Step-by-step Maths Level 4: Place value in four-digit numbers
Part of the Step-by-step Maths Level 4 counting and place value to 10000 chapter. Chapter overview · whole chapter on one page
Place value in four-digit numbers
A four-digit number has four columns: thousands, hundreds, tens and ones. The value of a digit depends on its column.
In 4826 the 4 is worth 4000, the 8 is worth 800, the 2 is worth 20 and the 6 is worth 6.
Key ideas
- Thousands, hundreds, tens and ones.
- The value of a digit = the digit × the place value.
- Place values: 1000, 100, 10 and 1.
Method. The value of a digit depends on its place. Multiply the digit by the place value.
- Find the digit in the hundreds place. Read the digit in that column.8 is in the hundreds place
- Multiply the digit by its place value. Each hundred is worth 100.8 × 100 = 800
- Write the value. This is what the digit is worth in this number.800
Check. Check: 800 is eight hundreds.
Watch out. Say what the digit is worth, such as 800 not 8.
Method. Read the number from the right, column by column.
- Count from the right to the tens column. Ones are on the right, then tens.5271: ones 1, tens 7
- Read the digit in the tens column. It is the digit that stands in that place.the tens digit is 7
- Write the digit. Write only the digit.7
Check. Check: 70 is the value of the 7 in the tens place.
Watch out. Count the columns from the right, not from the left.
Method. The thousands digit tells how many thousands.
- Look at the thousands digit. It is the first digit in 9034.9034: thousands digit is 9
- Read the number of thousands. Nine thousands.9 thousands
- Write the answer. This is how many thousands there are.9
Check. Check: 9000 is 9 thousands.
Watch out. The number of thousands is not the same as the whole number.
Watch out
Watch out. The 2 in 5271 is worth 200 (hundreds), not 2. The digit and its value are different.
Exam tip
Grown-up tip. Ask: “What is the value of the digit, not just the digit?” Get the child to say the place value as a number.
Exercise 1D Practice: place value
Non-calculatorMethod. Read the number from the right, column by column.
- Count from the right to the ones column. Ones are on the right, then tens, hundreds and thousands.1822: thousands, hundreds, tens, ones
- Read the digit in that column. It is the digit that stands in that place.the ones digit is 2
- Write the digit. Write only the digit.2
Check. Check: the picture shows 2 squares in the ones column.
Watch out. Count the place columns from the right, not from the left.
Method. Read the number from the right, column by column.
- Count from the right to the ones column. Ones are on the right, then tens, hundreds and thousands.1961: thousands, hundreds, tens, ones
- Read the digit in that column. It is the digit that stands in that place.the ones digit is 1
- Write the digit. Write only the digit.1
Check. Check: the picture shows 1 squares in the ones column.
Watch out. Count the place columns from the right, not from the left.
Method. The value of a digit depends on its place. Multiply the digit by the place value.
- Find the digit in the ones place. Read the digit in that column.4 is in the ones place
- Multiply the digit by its place value. Each one is worth 1.4 × 1 = 4
- Write the value. This is what the digit is worth in this number.4
Check. Check: 4 is 4 ones written as a number.
Watch out. Do not give just the digit. Say what it is worth, such as 300 not 3.
Method. The value of a digit depends on its place. Multiply the digit by the place value.
- Find the digit in the thousands place. Read the digit in that column.6 is in the thousands place
- Multiply the digit by its place value. Each thousand is worth 1000.6 × 1000 = 6000
- Write the value. This is what the digit is worth in this number.6000
Check. Check: 6000 is 6 thousands written as a number.
Watch out. Do not give just the digit. Say what it is worth, such as 300 not 3.
Method. The value of a digit depends on its place. Multiply the digit by the place value.
- Find the digit in the tens place. Read the digit in that column.1 is in the tens place
- Multiply the digit by its place value. Each ten is worth 10.1 × 10 = 10
- Write the value. This is what the digit is worth in this number.10
Check. Check: 10 is 1 tens written as a number.
Watch out. Do not give just the digit. Say what it is worth, such as 300 not 3.
Method. Read the number from the right, column by column.
- Count from the right to the hundreds column. Ones are on the right, then tens, hundreds and thousands.4608: thousands, hundreds, tens, ones
- Read the digit in that column. It is the digit that stands in that place.the hundreds digit is 6
- Write the digit. Write only the digit.6
Check. Check: the picture shows 6 squares in the hundreds column.
