Grasp Maths

Year 5

Round any number up to 1,000,000 to the nearest 10, 100, 1000, 10,000 and 100,000

Round large whole numbers accurately by checking the place to the right of the one being rounded.

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Lesson overview

Number - number and place value

Rounding means finding a nearby number that is easier to use. First decide which place you are rounding to. Then check the place to the right. It tells you whether to round down or round up.

Round to the nearest 1,000

348,251 rounds to 348,000 because 251 is less than 500.

Check whether the number is below or above the halfway point.

Round to the nearest 10,000

671,800 rounds to 670,000 because it is less than 675,000.

The halfway point decides whether you go up or down.

Round to the nearest 100,000

549,999 rounds to 500,000 because it is below 550,000.

For large numbers, focus on the target place and the halfway point.

Worked example

Round 482,741 to the nearest 10,000.

  1. Find the nearest ten thousands around the number.
  2. 482,741 sits between 480,000 and 490,000.
  3. The halfway point is 485,000.
  4. 482,741 is below halfway, so it rounds to 480,000.

Round 1: Learn it

Check which place you are rounding to before you decide whether the number goes up or down.

Finish this round to unlock Round 2: Show you know it.

Question 1

Round 348,251 to the nearest 1,000.

Question 2

Round 671,800 to the nearest 10,000.

Question 3

Round 549,999 to the nearest 100,000.

Question 4

Which number rounds to 720,000 to the nearest 10,000?

Question 5

Round 482,741 to the nearest 10,000.

Common mistakes

Watch for these as you work through the lesson.

  • Rounding to the wrong place.
  • Looking at the wrong digit when deciding whether to round up or down.
  • Changing digits that should stay the same.

Related topics

These ideas connect closely to this lesson.

  • Read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit.
  • Solve number problems and practical problems that involve all of the above.

Practice next

Independent practice will plug in here

This lesson teaches the pattern first. Deeper Year 5 practice can connect here later.