Question

Which number, when rounded to the nearest whole number and to the nearest tenth, rounds to the same value?

a) 1.63
b) 4.95
c) 5.46
d) 2.12

Answer 1

The number that, when rounded to the nearest whole number and to the nearest tenth, rounds to the same value is 4.95. This is because both rounding operations result in the number 5.

Step-by-step explanation:

The question focuses on finding which number, when rounded to the nearest whole number and to the nearest tenth, would round to the same value. Here are the steps to find the correct answer:

• Rounding to the nearest whole number means looking at the tenth place. If the digit in the tenth place is 5 or more, we round up. If it's 4 or less, we round down.
• Rounding to the nearest tenth is similar, but we only consider the digit in the hundredth place to determine whether to round the tenth's place up or down.

Let's examine each option:

1. 1.63: Rounding to the nearest whole number gives us 2 (since 6 is greater than 5). Rounding to the nearest tenth is 1.6 (since 3 is less than 5).
2. 4.95: Rounding to the nearest whole number gives us 5 (since 9 is greater than 5). Rounding to the nearest tenth is also 5.0 (since 5 at the hundredth place rounds up).
3. 5.46: Rounding to the nearest whole number gives us 5 (since 4 is less than 5). Rounding to the nearest tenth is 5.5 (since 6 is greater than 5).
4. 2.12: Rounding to the nearest whole number gives us 2 (since 1 is less than 5). Rounding to the nearest tenth is 2.1 (since 2 is less than 5).

Therefore, the correct answer is option b) 4.95, which rounds to 5 whether it's to the nearest whole number or to the nearest tenth.