# Count Forwards or Backwards in Powers of Ten

In this worksheet, students will be asked to count both forwards and backwards in steps of powers of 10, for any given number, up to 10,00,000.

Key stage:  KS 2

Curriculum topic:   Number: Number and Place Value

Curriculum subtopic:   Count in Steps to 1 000 000

Difficulty level:

### QUESTION 1 of 10

In this activity, you will be asked to count either forwards or backwards in steps of powers of 10.

When counting in steps of powers of 10, only one digit in the number will be altered.

For example, when adding 1,000 only the digit in the 1,000 place of the number will change.

All the other digits will remain the same.

13,456 + 1,000 = 14,456

Let's recap:

You count forward in 100s like this...

530  630  730  830  930

You count forward in 1000s like this...

6,892  7,892  8,892  9,892  10,892  11,892

You count forward in 10,000s like this...

102,500  112,500  122,500  132,500  142,500

And finally, you count foward in 100,000s like this...

607,800   707,800   807,800   907,800   1,907,800

The final number in this sequence has become 1 million, 9 hundred and 7 thousand, and 8 hundred.

Now it's over to you!

The sequence below is counting forwards in steps of 10,000.

What is the missing number?

34,600   44,600   54,600    ?    74,600   84,600

The sequence below is counting backwards in steps of 10,000.

What is the missing number?

100,400    90,400    ?    70,400    60,400    50,400

Look carefully at the number sequence below.

Each time, we are counting carefully forward by 100.

94,200    94,300

Can you choose the next 3 numbers in the sequence?

94,400 94,550 96,600

94,400 94,500 94,600

90,400 94,500 94,600

94,440 94,450 94,550

Look carefully at the number sequence below.

Each time, we are counting carefully backwards by 100.

89,650    89,550    89,450    ?

Can you choose the next 3 numbers in the sequence?

89,300 89,200 89,100

89,000 88,000 87,000

89,350 89,250 89,150

89,150 89,100 89,050

Look carefully at the number sequence below.

Each time, we are counting carefully forwards by 1000.

213,000  214,000  215,000

Can you write the next number in the sequence?

Look carefully at the number sequence below.

Each time, we are counting carefully backwards by 1000.

67,345    66,435    65,435    ?

Can you write the next number in the sequence?

At a recent, local football match, 24,535 fans attended.

The following week, 10,000 more fans attended the match; a great turnout!

How many fans attended the second match?

33,535

34,535

34,635

34,553

The following month, at a local football match, 58,901 fans attended.

The following week, 10,000 less fans attended the match.

How many fans attended the second match?

Tickets sales for the first football match of the season totalled £128,007.

The following week, for the second match, the sales totalled £328,007.

How much more did the ticket sales total for the second match?

£200,000

£220,000

£2,000,000

£20,000

Tickets sales for the last football match of the season totalled £301,675.

The week before, the sales figures for the match totalled £300,675.

How much more did the ticket sales total for the final match?

£200,000

£220,000

£2,000,000

£20,000

• Question 1

The sequence below is counting forwards in steps of 10,000.

What is the missing number?

34,600   44,600   54,600    ?    74,600   84,600

64,600
64 600
64600
EDDIE SAYS
For each step in the sequence, the digit in the ten thousands place increases by 1. This means the missing number is 64,600. Simple, right?
• Question 2

The sequence below is counting backwards in steps of 10,000.

What is the missing number?

100,400    90,400    ?    70,400    60,400    50,400

80,400
80 400
80400
EDDIE SAYS
Each step, the digit in the ten thousands place decreases by 1. This means that the missing number is 80,400.
• Question 3

Look carefully at the number sequence below.

Each time, we are counting carefully forward by 100.

94,200    94,300

Can you choose the next 3 numbers in the sequence?

94,400 94,500 94,600
EDDIE SAYS
Did you notice that the digit in the hundreds place was increasing by 1 each time? The next 3 numbers in the sequence are: 94,400 94,500 94,600
• Question 4

Look carefully at the number sequence below.

Each time, we are counting carefully backwards by 100.

89,650    89,550    89,450    ?

Can you choose the next 3 numbers in the sequence?

89,350 89,250 89,150
EDDIE SAYS
Did you spot the correct numbers remaining in the sequence? The digit in the hundreds place was decreasing by 1 each time, therefore the next 3 numbers in the sequence are: 89,350 89,250 89,150 Great focus! You're almost halfway through the activity, let's push on.
• Question 5

Look carefully at the number sequence below.

Each time, we are counting carefully forwards by 1000.

213,000  214,000  215,000

Can you write the next number in the sequence?

216 000
216000
216,000
EDDIE SAYS
Did you manage to notice that in this sequence, the digit in the thousands place was increasing by 1 each time? This makes the next number in the sequence: 216,000 Are you beginning to feel more confident?
• Question 6

Look carefully at the number sequence below.

Each time, we are counting carefully backwards by 1000.

67,345    66,435    65,435    ?

Can you write the next number in the sequence?

64 435
64,435
64435
EDDIE SAYS
Did you spot that the digit in the thousands place was decreasing by 1 each time? All of the other digits remain the same. This means the next number in the sequence is: 64,435
• Question 7

At a recent, local football match, 24,535 fans attended.

The following week, 10,000 more fans attended the match; a great turnout!

How many fans attended the second match?

34,535
EDDIE SAYS
To find out the total attendance for the latest match, we had to add 10,000 onto 24,535. 24,535 + 10,000 = 34,535 Notice that the only digit to change in the original number is the digit in the 10,000 place. All other digits remain the same.
• Question 8

The following month, at a local football match, 58,901 fans attended.

The following week, 10,000 less fans attended the match.

How many fans attended the second match?

48901
48,901
48 901
EDDIE SAYS
In order to find out the total attendance for the latest match, we had to subtract 10,000 from 58,901. 58,901 - 10,000 = 48,901 Notice that the only digit to change in the original number is the digit in the 10,000 place, all other digits remain the same.
• Question 9

Tickets sales for the first football match of the season totalled £128,007.

The following week, for the second match, the sales totalled £328,007.

How much more did the ticket sales total for the second match?

£200,000
EDDIE SAYS
In order to work out how much more the ticket sales totalled for the second match, we need to carry out a subtraction calculation. £328,007 - £128,007 = £200,000 So, we had to count backwards in steps of 100,000. You're getting better at this method with each question you attempt! This was a tough one.
• Question 10

Tickets sales for the last football match of the season totalled £301,675.

The week before, the sales figures for the match totalled £300,675.

How much more did the ticket sales total for the final match?

EDDIE SAYS
In order to find out the difference between the ticket sales totalled for both matches, we need to carry out a subtraction calculation. £301,675 - £300,675 = £1,000 The final match of the season raised an additional £1,000 in ticket sales. Great work, you've completed another activity! How about attempting another one so you feel super confident?
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