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.
Here’s the explanation:
To compare decimal numbers, it’s helpful to align the numbers by their decimal points and examine the values starting from the leftmost digit.
The first number is 0.960, and the second number is 0.0962. Let’s break them down:
- 0.960 has three digits after the decimal point: 9, 6, and 0.
- 0.0962 has four digits after the decimal point: 0, 9, 6, and 2.
Now, if we compare the two numbers, we can start from the leftmost digit, which is the tenths place. For 0.960, the first digit is 9, and for 0.0962, the first digit is 0. Since 9 is greater than 0, 0.960 is clearly larger than 0.0962.
To make sure both numbers are in the same format, we can write 0.960 as 0.9600, essentially adding a 0 to the end of the number. This doesn’t change its value but helps in direct comparison. So now we are comparing 0.9600 with 0.0962. The first digit comparison (9 vs. 0) confirms that 0.9600 is indeed greater.
In summary, 0.960 is larger than 0.0962 because the first significant digit in 0.960 is much larger than the first significant digit in 0.0962, making it the larger number.