Sure! To convert the number given in scientific notation [tex]\( 5 \times 10^5 \)[/tex] into standard notation, follow these steps:
1. Understand Scientific Notation: Scientific notation expresses a number as the product of a coefficient (in this case, 5) and a power of ten (in this case, [tex]\( 10^5 \)[/tex]).
2. Look at the Power of Ten: The exponent (5 in [tex]\( 10^5 \)[/tex]) tells you how many places to move the decimal point to the right. A positive exponent means moving the decimal point to the right.
3. Move the Decimal Point: Starting with the coefficient 5, we move the decimal point 5 places to the right.
- Start with 5.
- Move the decimal point 5 places to the right:
- First move: 50
- Second move: 500
- Third move: 5000
- Fourth move: 50000
- Fifth and final move: 500000
So, [tex]\( 5 \times 10^5 \)[/tex] in standard notation is:
[tex]\[ 500000 \][/tex]
Thus, the correct answer is:
500,000
