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.

The midpoint is the middle of something, in this case the middle of two points on a number line. It is the point halfway between two things, or numbers.

A multiple is result of multiplying a number by an integer.

Something that is critical has crucial importance.

Rounding 7-digit numbers to the nearest million

Maths

Rounding seven-digit numbers to any power of 10

Solving calculations efficiently

Explore mental and written strategies to solve problems

Solve problems explaining which strategy is most efficient

In this unit pupils will use their knowledge of the composition of 7-digit numbers to solve problems adding and subtracting numbers whilst crossing the millions boundary They will round  7-digit numbers to the nearest million and nearest hundred thousand and solve addition and subtraction problems. In the future unit pupils round to any number of decimal places and learn about significant figures.

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

Rounding and solving problems with numbers up to 7 digits

People sleep for approximately 3,000 hours each year

The average price of a house is £310,000 

The height of the mountain Ben Nevis is 1,345 metres above sea level.

Which of these statements include rounded values?

Look at the section of number line. The previous multiple of one million to ‘A’ is {{ }}

Look at the number line. ‘A’ is {{ }} when rounded to the nearest multiple of one million.

Complete the sentence: 4,602,001 is {{ }} when rounded to the nearest one million.

Match the number to its rounded value when rounded to the nearest multiple of one million.

Lucas thinks of a number. His number is 9,000,000 when rounded to the nearest multiple of one million. What is the greatest integer that his number could be?

What is the next multiple of one million after six million?

Round 3,604 to the nearest multiple of one thousand.

Round 3,604 to the nearest multiple of one hundred.

Round 28,000 to the nearest multiple of ten thousand.

Lucas thinks of a number. His number rounds is 6,000 when rounded to the nearest multiple of one thousand. What is the smallest integer that his number could be?

Lucas thinks of a number. His number rounds is 6,000 when rounded to the nearest multiple of one thousand. What is the greatest integer that his number could be?

Rounding 7-digit numbers to the nearest million

Lesson outcome