Solve the Basic Multiplication: 10×10 = ?

Question

Solve the following equation:

10×10= 10\times10=

Video Solution

Solution Steps

00:00 Simplify the following problem
00:03 Let's look at possible solutions to the question
00:07 First solution - let's simply calculate
00:10 Now let's look at another solution method
00:14 Any number to the power of 1 is always equal to itself (A)
00:17 Let's apply this formula to our exercise, and raise each number to the power of 1
00:21 According to the laws of exponents, the multiplication of powers with an equal bases (A)
00:25 equals the same base raised to the sum of the exponents (N+M)
00:29 Let's apply this formula to our exercise
00:33 We'll add up the exponents and raise them to this power
00:37 These are the possible solutions to the question

Step-by-Step Solution

To solve this problem, let’s follow the outlined steps:

  • Step 1: Calculate 10×10 10 \times 10 .
  • Step 2: Express the calculation using exponent rules.
  • Step 3: Verify the possible expressions match the given choices.

Now, let's work through each step:
Step 1: The direct multiplication of 10 by 10 yields 100 100 because 10×10=100 10 \times 10 = 100 .
Step 2: We can express this calculation using the rules of exponents. Since both numbers are 10 and multiplied together: 101×101=101+1=102 10^1 \times 10^1 = 10^{1+1} = 10^2 .
Step 3: We consider the following expressions given in the multiple-choice answers:
- Choice 1: 101+1 10^{1+1} equals 102 10^2 .
- Choice 2: 102 10^2 equals 100.
- Choice 3: 100 is the result of the direct multiplication.

Each choice is consistent with the others through these steps. Thus, all the provided expressions—101+1 10^{1+1} , 102 10^2 , and 100—accurately represent the resolved equation 10×10 10 \times 10 .

Therefore, the solution to the problem is All answers are correct.

Answer

All answers are correct