Answer :
Certainly! Let's go through each of the calculations step by step.
### Problem 14: Calculate [tex]\( 52^2 \)[/tex] and [tex]\( 52 \times 3 \)[/tex]
1. Step-by-Step Solution for [tex]\( 52^2 \)[/tex]:
- To find [tex]\( 52^2 \)[/tex], we multiply 52 by itself.
- Result: [tex]\( 52 \times 52 = 2704 \)[/tex]
2. Step-by-Step Solution for [tex]\( 52 \times 3 \)[/tex]:
- To find [tex]\( 52 \times 3 \)[/tex], we multiply 52 by 3.
- Result: [tex]\( 52 \times 3 = 156 \)[/tex]
So, for Problem 14, we have:
- [tex]\( 52^2 = 2704 \)[/tex]
- [tex]\( 52 \times 3 = 156 \)[/tex]
### Problem 15: Calculate [tex]\( 97^2 \)[/tex]
1. Step-by-Step Solution for [tex]\( 97^2 \)[/tex]:
- To find [tex]\( 97^2 \)[/tex], we multiply 97 by itself.
- Result: [tex]\( 97 \times 97 = 9409 \)[/tex]
So, for Problem 15, we have:
- [tex]\( 97^2 = 9409 \)[/tex]
### Problem 16: Given 235
1. Step-by-Step Solution for 235:
- No calculation is needed as the number is simply given directly.
- Result: [tex]\( 235 \)[/tex]
So, for Problem 16, we have:
- The given number is [tex]\( 235 \)[/tex]
### Summary of Results:
- Problem 14:
- [tex]\( 52^2 = 2704 \)[/tex]
- [tex]\( 52 \times 3 = 156 \)[/tex]
- Problem 15:
- [tex]\( 97^2 = 9409 \)[/tex]
- Problem 16:
- The given number is [tex]\( 235 \)[/tex]
I hope this helps clarify the solutions for each problem!
### Problem 14: Calculate [tex]\( 52^2 \)[/tex] and [tex]\( 52 \times 3 \)[/tex]
1. Step-by-Step Solution for [tex]\( 52^2 \)[/tex]:
- To find [tex]\( 52^2 \)[/tex], we multiply 52 by itself.
- Result: [tex]\( 52 \times 52 = 2704 \)[/tex]
2. Step-by-Step Solution for [tex]\( 52 \times 3 \)[/tex]:
- To find [tex]\( 52 \times 3 \)[/tex], we multiply 52 by 3.
- Result: [tex]\( 52 \times 3 = 156 \)[/tex]
So, for Problem 14, we have:
- [tex]\( 52^2 = 2704 \)[/tex]
- [tex]\( 52 \times 3 = 156 \)[/tex]
### Problem 15: Calculate [tex]\( 97^2 \)[/tex]
1. Step-by-Step Solution for [tex]\( 97^2 \)[/tex]:
- To find [tex]\( 97^2 \)[/tex], we multiply 97 by itself.
- Result: [tex]\( 97 \times 97 = 9409 \)[/tex]
So, for Problem 15, we have:
- [tex]\( 97^2 = 9409 \)[/tex]
### Problem 16: Given 235
1. Step-by-Step Solution for 235:
- No calculation is needed as the number is simply given directly.
- Result: [tex]\( 235 \)[/tex]
So, for Problem 16, we have:
- The given number is [tex]\( 235 \)[/tex]
### Summary of Results:
- Problem 14:
- [tex]\( 52^2 = 2704 \)[/tex]
- [tex]\( 52 \times 3 = 156 \)[/tex]
- Problem 15:
- [tex]\( 97^2 = 9409 \)[/tex]
- Problem 16:
- The given number is [tex]\( 235 \)[/tex]
I hope this helps clarify the solutions for each problem!