Final answer:
The number "eight hundred two and four tenths" in standard form is 802.4, which combines the whole number 802 with the decimal part .4 representing the four tenths.
Step-by-step explanation:
The number "eight hundred two and four tenths" written in standard form is 802.4. This is a straightforward expression where 802 is the whole number part and 4 tenths represent the decimal part, which is .4 when written numerically.
To clarify using an example of standard notation and place value, let’s break down the number:
The digit 8 is in the hundreds place, so it represents 800.
The digit 0 is in the tens place, representing 0 tens or simply 0.
The digit 2 is in the ones place, representing 2 ones or just 2.
The digit 4 is in the tenths place after the decimal point, representing four tenths or .4.
Combining these, we write the complete number as 802.4, which is its expression in standard form.