Step-by-step Maths Level 4: Counting in thousands; 1000 more and 1000 less
Part of the Step-by-step Maths Level 4 counting and place value to 10000 chapter. Chapter overview · whole chapter on one page
Counting in thousands; 1000 more and 1000 less
Adding 1000 changes only the thousands digit: it goes up by 1. Taking away 1000 changes the thousands digit: it goes down by 1.
The hundreds, tens and ones stay the same.
Key ideas
- 1000 more: the thousands digit goes up by 1.
- 1000 less: the thousands digit goes down by 1.
- The other digits do not change.
Method. Change the thousands digit by one; the other digits stay the same.
- Look at the thousands digit. Only the thousands digit changes.4826 has 4 thousands
- Add one thousand. The thousands digit goes up by 1.4 + 1 = 5 thousands
- Write the answer. The hundreds, tens and ones stay the same.5826
Check. Check: 5826 - 4826 = 1000.
Watch out. Do not change the hundreds, tens or ones.
Method. Change the thousands digit by one; the other digits stay the same.
- Look at the thousands digit. Only the thousands digit changes.7060 has 7 thousands
- Take away one thousand. The thousands digit goes down by 1.7 - 1 = 6 thousands
- Write the answer. The hundreds, tens and ones stay the same.6060
Check. Check: 6060 + 1000 = 7060.
Watch out. The 0 in the hundreds place stays a 0.
Method. Count in steps of the same size, one step at a time.
- Start at the first number. It is where we begin.2415
- Add 1000 each time. Each count moves by the same step.2415 + 1000 = 3415
- Add 1000 each time. Each count moves by the same step.3415 + 1000 = 4415
- Add 1000 each time. Each count moves by the same step.4415 + 1000 = 5415
- Write the answer. This is the last number we reached.5415
Check. Count the steps back: 5415 - 3000 = 2415.
Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.
Watch out
Watch out. 1000 more than 4826 is 5826, not 4836. Change the thousands, not the tens.
Exam tip
Grown-up tip. Point to the thousands digit before each answer. Ask: “Which digit changes, and by how much?”
Exercise 1B Practice: counting in thousands
Non-calculatorMethod. Count in steps of the same size, one step at a time.
- Start at the first number. It is where we begin.3334
- Add 1000 each time. Each count moves by the same step.3334 + 1000 = 4334
- Add 1000 each time. Each count moves by the same step.4334 + 1000 = 5334
- Add 1000 each time. Each count moves by the same step.5334 + 1000 = 6334
- Add 1000 each time. Each count moves by the same step.6334 + 1000 = 7334
- Write the answer. This is the last number we reached.7334
Check. Count the steps back: 7334 - 4000 = 3334.
Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.
Method. Count in steps of the same size, one step at a time.
- Start at the first number. It is where we begin.1128
- Add 1000 each time. Each count moves by the same step.1128 + 1000 = 2128
- Add 1000 each time. Each count moves by the same step.2128 + 1000 = 3128
- Add 1000 each time. Each count moves by the same step.3128 + 1000 = 4128
- Add 1000 each time. Each count moves by the same step.4128 + 1000 = 5128
- Write the answer. This is the last number we reached.5128
Check. Count the steps back: 5128 - 4000 = 1128.
Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.
Method. Change the thousands digit by one; the other digits stay the same.
- Look at the thousands digit. Only the thousands digit changes when we add or take away 1000.3054 has 3 thousands
- Take away one thousand. The thousands digit goes up or down by 1.3 - 1 = 2 thousands
- Write the answer. The hundreds, tens and ones stay the same.2054
Check. Check: 2054 and 3054 differ by exactly 1000.
Watch out. Do not change the hundreds, tens or ones when you add or take away 1000.
Method. Count in steps of the same size, one step at a time.
- Start at the first number. It is where we begin.1867
- Add 1000 each time. Each count moves by the same step.1867 + 1000 = 2867
- Add 1000 each time. Each count moves by the same step.2867 + 1000 = 3867
- Add 1000 each time. Each count moves by the same step.3867 + 1000 = 4867
- Add 1000 each time. Each count moves by the same step.4867 + 1000 = 5867
- Write the answer. This is the last number we reached.5867
Check. Count the steps back: 5867 - 4000 = 1867.
Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.
Method. Count in steps of the same size, one step at a time.
- Start at the first number. It is where we begin.4441
- Add 1000 each time. Each count moves by the same step.4441 + 1000 = 5441
- Add 1000 each time. Each count moves by the same step.5441 + 1000 = 6441
- Write the answer. This is the last number we reached.6441
Check. Count the steps back: 6441 - 2000 = 4441.
Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.
Method. Count in steps of the same size, one step at a time.
- Start at the first number. It is where we begin.3427
- Add 1000 each time. Each count moves by the same step.3427 + 1000 = 4427
- Add 1000 each time. Each count moves by the same step.4427 + 1000 = 5427
- Add 1000 each time. Each count moves by the same step.5427 + 1000 = 6427
- Add 1000 each time. Each count moves by the same step.6427 + 1000 = 7427
- Add 1000 each time. Each count moves by the same step.7427 + 1000 = 8427
- Write the answer. This is the last number we reached.8427
Check. Count the steps back: 8427 - 5000 = 3427.
Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.
Method. Count in steps of the same size, one step at a time.
- Start at the first number. It is where we begin.1370
- Add 1000 each time. Each count moves by the same step.1370 + 1000 = 2370
- Add 1000 each time. Each count moves by the same step.2370 + 1000 = 3370
- Write the answer. This is the last number we reached.3370
Check. Count the steps back: 3370 - 2000 = 1370.
Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.
Method. Count in steps of the same size, one step at a time.
- Start at the first number. It is where we begin.1436
- Add 1000 each time. Each count moves by the same step.1436 + 1000 = 2436
- Add 1000 each time. Each count moves by the same step.2436 + 1000 = 3436
- Write the answer. This is the last number we reached.3436
Check. Count the steps back: 3436 - 2000 = 1436.
Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.
Method. Change the thousands digit by one; the other digits stay the same.
- Look at the thousands digit. Only the thousands digit changes when we add or take away 1000.3745 has 3 thousands
- Take away one thousand. The thousands digit goes up or down by 1.3 - 1 = 2 thousands
- Write the answer. The hundreds, tens and ones stay the same.2745
Check. Check: 2745 and 3745 differ by exactly 1000.
Watch out. Do not change the hundreds, tens or ones when you add or take away 1000.
Method. Change the thousands digit by one; the other digits stay the same.
- Look at the thousands digit. Only the thousands digit changes when we add or take away 1000.1910 has 1 thousands
- Add one thousand. The thousands digit goes up or down by 1.1 + 1 = 2 thousands
- Write the answer. The hundreds, tens and ones stay the same.2910
Check. Check: 2910 and 1910 differ by exactly 1000.
Watch out. Do not change the hundreds, tens or ones when you add or take away 1000.
Method. Count in steps of the same size, one step at a time.
- Start at the first number. It is where we begin.5514
- Add 1000 each time. Each count moves by the same step.5514 + 1000 = 6514
- Add 1000 each time. Each count moves by the same step.6514 + 1000 = 7514
- Add 1000 each time. Each count moves by the same step.7514 + 1000 = 8514
- Add 1000 each time. Each count moves by the same step.8514 + 1000 = 9514
- Write the answer. This is the last number we reached.9514
Check. Count the steps back: 9514 - 4000 = 5514.
Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.
Method. Count in steps of the same size, one step at a time.
- Start at the first number. It is where we begin.9613
- Take 1000 each time. Each count moves by the same step.9613 - 1000 = 8613
- Take 1000 each time. Each count moves by the same step.8613 - 1000 = 7613
- Take 1000 each time. Each count moves by the same step.7613 - 1000 = 6613
- Take 1000 each time. Each count moves by the same step.6613 - 1000 = 5613
- Take 1000 each time. Each count moves by the same step.5613 - 1000 = 4613
- Write the answer. This is the last number we reached.4613
Check. Count the steps back: 4613 + 5000 = 9613.
Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.
Method. Count in steps of the same size, one step at a time.
- Start at the first number. It is where we begin.3901
- Add 1000 each time. Each count moves by the same step.3901 + 1000 = 4901
- Add 1000 each time. Each count moves by the same step.4901 + 1000 = 5901
- Add 1000 each time. Each count moves by the same step.5901 + 1000 = 6901
- Add 1000 each time. Each count moves by the same step.6901 + 1000 = 7901
- Add 1000 each time. Each count moves by the same step.7901 + 1000 = 8901
- Write the answer. This is the last number we reached.8901
Check. Count the steps back: 8901 - 5000 = 3901.
Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.
Method. Count in steps of the same size, one step at a time.
- Start at the first number. It is where we begin.4738
- Take 1000 each time. Each count moves by the same step.4738 - 1000 = 3738
- Take 1000 each time. Each count moves by the same step.3738 - 1000 = 2738
- Write the answer. This is the last number we reached.2738
Check. Count the steps back: 2738 + 2000 = 4738.
Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.
Method. Count in steps of the same size, one step at a time.
- Start at the first number. It is where we begin.7752
- Take 1000 each time. Each count moves by the same step.7752 - 1000 = 6752
- Take 1000 each time. Each count moves by the same step.6752 - 1000 = 5752
- Take 1000 each time. Each count moves by the same step.5752 - 1000 = 4752
- Take 1000 each time. Each count moves by the same step.4752 - 1000 = 3752
- Take 1000 each time. Each count moves by the same step.3752 - 1000 = 2752
- Write the answer. This is the last number we reached.2752
Check. Count the steps back: 2752 + 5000 = 7752.
Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.
Method. Change the thousands digit by one; the other digits stay the same.
- Look at the thousands digit. Only the thousands digit changes when we add or take away 1000.4496 has 4 thousands
- Add one thousand. The thousands digit goes up or down by 1.4 + 1 = 5 thousands
- Write the answer. The hundreds, tens and ones stay the same.5496
Check. Check: 5496 and 4496 differ by exactly 1000.
Watch out. Do not change the hundreds, tens or ones when you add or take away 1000.