The number 0,960 is larger than the number 0.962.
True
False
The correct answer and explanation is:
The correct answer is False.
To compare 0.960 and 0.962, start by looking at the digits from left to right. In decimal numbers, the digits to the right of the decimal point are what define their magnitude. Both numbers start with “0.” The first significant digit is in the tenths place, which is a 9 in both cases. Moving to the hundredths place, we see that the number 0.960 has a 6, while the number 0.962 has a 6 as well.
Now, look at the thousandths place. The number 0.960 ends in 0, while the number 0.962 ends in 2. Since 2 is greater than 0, 0.962 is larger than 0.960.
Another way to understand this is by considering that 0.960 is the same as 0.9600. The trailing zero does not change the value of the number, but it helps make the comparison clearer. By examining the digits in each place, we can see that 0.9600 is smaller than 0.9620, so the number 0.962 is indeed larger.
In decimal notation, the further right you go, the smaller the units represented by each digit, which is why comparing the thousandths place is crucial in this case. In this scenario, 0.962 is clearly greater than 0.960, so the statement that 0.960 is larger than 0.962 is False.