The number 0.960 is larger than the number 0.0962
a. True
b. False
The correct answer and explanation is:
The correct answer is a. True.
When comparing numbers with decimal places, it’s important to focus on the position of each digit. In this case, we are comparing 0.960 and 0.0962. To make the comparison clearer, we can break both numbers down.
0.960 is equivalent to 960 thousandths, which means it is the same as 0.960000 when expressed with four decimal places. This number represents almost one whole, with only a slight fraction missing.
On the other hand, 0.0962 is equivalent to 962 ten-thousandths. In decimal form, it can be written as 0.0962 or 0.096200 when expressed with four decimal places. This number is much smaller than 0.960.
To compare the two values, we start by looking at the first digit after the decimal point. The first digit of 0.960 is 9, while the first digit of 0.0962 is 0. This already shows that 0.960 is greater than 0.0962, as the digit in the hundredths place for 0.960 is far larger than the same place for 0.0962.
In general, when comparing numbers with decimals, the greater the digit in the first few places, the larger the value. So, it’s clear that 0.960 is indeed larger than 0.0962.