Partitioning Numbers to Ten Million

Year 6 MathsPlace Value5 pages

About this worksheet

Year 6 partitioning with numbers up to 10,000,000, over three pages with a full answer key. Pupils recombine 12 sums into single numbers, then write six numbers as standard partitions in a grid. Fifteen equations each hide one standard part, and two part-whole models hide another. The last page turns to non-standard partitions such as 4,250,000 = 4,100,000 + ___ and the value of single digits. The sheet writes large numbers with spaces, as the England National Curriculum does.

Page 1 of 5

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Curriculum objectives covered

Number - number and place value

โ€œRead, write, order and compare numbers up to 10 000 000 and determine the value of each digitโ€

Every section partitions seven-digit numbers. Questions 37 to 39 ask for the value of the 7 in 4,729,103, the 6 in 6,048,912 and the 3 in 8,931,405.

What's inside this worksheet

Warm Up: Recombining Partitions

Twelve sums to recombine, from 400,000 + 30,000 + 5,000 to 9,000,000 + 90,000 + 900 + 9. In the grid below, pupils write 1,234,000, 4,080,300 and four more numbers as standard partitions.

Level Up: Missing Standard Parts

Questions 13 to 27 each leave one place value part blank, as in 5,007,820 = 5,000,000 + ___ + 800 + 20. Two part-whole models for 2,405,000 and 7,030,600 each have one empty box.

Beat the Clock: Non-Standard Partitioning and Place Value

Nine non-standard partitions such as 1,500,000 = 1,200,000 + ___, three digit-value questions and a written task: partition 4,736,000 two ways and explain why the totals match.

Answers

All 40 answers, the completed grid and the two missing parts in the part-whole models.

How teachers use it

Zeros in the middle

Questions 8, 10 and 26 hide zeros inside the number, such as 5,007,820. Mark those three first; they show who still reads digits without their column.

Part-whole warm-up

Draw the 2,405,000 model on the board and empty a different box each time. Pupils call out the missing part before they start page 2.

Plenary

Collect answers to question 40 on the board. Six different non-standard partitions of 4,736,000 side by side show that the total never changes.

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