One million is composed of one thousand thousands. 1,000 × 1,000 = 1,000,000 We write one million as a one followed by six zeros.

The value of a particular digit is how much that digit is worth within the given number.

Determine the value of digits in numbers up to 10 million

Maths

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

Solving problems using column addition and subtraction

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

In the number 9,103,452 what does the digit ‘3’ represent?

In the number 9,103,452, the value of the digit nine is __________.

In the number 9,103,452 the value of the digit one is __________.

In which of these numbers is the digit ‘6’ worth 60 thousand?

In which of these numbers is the digit ‘8’ worth eight hundred thousand?

Lucas has used one counter on a place value chart to represent a number. Which pair of numbers, that can both be represented using one counter, have a difference of nine hundred and ninety thousand?

What number is represented by the place value counters? Write your answer as a numeral.

What number is represented by these place value counters? Write your answer as a numeral.

What number is represented in this part of a Gattegno chart? Write your answer as a numeral.

Six million and thirty-seven thousand, one hundred and eight is written as ___

Use the place value counters to complete the blank in the sentence: 1,000 more than this number is two million, one hundred and {{ }} thousand, two hundred and fifteen.

Determine the value of digits in numbers up to 10 million

Lesson outcome