Which of these is the greatest decimal number?
Answer and explanation
Correct answer: (0.7501)
To compare decimals, compare digits from left to right, giving equal place value to each number by adding zeros when necessary. Write the numbers as 0.7500, 0.7050, 0.5700, and 0.7501. The first three digits of 0.7500 and 0.7501 are equal, but at the fourth decimal place, 1 is greater than 0. Therefore 0.7501 is greater than 0.7500, so choice D is correct.
Notice that 0.75 and 0.7500 have exactly the same value; adding zeros at the end does not change a decimal. However, 0.7501 has an additional positive amount, one ten-thousandth, so it is slightly larger. The number 0.705 is smaller because its hundredths digit is 0, and 0.57 is smaller still because its tenths digit is 5 rather than 7.
Frequently asked questions
What is the correct answer to this question?
(0.7501)
Why is this the correct answer?
To compare decimals, compare digits from left to right, giving equal place value to each number by adding zeros when necessary. Write the numbers as 0.7500, 0.7050, 0.5700, and 0.7501. The first three digits of 0.7500 and 0.7501 are equal, but at the fourth decimal place, 1 is greater than 0. Therefore 0.7501 is greater than 0.7500, so choice D is correct.
Notice that 0.75 and 0.7500 have exactly the same value; adding zeros at the end does not change a decimal. However, 0.7501 has an additional positive amount, one ten-thousandth, so it is slightly larger. The number 0.705 is smaller because its hundredths digit is 0, and 0.57 is smaller still because its tenths digit is 5 rather than 7.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.
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