Watch out. Count the place columns from the right, not from the left.
Method. Read the number from the right, column by column.
- Count from the right to the thousands column. Ones are on the right, then tens, hundreds and thousands.1428: thousands, hundreds, tens, ones
- Read the digit in that column. It is the digit that stands in that place.the thousands digit is 1
- Write the digit. Write only the digit.1
Check. Check: the picture shows 1 squares in the thousands column.
Watch out. Count the place columns from the right, not from the left.
Method. The value of a digit depends on its place. Multiply the digit by the place value.
- Find the digit in the ones place. Read the digit in that column.7 is in the ones place
- Multiply the digit by its place value. Each one is worth 1.7 × 1 = 7
- Write the value. This is what the digit is worth in this number.7
Check. Check: 7 is 7 ones written as a number.
Watch out. Do not give just the digit. Say what it is worth, such as 300 not 3.
Method. Read the number from the right, column by column.
- Count from the right to the hundreds column. Ones are on the right, then tens, hundreds and thousands.3131: thousands, hundreds, tens, ones
- Read the digit in that column. It is the digit that stands in that place.the hundreds digit is 1
- Write the digit. Write only the digit.1
Check. Check: the picture shows 1 squares in the hundreds column.
Watch out. Count the place columns from the right, not from the left.
Method. The value of a digit depends on its place. Multiply the digit by the place value.
- Find the digit in the ones place. Read the digit in that column.4 is in the ones place
- Multiply the digit by its place value. Each one is worth 1.4 × 1 = 4
- Write the value. This is what the digit is worth in this number.4
Check. Check: 4 is 4 ones written as a number.
Watch out. Do not give just the digit. Say what it is worth, such as 300 not 3.
Method. Read the number from the right, column by column.
- Count from the right to the ones column. Ones are on the right, then tens, hundreds and thousands.8865: thousands, hundreds, tens, ones
- Read the digit in that column. It is the digit that stands in that place.the ones digit is 5
- Write the digit. Write only the digit.5
Check. Check: the picture shows 5 squares in the ones column.
Watch out. Count the place columns from the right, not from the left.
Method. The value of a digit depends on its place. Multiply the digit by the place value.
- Find the digit in the thousands place. Read the digit in that column.9 is in the thousands place
- Multiply the digit by its place value. Each thousand is worth 1000.9 × 1000 = 9000
- Write the value. This is what the digit is worth in this number.9000
Check. Check: 9000 is 9 thousands written as a number.
Watch out. Do not give just the digit. Say what it is worth, such as 300 not 3.
Method. Read the number from the right, column by column.
- Count from the right to the thousands column. Ones are on the right, then tens, hundreds and thousands.7505: thousands, hundreds, tens, ones
- Read the digit in that column. It is the digit that stands in that place.the thousands digit is 7
- Write the digit. Write only the digit.7
Check. Check: the picture shows 7 squares in the thousands column.
Watch out. Count the place columns from the right, not from the left.
Method. The value of a digit depends on its place. Multiply the digit by the place value.
- Find the digit in the tens place. Read the digit in that column.5 is in the tens place
- Multiply the digit by its place value. Each ten is worth 10.5 × 10 = 50
- Write the value. This is what the digit is worth in this number.50
Check. Check: 50 is 5 tens written as a number.
Watch out. Do not give just the digit. Say what it is worth, such as 300 not 3.
Method. The value of a digit depends on its place. Multiply the digit by the place value.
- Find the digit in the ones place. Read the digit in that column.1 is in the ones place
- Multiply the digit by its place value. Each one is worth 1.1 × 1 = 1
- Write the value. This is what the digit is worth in this number.1
Check. Check: 1 is 1 ones written as a number.
Watch out. Do not give just the digit. Say what it is worth, such as 300 not 3.
Method. The value of a digit depends on its place. Multiply the digit by the place value.
- Find the digit in the thousands place. Read the digit in that column.5 is in the thousands place
- Multiply the digit by its place value. Each thousand is worth 1000.5 × 1000 = 5000
- Write the value. This is what the digit is worth in this number.5000
Check. Check: 5000 is 5 thousands written as a number.
Watch out. Do not give just the digit. Say what it is worth, such as 300 not 3.