Max Maths, Year 6, Learn together, Multiplying by a 1-digit number (2)

In Max Maths for Year 6, students learn to multiply a 3-digit number by a 1-digit number using the column method. To illustrate this, the example given is finding the product of 327 and 5. Starting with the ones place, students multiply 5 by 7 ones to get 35 ones. This result is then regrouped into 3 tens and 5 ones. The 5 is written down under the ones column, and the 3 tens are carried over to the tens column for later addition.

Continuing with the tens place, the number 5 is multiplied by 2 tens, resulting in 10 tens. The 3 tens carried over from the previous step are added to this, making 13 tens in total. This is then regrouped into 1 hundred and 3 tens, with the 3 being written down in the tens column and the 1 hundred carried over to the hundreds column. Finally, the hundreds are multiplied: 5 times 3 hundreds equals 15 hundreds, to which the carried over 1 hundred is added, giving a total of 16 hundreds. Since there's no need for further regrouping, the complete number 1635 is written down as the final product. The method ensures that students understand why the final digit in the product is either a 5 or a 0 when multiplying by 5, demonstrating a grasp of the underlying patterns in multiplication.