New
New
Year 6

Rounding seven-digit numbers to any power of 10

I can round seven-digit numbers to the any power of 10

New
New
Year 6

Rounding seven-digit numbers to any power of 10

I can round seven-digit numbers to the any power of 10

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Lesson details

Key learning points

  1. Identify the digit in the place value place the number is being rounded to - then find the previous and next multiples.
  2. Then identify the digit to the right of this - this is the critical digit.
  3. If the critical digit is a four or less, we round to the previous multiple.
  4. If the critical digit is a five of more, we round to 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.

  • Critical - Something that is critical has crucial importance.

Common misconception

Mistakes may be made when identifying the previous multiple of the power of 10 or when giving the rounded answer (missing off any digits that have a larger value).

Use numbers lines, the stem sentences and learning about the critical digit to support children to identify previous multiples and when giving their answer.

Check that children are secure with their place value and identifying multiples of powers of 10 and finding the midpoints of these multiples. Encourage the use of number lines until children are secure. Take care pronouncing 'round' so children do not confuse it with 'around'.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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6 Questions

Q1.
Look at this sequence of numbers. What would come next? 4,300,000 4,400,000 4,500,000
Correct Answer: 4,600,000 , 4600000
Q2.
Complete: 2,490,000 is when rounded to the nearest multiple of one million.
Correct Answer: 2,000,000, 2000000
Q3.
Match the number to its rounded value when rounded to the nearest multiple of one million.
Correct Answer:999,999,1,000,000

1,000,000

Correct Answer:4,499,999,4,000,000

4,000,000

Correct Answer:4,501,000,5,000,000

5,000,000

Correct Answer:5,550,005,6,000,000

6,000,000

Correct Answer:6,999,999,7,000,000

7,000,000

Q4.
Select all the correct options. 139,000 is a multiple of ___
Correct answer: 10
Correct answer: 100
Correct answer: 1,000
10,000
1,000,000
Q5.
Complete: 539,000 is when rounded to the nearest multiple of 100,000
Correct Answer: 500,000, 500000
Q6.
Lucas thinks of a number. His number is 10,000 when rounded to the nearest one thousand. What is the smallest integer that his number could be?
8,500
9,499
Correct answer: 9,500
10,499
10,500

6 Questions

Q1.
Look at the number line. The next multiple of 100,000 after ‘A’ is
An image in a quiz
Correct Answer: 6,000,000 , 6000000
Q2.
Look at the number line. ‘A’ is when rounded to the nearest multiple of 100,000
An image in a quiz
Correct Answer: 6,000,000, 6000000
Q3.
Complete: 4,602,001 is when rounded to the nearest 100,000
Correct Answer: 4,600,000
Q4.
Match the number to its rounded value when rounded to the nearest multiple of 100,000
Correct Answer:1,049,999,1,000,000

1,000,000

Correct Answer:1,099,999,1,100,000

1,100,000

Correct Answer:1,150,000,1,200,000

1,200,000

Correct Answer:1,250,092 ,1,300,000

1,300,000

Correct Answer:1,350,111,1,400,000

1,400,000

Q5.
2,349,530 is 2,350,000 when rounded to the nearest multiple of ___
10
100
Correct answer: 1,000
Correct answer: 10,000
100,000
Q6.
Lucas thinks of a number. His number is 543,000 when rounded to the nearest 1,000 What is the smallest that his number could be?
Correct Answer: 542,500, 542500