Video: GCSE Mathematics Foundation Tier Pack 5 • Paper 1 • Question 2

GCSE Mathematics Foundation Tier Pack 5 • Paper 1 • Question 2

01:52

Video Transcript

Round 14.5699 accurate to three decimal places.

In order to round any number to three decimal places, we need to ensure that there are three numbers after the decimal point. If the number after this point is less than five, we round down. If it is five or greater, we round up.

In this case, as nine is greater than five, we’ll round up. Rounding up in this case causes us a problem as nine plus one is equal to 10. And we can only put one digit in each place value column. This means we need to carry the one and increase the six nine or 69 by one. This gives us 70 or seven zero.

Therefore, 14.5699 rounded to three decimal places is 14.570.

Whilst the zero at the end doesn’t affect the size of the number, it is important that we have three numbers after the decimal point in our answer.

An alternative method to solve this problem would be to consider the number line between 14.569 and 14.570. The midpoint of these two numbers is 14.5695. Our number 14.5699 is larger than this. Therefore, it is closer to 14.570.

Once again, we can say that 14.5699 rounded to three decimal places is 14.570.