Numerical Equality: Finding the Expression Equal to 100

Video Solution

Solution Steps

00:00 Which of the sections equals 100?

00:06 Let's break down 5 squared

00:09 Let's solve one multiplication at a time and then continue

00:13 This is the solution for the first section

00:17 Let's use the same method for the remaining sections

00:21 This is the solution for the second section

00:26 Let's break down the third section

00:35 This is the solution for the third section

00:38 Let's continue to the fourth section

00:49 And this is the solution to the question

Step-by-Step Solution

To determine which expression equals 100, we need to evaluate each option:

Option 1: $5^2\cdot5$
- Calculate $5^2 = 25$ .
- Then compute $25 \cdot 5 = 125$ .
Option 2: $4^2\cdot4$
- Calculate $4^2 = 16$ .
- Then compute $16 \cdot 4 = 64$ .
Option 3: $25^4$
- Calculate $(25^4)$ , which simplified through breakdown is larger than 100 because $25^2 = 625$ . Hence this 25 to the power of 4 will definitely be much larger than 100.
Option 4: $5^2\cdot2^2$
- Calculate $5^2 = 25$ .
- Calculate $2^2 = 4$ .
- Compute $25 \cdot 4 = 100$ .

Therefore, the expression in Option 4, $5^2\cdot2^2$ , equals 100. Thus, the correct choice is 4.

Thus, the clause that equals 100 is $5^2\cdot2^2$ .