Rounding 7-digit numbers to the nearest million | Maths

Starter quiz

What is the next multiple of one million after six million?
- 5,000,000
- 5,100,000
- 6,100,000
- 7,000,000 ✓
- 8,000,000
Round 3,604 to the nearest multiple of one thousand.
- '4,000' ✓
Round 3,604 to the nearest multiple of one hundred.
- '3,600' ✓
Round 28,000 to the nearest multiple of ten thousand.
- '30,000' ✓
Lucas thinks of a number. His number rounds is 6,000 when rounded to the nearest multiple of one thousand. What is the smallest integer that his number could be?
- 5,000
- 5,499
- 5,500 ✓
- 5,600
- 6,100
Lucas thinks of a number. His number rounds is 6,000 when rounded to the nearest multiple of one thousand. What is the greatest integer that his number could be?
- 5,900
- 6,100
- 6,499 ✓
- 6,500

Exit quiz

Which of these statements include rounded values?
- People sleep for approximately 3,000 hours each year ✓
- The average price of a house is £310,000 ✓
- The height of the mountain Ben Nevis is 1,345 metres above sea level.
Look at the section of number line. The previous multiple of one million to ‘A’ is ______
- '3,000,000 ' ✓
Look at the number line. ‘A’ is ______ when rounded to the nearest multiple of one million.
- '4,000,000' ✓
Complete the sentence: 4,602,001 is ______ when rounded to the nearest one million.
- '5,000,000' ✓
Match the number to its rounded value when rounded to the nearest multiple of one million.
- 1,099,999
  
  ⇔
  
  1,000,000 ✓
- 1,500,000
  
  ⇔
  
  2,000,000 ✓
- 2,750,092
  
  ⇔
  
  3,000,000 ✓
- 3,500,000
  
  ⇔
  
  4,000,000 ✓
- 4,598,100
  
  ⇔
  
  5,000,000 ✓
Lucas thinks of a number. His number is 9,000,000 when rounded to the nearest multiple of one million. What is the greatest integer that his number could be?
- '9,499,999' ✓

Worksheet

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Presentation

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Lesson Details

Key learning points

Sometimes numbers are rounded as approximations or to give an estimate or average.
To round to the nearest multiple of 1,000,000 identify the previous and next multiples of one million and the midpoint.
When we round to the nearest multiple of one million, the critical digit is the 100,000s digit.
If the critical digit is a 4 or less, we round to the previous multiple of one million.
If the critical digit is a 5 or more, we round to the next multiple of one million.

Common misconception

Children may not understand the concept of 'nearest multiple of 1,000,000'

The nearest multiple of 1,000,000 is the multiple of 1,000,000 that a given letter or number is closest to. If a number is before than the midpoint, this will be the previous multiple and if it is after, this will be the next multiple.

Keywords

Round - When we round, we make a number simpler but keep its value close to what it was. The result is less accurate, but easier to use.
Midpoint - The midpoint is the middle of something, in this case the middle of two points on a number line. It is the point halfway between two things, or numbers.
Multiple - A multiple is result of multiplying a number by an integer.
Critical - Something that is critical has crucial importance.