Write in exponent form and word form 10x10x10
The Correct Answer and Explanation is :
Exponent Form:
The expression ( 10 \times 10 \times 10 ) can be written as ( 10^3 ) in exponent form.
Word Form:
In word form, this is read as “ten cubed” or “ten to the third power.”
Explanation (300 Words):
To express ( 10 \times 10 \times 10 ) in exponent form, we need to understand the concept of exponents. An exponent indicates how many times a number (the base) is multiplied by itself. In this case, the base is 10, and it is multiplied three times:
[
10 \times 10 \times 10
]
This can be written as ( 10^3 ), where the base (10) is raised to the exponent (3), which tells us the base is multiplied by itself three times. In simple terms:
[
10^3 = 10 \times 10 \times 10
]
When you multiply these numbers together, the result is:
[
10 \times 10 = 100
]
[
100 \times 10 = 1,000
]
So, ( 10^3 = 1,000 ).
In word form, ( 10^3 ) is pronounced “ten cubed” or “ten to the third power.” The word “cubed” refers to the number 3 as the exponent, which is a common mathematical term used when raising a number to the power of three. This is analogous to finding the volume of a cube, where the side length is multiplied by itself three times to get the volume.
Exponents are a helpful way to write large numbers more concisely. Instead of writing out the full multiplication, using an exponent (like ( 10^3 )) simplifies the expression and makes it easier to understand and work with in calculations. Exponentiation is fundamental in various fields of science and mathematics, such as algebra and physics, to express large quantities compactly.