Grasp Maths

Year 5

Count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000

Count forwards and backwards in powers of 10 and explain how each place changes.

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Lesson overview

Number - number and place value

When we add or subtract powers of 10, only some places change. Adding 10 changes the tens and ones pattern. Adding 100 changes the hundreds pattern. Adding 1,000 changes the thousands pattern.

Count on in tens

43,210, 43,220, 43,230, 43,240 keeps the same thousands and hundreds.

Only the tens increase by 1 ten each time.

Count back in hundreds

208,500, 208,400, 208,300 subtracts one hundred each step.

The hundred changes while the thousands stay the same.

Count on in thousands

599,000, 600,000, 601,000 crosses into the next hundred thousand.

Sometimes a place changes because the smaller place reaches ten of that place.

Worked example

Continue the sequence 245,600, 246,600, 247,600, ...

  1. Compare the first two numbers.
  2. Each step adds 1,000.
  3. Add 1,000 to 247,600.
  4. The next number is 248,600.

Round 1: Learn it

Track the size of the jump and watch which place changes each time.

Finish this round to unlock Round 2: Show you know it.

Question 1

Count on in 10s: 43,210, 43,220, 43,230, __

Question 2

Which sequence counts back in 100s?

Question 3

Count on in 1,000s: 245,600, 246,600, 247,600, __

Question 4

What comes next when counting back in 10,000s: 830,000, 820,000, 810,000, ... ?

Question 5

Count on in 100s: 599,700, 599,800, 599,900, __

Common mistakes

Watch for these as you work through the lesson.

  • Changing the wrong place when counting in powers of 10.
  • Adding or subtracting the wrong amount after a carry or exchange.
  • Losing the direction when the sequence counts backwards.

Related topics

These ideas connect closely to this lesson.

  • Read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit.
  • Interpret negative numbers in context and count forwards and backwards with positive and negative whole numbers, including through zero.

Practice next

Independent practice will plug in here

This lesson teaches the pattern first. Deeper Year 5 practice can connect here later.