Question

Round your answers to one decimal place to 0.105

a) 0.1
b) 0.11
c) 0.10
d) 0.11

Answer 1

To round the number 0.105 to one decimal place, we look at the digit in the tenths place. Since 0 is less than 5, we round down to 0.1.

Step-by-step explanation:

In this question, we need to round the number 0.105 to one decimal place. To do this, we look at the digit in the tenths place, which is 0. Since 0 is less than 5, we round down, resulting in an answer of 0.1

Therefore, the correct answer is a) 0.1

Answer 2

The question is about rounding numbers to a certain number of decimal places or significant figures. It involves mathematical operations like rounding down when dropping a digit that is 4 or lower, and rounding up when it is higher than 5. Various examples illustrate how to perform these operations.

Step-by-step explanation:

The concept in question is about rounding numbers to a specified number of significant figures or decimal places. This is a mathematical operation that is often used to simplify numbers, particularly when the precision of the numbers is more detailed than needed for practical purposes or when reporting data to a consistent level of precision.

1. Rounding 0.105 to one decimal place: The correct answer to this is 0.1. We look at the second digit (0) after the decimal point, if this digit is 4 or lower, we round down, so 0.105 becomes 0.1.
2. Applying significant figures: When rounding 201.867 to the hundredths place, the digit to the right of hundredths is 7, which means we round up to 201.87.
3. Variables in significant figures: In expressions like 119.902 where the final answer must be rounded to the tenths place, it becomes 119.9 after rounding down.

To practice rounding numbers, consider the examples:

• Round 0.424 to two significant figures: 0.42
• Round 0.0038661 to three significant figures: 0.00387