In the mental arithmetic test, you’re often asked to multiply or divide a number by a decimal – something like 10.3 x 0.01 or 3.34 ÷ 0.2. Once you know the rules, they’re easy!
To multiply by a decimal number:
- Count how many digits are after the decimal point (the dot) in both numbers. In the example 10.3 x 0.01, the first number has one digit after the decimal point, and the second has two. 
- Add these numbers up (here, you get three) and write the answer down somewhere. 
- Ignoring the dot, work out the sum and put a dot at the end: 103 x 1 = 103. 
- Move the dot back the number of digits you wrote down in Step 2 – there’s your answer! Here, you’d move the dot back three digits and end up with 0.103. 
Sometimes, you’ll need to move back more places than you have digits – in that case, put as many zeroes as you need in front of the answer in Step 3.
Dividing by a decimal number is easier!
- Count how many digits are after the decimal point (the dot) in both numbers. In the example 3.34 ÷ 0.2, the first number has two digits after the decimal point, and the second has one. 
- Multiply both numbers by 10 until the bottom is a whole number. Here, you need to do that once to get 33.4 ÷ 2. 
- Do the sum! Your answer is 16.7. 


