# N5

## Question: Calculate the following (Non-calculator): 𝑎) $2.86 \div 0.2$𝑏)  $14.56 \div 0.56$c)  $2.55 \times 6.4$

a) To divide decimals, we want to multiply them both by the same power of 10, such that they’re no longer decimals. In this case, if we multiply both numbers by 100, we can then work out

$286 \div 20$

And the answer will be the same as the answer to $2.86\div 0.2$. Now you can use your preferred method of division. Opting for the bus stop method here, we get

Therefore, the solution is

$2.86 \div 0.2 = 14.3$

b) To divide decimals, we want to multiply them both by the same power of 10, such that they’re no longer decimals. In this case, if we multiply both numbers by 100, we can then work out

$1,456 \div 56$

And the answer will be the same as the answer to $14.56\div 0.56$. Now you can use your preferred method of division. Opting for the bus stop method here, we get

Therefore, the solution is

$14.56 \div 0.56 = 26$

c)  $2.55 \times 6.4$

$2 \times 6 = 12$

$0.5 \times 6 = 3$

$0.05 \times 6 = 0.3$

$2 \times 0.4 = 0.8$

$0.5 \times 0.4 = 0.2$

$0.05 \times 0.4 = 0.02$

Now we need to add up our results

$12+3+0.3+0.8+0.2+0.02 =16.32$