Maths Year 6 Number & place value

Year 6 place value: six questions and the common mistakes

Under each answer are the wrong answers a child often gives to it, four different mistakes on this page, and what Remelia tells the child who gives one.

Questions written by Remelia for the objectives of the national curriculum for England; not taken from any test paper.

Six questions

In 8,538,771, what is the value of the millions digit?
- A 8,000,000
- B 8,500,000
- C 80,000,000
- D 800,000
Show the answer to question 1
Answer: A · 8,000,000
Why:
The digit is 8 in the millions column → 8,000,000.
Common mistakes:
- 8: That is the digit, not its value. A digit’s value is the digit multiplied by the column it sits in.
- 1: That is the value of a different digit. Count the columns again from the right: ones, tens, hundreds, thousands.
- 80,000,000: Your digits are right, but in the wrong columns: your answer is 10 times too big.
- 800,000: Your digits are right, but in the wrong columns: your answer is 10 times too small.
In 9,871,987, what is the value of the millions digit?
- A 19,000,000
- B 900,000
- C 8,000,000
- D 9,000,000
Show the answer to question 2
Answer: D · 9,000,000
Why:
The digit is 9 in the millions column → 9,000,000.
Common mistakes:
- 9: That is the digit, not its value. A digit’s value is the digit multiplied by the column it sits in.
- 7: That is the value of a different digit. Count the columns again from the right: ones, tens, hundreds, thousands.
- 90,000,000: Your digits are right, but in the wrong columns: your answer is 10 times too big.
- 900,000: Your digits are right, but in the wrong columns: your answer is 10 times too small.
In 1,340,195, what is the value of the ten thousands digit?
Show the answer to question 3
Answer: 40,000
Why:
The digit is 4 in the ten thousands column → 40,000.
Common mistakes:
- 4: That is the digit, not its value. A digit’s value is the digit multiplied by the column it sits in.
- 5: That is the value of a different digit. Count the columns again from the right: ones, tens, hundreds, thousands.
- 400,000: Your digits are right, but in the wrong columns: your answer is 10 times too big.
- 4,000: Your digits are right, but in the wrong columns: your answer is 10 times too small.
In 5,614,818, what is the value of the hundred thousands digit?
Show the answer to question 4
Answer: 600,000
Why:
The digit is 6 in the hundred thousands column → 600,000.
Common mistakes:
- 6: That is the digit, not its value. A digit’s value is the digit multiplied by the column it sits in.
- 8: That is the value of a different digit. Count the columns again from the right: ones, tens, hundreds, thousands.
- 6,000,000: Your digits are right, but in the wrong columns: your answer is 10 times too big.
- 60,000: Your digits are right, but in the wrong columns: your answer is 10 times too small.
In 7,876,035, what is the value of the hundred thousands digit?
Show the answer to question 5
Answer: 800,000
Why:
The digit is 8 in the hundred thousands column → 800,000.
Common mistakes:
- 8: That is the digit, not its value. A digit’s value is the digit multiplied by the column it sits in.
- 5: That is the value of a different digit. Count the columns again from the right: ones, tens, hundreds, thousands.
- 8,000,000: Your digits are right, but in the wrong columns: your answer is 10 times too big.
- 80,000: Your digits are right, but in the wrong columns: your answer is 10 times too small.
In 3,548,066, what is the value of the millions digit?
Show the answer to question 6
Answer: 3,000,000
Why:
The digit is 3 in the millions column → 3,000,000.
Common mistakes:
- 3: That is the digit, not its value. A digit’s value is the digit multiplied by the column it sits in.
- 6: That is the value of a different digit. Count the columns again from the right: ones, tens, hundreds, thousands.
- 30,000,000: Your digits are right, but in the wrong columns: your answer is 10 times too big.
- 300,000: Your digits are right, but in the wrong columns: your answer is 10 times too small.

Answers

1. A · 8,000,000
2. D · 9,000,000
3. 40,000
4. 600,000
5. 800,000
6. 3,000,000

How Remelia uses a mistake

When a wrong answer matches one of these mistakes, the app says what the child seems to have done before they try again, and brings the objective back on a later day.

Remelia practises maths for the child's own year group, in short sessions, and brings back on later days what they got wrong.

Open the app What it teaches

Every Year 6 maths objective