Choose all the equations that are true.

□ $10 \times 10 \times 10 \times 10 \times 10=100,000$

□ $10 \times 10 \times 10 \times 10 \times 10=50$

□ $10 \times 10 \times 10 \times 10 \times 10=50,000$

□ $10 \times 10 \times 10 \times 10 \times 10=10^5$

□ $10 \times 10 \times 10 \times 10 \times 10=50,000$

Question

06-11-2026
Mathematics

Answered

Choose all the equations that are true.

□ $10 \times 10 \times 10 \times 10 \times 10=100,000$

□ $10 \times 10 \times 10 \times 10 \times 10=50$

□ $10 \times 10 \times 10 \times 10 \times 10=50,000$

□ $10 \times 10 \times 10 \times 10 \times 10=10^5$

□ $10 \times 10 \times 10 \times 10 \times 10=50,000$

Verified Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2026-11-06T09:11:28-05:00

The multiplication $10 \times 10 \times 10 \times 10 \times 10$ equals $100,000$.
Using exponents, this repeated multiplication is written as $10^5$.
Comparing this result to the provided options confirms the following true equations:
$\boxed{10 \times 10 \times 10 \times 10 \times 10 = 100,000}$ and $\boxed{10 \times 10 \times 10 \times 10 \times 10 = 10^5}$

Explanation

Calculate the product of the given expression

The goal is to determine the correct values of the mathematical expression $10 \times 10 \times 10 \times 10 \times 10$. We are multiplying the number 10 by itself a total of five times. To find the result, we can perform the multiplication step-by-step:
$10 \times 10 = 100$
$100 \times 10 = 1,000$
$1,000 \times 10 = 10,000$
$10,000 \times 10 = 100,000$
Thus, the product of the expression is $100,000$.

Express the calculation using exponents

Exponential notation is a shorthand way of writing repeated multiplication. When we multiply the same number by itself multiple times, we can express this as a base number raised to a power. The base is the number being multiplied (in this case, 10), and the exponent is the number of times it is being multiplied (in this case, 5). Therefore, the expression $10 \times 10 \times 10 \times 10 \times 10$ can be written as $10^5$. Since $10^5 = 100,000$, both representations are equivalent.

Evaluate the given equations

Now we compare our result with the provided options:

$10 \times 10 \times 10 \times 10 \times 10 = 100,000$ is TRUE.
$10 \times 10 \times 10 \times 10 \times 10 = 50$ is FALSE.
$10 \times 10 \times 10 \times 10 \times 10 = 50,000$ is FALSE.
$10 \times 10 \times 10 \times 10 \times 10 = 10^5$ is TRUE.
$10 \times 10 \times 10 \times 10 \times 10 = 50,000$ is FALSE.

Therefore, the true equations are the first and fourth ones.

Examples

Exponential notation is used everywhere in science and daily life to express very large or very small numbers compactly. For example, if you are looking at the distance between stars in kilometers or the number of bacteria in a culture, using powers of 10 makes the numbers much easier to read and work with. Knowing that $10^6$ is a million or $10^9$ is a billion helps in quickly understanding scales of measurements like data storage (megabytes, gigabytes) or population statistics.