Question
7. \( 56.98 \times 1000 \) 8. \( 24.575 \times 50 \) 9. \( 2.25 \times 25 \)
Ask by Daniel Howell. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
**7. \( 56.98 \times 1000 = 56980 \)**
**8. \( 24.575 \times 50 = 1228.75 \)**
**9. \( 2.25 \times 25 = 56.25 \)**
Solution
**7. \( 56.98 \times 1000 \)**
Multiplying by 1000 shifts the decimal point three places to the right:
\[
56.98 \times 1000 = 56980
\]
---
**8. \( 24.575 \times 50 \)**
One method is to recognize that multiplying by 50 is equivalent to multiplying by 100 and then dividing by 2:
\[
24.575 \times 50 = \frac{24.575 \times 100}{2} = \frac{2457.5}{2} = 1228.75
\]
---
**9. \( 2.25 \times 25 \)**
We can multiply directly:
\[
2.25 \times 25 = 2.25 \times (20 + 5) = (2.25 \times 20) + (2.25 \times 5)
\]
Calculate each term:
\[
2.25 \times 20 = 45 \quad \text{and} \quad 2.25 \times 5 = 11.25
\]
Adding these:
\[
45 + 11.25 = 56.25
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Mind Expander
To calculate \( 56.98 \times 1000 \), simply shift the decimal point three places to the right. This gives you \( 56980 \). For \( 24.575 \times 50 \), consider breaking it down: \( 24.575 \times 50 = 24.575 \times (100/2) = (24.575 \times 100) / 2 = 2457.5 / 2 = 1228.75 \). Finally, \( 2.25 \times 25 \) can be calculated as \( 2.25 \times (20 + 5) = (2.25 \times 20) + (2.25 \times 5) = 45 + 11.25 = 56.25 \).
