To write the number "eight and ninety-three hundredths" in standard decimal form, follow these steps:
1. Identify the whole number part:
The phrase "eight" refers to the whole number part of the number. This gives us the integer 8.
2. Identify the fractional part:
The phrase "ninety-three hundredths" refers to the fractional part of the number. To express this fraction in standard decimal form, understand that "hundredths" means the fraction is out of 100. Hence, "ninety-three hundredths" translates to [tex]\( \frac{93}{100} \)[/tex].
3. Convert the fraction to decimal form:
[tex]\[ \frac{93}{100} = 0.93 \][/tex]
4. Combine the whole number part and the fractional part:
Combine the integer part 8 and the decimal part 0.93 to form the final number.
Thus, "eight and ninety-three hundredths" written in standard decimal form is [tex]\( 8.93 \)[/tex].