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Year 6 · Maths · Place value to 10,000,000 · Lesson 2

Comparing, ordering and rounding large numbers

Compare and order numbers up to 10,000,000 and round them to the nearest 10, 100, 1,000, 10,000, 100,000 and 1,000,000.

Whiteboard video lesson: Comparing, ordering and rounding large numbers

26-minute video lesson

Teaching, worked examples and 20 practice questions solved step by step.

Watch free for a month

What your child will learn

  • Compare large numbers using < and >
  • Order large numbers
  • Round to any power of 10 up to a million
  • Find the range of numbers that round to a value

The method

  1. Find the column you are rounding to.
  2. Look at the next digit to the right.
  3. 5 or more: up. Less than 5: down.
  4. Digits after become zeros.

Key words: compare, order, round, nearest, estimate.

Worked examples

The first three practice questions from the lesson, with every step.

Question 1

Write <, > or = between 7,203,000 ___ 7,230,000

  1. Step 1: Compare digit by digit from the left.
  2. Step 2: First difference: the ten thousands column
  3. Step 3: 7,203,000 < 7,230,000

Answer: 7,203,000 < 7,230,000

Question 2

Write <, > or = between 1,999,999 ___ 2,000,000

  1. Step 1: Compare digit by digit from the left.
  2. Step 2: First difference: the millions column
  3. Step 3: 1,999,999 < 2,000,000

Answer: 1,999,999 < 2,000,000

Question 3

Write <, > or = between 5,040,300 ___ 5,004,300

  1. Step 1: Compare digit by digit from the left.
  2. Step 2: First difference: the ten thousands column
  3. Step 3: 5,040,300 > 5,004,300

Answer: 5,040,300 > 5,004,300