A B C D
<----|-------------|------------|-----------|-------------|------------|---------|----->
25 26 27 28
Hint: What number does 𝜋 equal? Multiply by 8 to see which point it is closest to.
O. A
O. B
O. C
O. D
5 answers
To find the position of \( 8\pi \) on the number line, we first need to know the approximate value of \( \pi \). The commonly used approximation is:
\[ \pi \approx 3.14 \]
Now, we can calculate \( 8\pi \):
\[ 8\pi \approx 8 \times 3.14 = 25.12 \]
Next, we can compare this value to the options given on the number line:
Since \( 25.12 \) is closest to \( 25 \), the point on the number line that shows the position of \( 8\pi \) is:
O. A
To simplify the expression \( 2 \times 2^6 \), we can use the properties of exponents. Specifically, the property states that \( a^m \times a^n = a^{m+n} \).
In this case:
\[ 2 \times 2^6 = 2^1 \times 2^6 = 2^{1 + 6} = 2^7 \]
Thus, the expression \( 2 \times 2^6 \) is equivalent to \( 2^7 \).
The correct answer is:
2^7
To simplify the expression \(10f^8 g^9 \times 9f^4 g^9\), we will follow the rules of multiplication for coefficients and variables.
Multiply the coefficients: \[ 10 \times 9 = 90 \]
Combine the like terms for \(f\) using the property \(a^m \times a^n = a^{m+n}\): \[ f^8 \times f^4 = f^{8+4} = f^{12} \]
Combine the like terms for \(g\): \[ g^9 \times g^9 = g^{9+9} = g^{18} \]
Now, putting it all together, we have:
\[ 90f^{12}g^{18} \]
Thus, the simplified expression is:
\[ \boxed{90f^{12}g^{18}} \]
