Rounding seven-digit numbers to any power of 10
Lesson details
Learning outcome
I can round seven-digit numbers to the any power of 10
Key learning points
- Identify the digit in the place value place the number is being rounded to - then find the previous and next multiples.
- Then identify the digit to the right of this - this is the critical digit.
- If the critical digit is a four or less, we round to the previous multiple.
- 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.
Teacher tip
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'.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Look at this sequence of numbers. What would come next? 4,300,000 4,400,000 4,500,000
Q2.Complete: 2,490,000 is when rounded to the nearest multiple of one million.
Q3.Match the number to its rounded value when rounded to the nearest multiple of one million.
Q4.Select all the correct options. 139,000 is a multiple of ___
Q5.Complete: 539,000 is when rounded to the nearest multiple of 100,000
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?
Assessment exit quiz
6 Questions
Q1.Look at the number line. The next multiple of 100,000 after ‘A’ is
Q2.Look at the number line. ‘A’ is when rounded to the nearest multiple of 100,000
Q3.Complete: 4,602,001 is when rounded to the nearest 100,000
Q4.Match the number to its rounded value when rounded to the nearest multiple of 100,000
Q5.2,349,530 is 2,350,000 when rounded to the nearest multiple of ___
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?
To help you plan your 6 maths lesson on: Rounding seven-digit numbers to any power of 10, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Rounding seven-digit numbers to any power of 10, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Rounding and solving problems with numbers up to 7 digits unit, dive into the full primary maths curriculum, or learn more about lesson planning.