RemeliaMaths Year 6 Number & place value
Year 6 place value to ten million
The objective: Read, write, order and compare numbers up to 10,000,000; 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 a million the columns carry on: millions, ten millions. Grouping the digits in threes keeps them readable.
How to do it
- Group in threes from the right: millions, thousands, ones.
- Read each group and say its group name.
- Compare from the left, column by column.
A worked example
In 7,406,215 the 4 is in the hundred thousands column, worth 400,000.
Watch for
Miscounting columns in numbers with zeros, like 4,070,003.
Try four questions
-
In 7,044,584, what is the value of the millions digit?
Show the answer to question 1
Answer: 7,000,000
Why:
The digit is 7 in the millions column → 7,000,000.
-
Which sign goes in the box: <, > or =?
5,000,000 + 6,000 + 100 + 50 □ 5,060,150
- A <
- B =
- C >
Show the answer to question 2
Answer: A · <
Why:
5,000,000 + 6,000 + 100 + 50 = 5,006,150.
Compare 5,006,150 with 5,060,150 from the millions column down.
So 5,000,000 + 6,000 + 100 + 50 < 5,060,150.
-
Which sign goes in the box: <, > or =?
3,000,000 + 700,000 + 6,000 + 3 □ 3,700,603
- A >
- B <
- C =
Show the answer to question 3
Answer: A · >
Why:
3,000,000 + 700,000 + 6,000 + 3 = 3,706,003.
Compare 3,706,003 with 3,700,603 from the millions column down.
So 3,000,000 + 700,000 + 6,000 + 3 > 3,700,603.
-
Write this number in figures:
two million, four hundred and thirty-two thousand, three hundred and sixty-one
Show the answer to question 4
Answer: 2,432,361
Why:
The millions: 2. The thousands: 432. The last three digits: 361.
So it is 2,432,361.
Answers
- 1. 7,000,000
- 2. A · <
- 3. A · >
- 4. 2,432,361
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 7: 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 4: That is the value of a different digit. Count the columns again from the right: ones, tens, hundreds, thousands.
- Question 1, the answer 70,000,000: Your digits are right, but in the wrong columns: your answer is 10 times too big.
- Question 1, the answer 700,000: Your digits are right, but in the wrong columns: your answer is 10 times too small.