RemeliaMaths Year 5 Number & place value
Year 5 place value to a million
The objective: Read, write, order and compare numbers to at least 1,000,000; determine the value of each digit.
The explanation, example and questions are the ones Remelia uses in the app; the questions are not taken from any test paper.
The idea
Past 1000 the columns keep going: thousands, ten thousands, hundred thousands, millions. The commas exist to group digits in threes so you can read them.
How to do it
- Group the digits in threes from the right.
- Read the group before the first comma as thousands.
- Each digit is worth its face value times its column.
A worked example
In 638,204 the 3 sits in the ten thousands column, so it is worth 30,000.
Watch for
Losing count of columns in a number like 405,060. The 4 is 400,000 and the 6 is 60.
Try four questions
-
In 227,682, what is the value of the hundreds digit?
- A 650
- B 600
- C 60
- D 700
Show the answer to question 1
Answer: B · 600
Why:
The digit is 6 in the hundreds column: 6 × 100 = 600.
-
Write this number in digits:
"eight hundred and nine thousand, two hundred and eight"
Show the answer to question 2
Answer: 809,208
Why:
Column by column, from the hundred thousands: 8, 0, 9, 2, 0, 8.
In digits: 809,208. A zero keeps each empty column in its place.
-
Write this number in digits:
"three hundred thousand and seven"
Show the answer to question 3
Answer: 300,007
Why:
Column by column, from the hundred thousands: 3, 0, 0, 0, 0, 7.
In digits: 300,007. A zero keeps each empty column in its place.
-
In 588,811, what is the value of the thousands digit?
Show the answer to question 4
Answer: 8,000
Why:
The digit is 8 in the thousands column: 8 × 1,000 = 8,000.
Answers
- 1. B · 600
- 2. 809,208
- 3. 300,007
- 4. 8,000
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 6: 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 2: That is the value of a different digit. Count the columns again from the right: ones, tens, hundreds, thousands.
- Question 1, the answer 6,000: Your digits are right, but in the wrong columns: your answer is 10 times too big.
- Question 1, the answer C · 60: Your digits are right, but in the wrong columns: your answer is 10 times too small.