or very small numbers without writing them out in full.

In exponential notation, we have two main parts: the base and the exponent. The base is the number that gets multiplied, and the exponent tells us how many times it gets multiplied by itself.
For instance, in 10⁴:

• The base is 10
• The exponent is 4

This lets us know that we need to multiply 10 by itself 4 times: 10 × 10 × 10 × 10.
Understanding base and exponent is crucial for working with powers of 10 and other exponential forms. It allows us to quickly grasp how large or small a number is by looking at just two digits.