In this activity, we will use trial and improvement to solve equations.
Solve a2 = 54 giving the answer to 1 decimal place.
Try a value you think will be close to the answer.
a = 7 a2 = 49 This is too small. Try a bigger value.
a = 8 a2 = 64 This is too big. Try between 7 and 8.
a = 7.5 a2 = 56.25 Now let's try halfway. Too big. Try a smaller number.
a = 7.3 a2 = 53.29 Too small.
a = 7.4 a2 = 54.76 Too big.
a = 7.35 a2 = 54.02 Let's try halfway between 7.3 and 7.4. Too big.
The value of a is closer to 7.3 than 7.4
Answer to 1 decimal place is a = 7.3
Let's have a go at some questions now.