Four operations and place value Worked Solutions — GCSE Maths

Find the column of the 7

Reading columns from the right they are units, tens, hundreds, thousands. The 7 sits in the hundreds column.

Multiply the digit by its place value

The value of a digit is the digit multiplied by its column value. Here that is 7 hundreds.

State the value

So the 7 stands for 700.

Add the units

Line the numbers up by place value and start at the units. $7+5=12$, so write 2 and carry 1 into the tens.

Add the tens with the carry

Add the tens digits plus the carried 1. Write 3 and carry 1 into the hundreds.

Add the hundreds

Add the hundreds plus the carry to get 6. The answer is 632.

Look at the units

Units: 2 is smaller than 8 so we must borrow, but the tens digit is 0 so we borrow from the hundreds first.

Borrow across the zero

Take 1 hundred: hundreds become 4, tens become 10; then move 1 ten to the units so tens become 9 and units become 12.

Subtract each column

Now subtract column by column. The answer is 234.

Multiply the units

Multiply 6 by the units digit 7 to get 42. Write 2 and carry 4 into the tens.

Multiply the tens and add the carry

Multiply 6 by the 4 tens to get 24, then add the carried 4 to get 28.

Write the result

Putting the digits together gives 282.

Divide the tens

Using the bus-stop method, 4 goes into 9 twice with 1 left over. Write 2 above the 9 and carry the 1.

Divide the units

The leftover 1 makes the 6 into 16. 4 goes into 16 exactly 4 times.

State the answer

So 96 divided by 4 is 24.