RemeliaMaths Year 3 Number & place value
Year 3 place value in 3-digit numbers
The objective: Recognise the place value of each digit in a 3-digit number (100s, 10s, 1s).
The explanation, example and questions are the ones Remelia uses in the app; the questions are not taken from any test paper.
The idea
Every digit has a job that depends on where it sits. In 348 the 3 is not worth 3, it is worth 300, because it sits in the hundreds column.
How to do it
- Read the columns from the right: ones, tens, hundreds.
- Multiply the digit by the value of its column.
A worked example
348 = 300 + 40 + 8. The 4 is worth 4 tens, which is 40.
Watch for
Reading a digit at face value. The 4 in 348 is worth 40, not 4.
Try four questions
-
In the number 908, what is the value of the digit in the hundreds place?
- A 950
- B 90
- C 9,000
- D 900
Show the answer to question 1
Answer: D · 900
Why:
The hundreds digit is 9, and it is worth 9 × 100 = 900.
-
In the number 241, what is the value of the digit in the ones place?
Show the answer to question 2
Answer: 1
Why:
The ones digit is 1, and it is worth 1 × 1 = 1.
-
In the number 931, what is the value of the digit in the ones place?
Show the answer to question 3
Answer: 1
Why:
The ones digit is 1, and it is worth 1 × 1 = 1.
-
853 is 8 hundreds, 5 tens and 3 ones.
It can also be made from 8 hundreds, 4 tens and some ones.
How many ones?
Show the answer to question 4
Answer: 13
Why:
One ten is ten ones. Take one ten and change it for ten ones: 3 + 10 = 13 ones.
800 + 40 + 13 = 853.
Answers
- 1. D · 900
- 2. 1
- 3. 1
- 4. 13
The mistakes Remelia names
When a wrong answer to a question like these matches one of these mistakes, the app says what the child seems to have done before they try again.
- Question 1, the answer 9: That is the digit, not its value. A digit’s value is the digit multiplied by the column it sits in.
- Question 1, the answer 8: That is the value of a different digit. Count the columns again from the right: ones, tens, hundreds, thousands.
- Question 1, the answer 9,000: Your digits are right, but in the wrong columns: your answer is 10 times too big.
- Question 1, the answer B · 90: Your digits are right, but in the wrong columns: your answer is 10 times too small.