The process of unitising and exchanging between place values is known as regrouping. For example, 10 tens can be regrouped for one hundred; one hundred can be regrouped for 10 tens.

Solving problems using column addition and subtraction

Maths

Determine the value of digits in numbers up to 10 million

Compare numbers with up to eight digits

Use knowledge of the composition of seven-digit numbers to solve problems

Add and subtract mentally without bridging a boundary

Add multiples of powers of 10 crossing the millions boundary

Subtract multiples of powers of 10 crossing the millions boundary

Composition of seven-digit numbers

Using patterns in counting sequences

Estimate and identify numbers on number lines

In this unit pupils will estimate the value and position of numbers, including negative numbers, on unmarked or partially marked number lines and calculate intervals across 0. In the future unit pupils will use their knowledge of the composition of seven-digit numbers to solve problems, adding and subtracting numbers whilst crossing the millions boundary.

 In the prior unit pupils identified and placed the position of 6-digit multiple of one thousand numbers on a marked, but unlabelled, number line. They read scales by using their knowledge of the composition of 10000 and 100000. In this unit pupils will use representations to identify and explain patterns in powers of 10 and read numbers with up to 7 digits efficiently.

In this unit pupils will use representations to identify and explain patterns in powers of 10 and read numbers with up to 7 digits efficiently. They will order and compare numbers with up to 8 digits and calculate with numbers of this scale.

Order, compare and calculate with numbers up to 8 digits

Calculate the sum of 3,409,807 and 2,610,155   You may wish to use a column method.

Calculate the difference between 5,682,743 and 1,225,130   You may wish to use a column method.

Find the combined total of 1,246,982 and 391,011    You may wish to use a column method.

Calculate how much more 3,629,980 is than 245,561

Aisha wins 1,354,906 points in a game then wins another 64,002 points and finally wins another 305,690 points. How many points has she won altogether? {{ }} points

Lucas wins 2,308,570 points in his game. He then loses 150,625 points before losing another 1,350,000 points. How many points does he end the game with? {{ }} points

Use column addition to calculate the sum of 4,352 and 2,217

Use column addition to calculate the total of 5,653 and 124

Use column subtraction to calculate how much more 8,976 is than 2,346

Use column subtraction to calculate the difference between 9,367 and 452

Lucas wins £3,469 in a game he is playing with Aisha. In his next turn, he has to give £527 to Aisha. How much money does he have left? £ {{ }}

Aisha wins £5,680 in the game that she is playing with Lucas. In her next turn, she wins another £719    How much money does she have now? £{{ }}

Solving problems using column addition and subtraction

Lesson outcome