\ said:
Very interesting this Dave, So it seems that the scientific calculator is working backwards, 2/2 =1, 1+2 =3 But how, why ???
Sorry Colin. Misread your reply so didn't answer.
There are two ways of doing this calculation. Either do the addition first to get two plus two (equals four) then divide by two to get the answer two.
Or you could do the division first to get two divided by two (equals one) plus two to get three.
The guys have mentioned BODMAS. This is/was a mathematical convention used to define the order in which multiple calculations should be carried out. This ensured that, at least in theory, when you wrote a multiple calculation, the rule made you write it in a specific order to ensure that it gave the result you wanted. It also made sure that anyone else would use the same rule to work it out.
Nowadays though, ALL simple calculators, and the calculators on SOME mobile phones - but not all - use sequential calculations; ie they do the calculation in the order it is written. But ALL scientific calculators and SOME mobile phones - but not all - use the old BODMAS rule. All this makes life very confusing for kids trying to learn maths today.
A couple of examples I use with my students:
Example 1
You want to buy an identity bracelet. The jeweller has quoted £50 for the bracelet and £2 per letter for the engraving. If you want the name DAVID engraved, how much will the bracelet cost?
Scientific calculator (BODMAS)
Cost of brace let = £50 + £2 × 5 = £60 Correct!
Normal cheap calculator
Cost of bracelet = £50 + £2 × 5 = £260 Wrong!
Example 2
You play for a local darts team which has just come third in the league. Your team receives £200 in prize money from the league and during the year you have collected £300 from selling raffle tickets. If there are 10 members on the team, how much should each receive?
Scientific calculator (BODMAS)
Amount received = £200 + £300 ÷ 10 = £230 Wrong!
Normal cheap calculator
Amount received = £200 + £300 ÷ 10 = £50 Correct!
It doesn't matter what rule you pick - BODMAS or Sequential - as long as you follow it and use it correctly. Where everything breaks down of course is when different people use different rules.
And here was you thinking how much easier it is for kids to do maths today than it was for you! You didn't have all these new-fangled gadgets like calculators and computers to do all the work for you!
Gern