Compare tenths digits first: 0.8 has 8 tenths, 0.75 has 7 tenths, 0.100 has 1 tenth, 0.09 has 0 tenths. So 0.8 > 0.75 > 0.100 > 0.09. A common misconception is that 0.100 is largest because it has the most digits — but digits after the decimal must be compared position by position, not as whole numbers.
Question 2 True / False
0.30 is greater than 0.3 because 30 is greater than 3.
TTrue
FFalse
Answer: False
0.30 and 0.3 are exactly equal — both represent 3 tenths. The trailing zero after the 3 adds no value; it just shows the hundredths place is empty. As fractions: 0.30 = 30/100 = 3/10 = 0.3. Treating the digits after the decimal as a whole number (comparing 30 and 3) is a classic misconception that ignores place value.
Question 3 Short Answer
In the number 4.739, what is the value (not just the digit) of the 3?
Think about your answer, then reveal below.
Model answer: 3 hundredths, or 0.03
The 3 is in the hundredths position — the second digit to the right of the decimal point. Its value is 3 × (1/100) = 3/100 = 0.03. Knowing the digit (3) is not enough; you must know the position to know the value.