Questions: A group of storage silos can hold enough cocoa beans to make 5.7 billion chocolate bars. Write 5.7 billion in standard notation.
5.7 billion = □
Transcript text: A group of storage silos can hold enough cocoa beans to make 5.7 billion chocolate bars. Write 5.7 billion in standard notation.
5.7 billion $=$ $\square$
Solution
Solution Steps
To convert 5.7 billion into standard notation, we need to understand that "billion" refers to 10^9. Therefore, 5.7 billion is equivalent to 5.7 multiplied by 10^9.
Step 1: Understanding Billion
A billion is defined as \( 10^9 \). Therefore, when we refer to "5.7 billion," we can express it mathematically as:
\[
5.7 \text{ billion} = 5.7 \times 10^9
\]
Step 2: Calculating Standard Notation
To convert \( 5.7 \times 10^9 \) into standard notation, we perform the multiplication:
\[
5.7 \times 10^9 = 5700000000
\]
Final Answer
Thus, in standard notation, \( 5.7 \) billion is represented as: