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# Copyright © Mathematics Mastery 2017
Unit 1: Reasoning with 4-digit numbers (Week 2 of 2)
Parental Guidance
Pupils extend their understanding of the number system and place value to include 4-digit numbers. This week explores rounding 4-digit numbers to the nearest 10, 100 and 1000.
In Year 3 pupils rounded 3-digit numbers to the nearest 10 and 100.
In Year 5 pupils will round 5-digit and 6-digit numbers to the nearest 10, 100, 1000, 10 000 and 100 000.
Rounding to the nearest 1000
Rounding 3762 to the nearest 1000
Find the two nearest multiples of 1000
Write the mid-point between the two multiples of 1000
Estimate the position of the number on the number line
Decide which is the nearer multiple of 1000
When rounding, avoid using positional language such as “round up/down”. Instead, say “round to the nearest multiple of…”
3000
4000
3000
4000
3500
3000
4000
3500
3762
3000
4000
3500
3762
The closest multiples are 3000 and 4000.
The mid point between 3000 and 4000. If the number is 3500 or greater, it will round to 4000. If it is less than 3500 it will round to 3000.
The closest multiple of 1000 is 4000. 3762 rounded to the nearest multiple of 1000 is 4000.