Question
(o) Use four 9 s to express 100.
Ask by Harper Gray. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
To express 100 using four 9s, you can use the equation \(99 + \frac{9}{9} = 100\).
Solution
To express 100 using four 9s, we can use mathematical operations. Here’s a step-by-step breakdown:
1. **Start with the number 9**: We have four 9s to work with.
2. **Use basic operations**: We can use addition, multiplication, and parentheses to combine the 9s.
One way to express 100 using four 9s is:
\[
99 + \frac{9}{9} = 100
\]
### Explanation of the Steps:
- **99** is formed by combining two 9s: \(9 \times 10 + 9 \times 1 = 90 + 9 = 99\).
- **\(\frac{9}{9}\)** equals 1, which we can add to 99 to reach 100.
Thus, the expression \(99 + \frac{9}{9}\) effectively uses four 9s to equal 100.
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Simplify this solution The Deep Dive
One clever way to use four 9s to express 100 is by combining arithmetic operations. You can do this by setting up the following expression: \( (99 + \frac{9}{9}) \). Here, \( 99 \) utilizes two of the 9s and \( \frac{9}{9} \) uses the other two, which equals 1. When you add these together, you get \( 99 + 1 = 100 \). A creative mathematical twist! Another fun approach is to think outside the box and consider using higher mathematical functions. For instance, \( 9 \times 9 + (9 / 9) \) works too. Here, you multiply 9 by itself to get 81, then add 1 as \( 9 divided by 9 \) is 1, giving you \( 81 + 1 = 100 \). It’s all about having fun with numbers!
