Question

Write 567.4892 correct to (I)the nearest ten (II)2 decimal places

Answer 1

The answers are:

567.5

567.49

Work/explanation:

Before we start rounding, let me tell you about the rules for doing this.

Rounding Rules

How do we round a number correctly to the required number of decimal places? Where do we start? Well, there are two rules that will help us:

#1: if the number/decimal place is followed by a digit that is less than 5, then we simply drop that digit. This can be illustrated in the following example:

1.431 to the nearest tenth : 1.4

because, we need to round to 4, and 4 is followed by 3 which is less than 5, so we simply drop 3 and move on.

4.333 to the nearest hundredth : 4.33

because, the nearest hundredth is 2 decimal places.

#2: if the number/decimal place is followed by a digit that is greater than or equal to 5, then we drop the digit, but we add 1 to the previous digit. Let me show you how this actually works.

5.87 to the nearest tenth.

We drop 7 and add 1 to the previous digit, which is 8.

So we have,

5.8+1

5.9

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Now, we round 567.4892 to the nearest tenth:

567.5

because, the nearest tenth is 4, it's followed by 8, so we drop 8 and add 1 to 4 which gives, 567.5.

Now we round to 2 DP (decimal places):

567.49

Hence, the answer is 567.49

Answer 2

Explanation:

(I) To the nearest ten, we need to determine the multiple of 10 that is closest to 567.4892. Since 567.4892 is already an integer in the tens place, the digit in the ones place is not relevant for rounding to the nearest ten. We only need to look at the digit in the tens place, which is 8.

Since 8 is greater than or equal to 5, we round up to the next multiple of 10. Therefore, 567.4892 rounded to the nearest ten is 570.

(II) To 2 decimal places, we need to locate the third decimal place and determine whether to round up or down based on the value of the fourth decimal place. The third decimal place is 9, and the fourth decimal place is 2. Since 2 is less than 5, we round down and keep the 9. Therefore, 567.4892 rounded to 2 decimal places is 567.49.