# Reading numbers in millions

**Introduced in the Year 6 curriculum as:** "*Read, write, order and compare numbers up to 10 000 000 and determine the value of each digit*"

Long multiplication is a __written method__ for multiplying 4-digit numbers by a 2-digit number.

1: First, write the larger number above the smaller number. Make sure that the ones and the tens columns line up.

2: Multiply the ones digit of the bottom number by the ones digit of the top number. 2 × 4 = 8. Write 8 under the ones.

3: Multiply the ones digit of the bottom number by the tens digit of the top number. 2 × 6 = 12. Write 2 on the line and carry the 1.

4: Multiply the ones digit of the bottom number by the hundreds digit of the top number. 2 × 5 = 10. Add the 1 you carried to make 11. Write 1 in the 100s column and carry the 1.

5: Multiply the ones digit of the bottom number by the thousands digit of the top number. 2 × 2 = 4. Add the 1 you carried above the 2 to make 5, then write 5 in the thousands column of the first answer row.

6: Write a 0 in the ones column below the first product. Now, you're multiplying by 30, instead of 3!

7: Multiply the tens digit of the bottom number by the ones digit of the top number. 3 × 4 = 12. Write 2 on the line, then carry 1.

8: Multiply the tens digit of the bottom number by the tens digit of the top number. 3 × 6 = 18. Add the 1 you carried over to equal 19. Write 9 on the line and carry the 1.

9: Multiply the tens digit of the bottom number by the hundreds digit of the top number. 3 × 5 = 15. Add the 1 you carried over to equal 16. Write the 6 on the line and carry the 1.

10: Multiply the tens digit of the bottom number by the thousands digit of the top number. 3 × 2 = 6. Add the 1 you carried over to equal 7. Write 7 on the second row answer line.

11: Add both the rows of products using __column addition__.

Example 1:

Example 2:

Example 3: