Samuel is playing a card game. After each round, he either gains or loses points. Samuel starts with a score of 150. The table shows a record of his last five games. Complete the total score column in the table.
So we can see that he begins with 150 points. And then, after his first game, he gained 23.4 points, which meant that his total score was 173.4. And this was calculated by adding the 23.4 points gained in game one to the total score of 150. So great, we get our 173.4. Now we have to work out the next four values.
It’s worth noting that if there’s a point gained, then we’re gonna add the values to the total score. And if the game has points lost, then we’re gonna subtract this from the total score. So let’s move on to the total score after game two. So to work out this, what we’re gonna do is we’re gonna add 47.6, which is the number of points gained in game two, to the total score after game one, which was 173.4. And we could do this using a calculator. When we add them together, we’re gonna get 221.
If we did, however, want to use a written method, we could use column addition. And to use this, what we do, we’d have to line up all the place values and the decimal point. And then, we’d have, first of all, four add six, which is 10. So we would write a zero in the tenths column. Then we would have a decimal point. And then we carry the one into the units column. And then we would have three add seven, which is 10, add the one we carried is 11. So we put one in the units column and carry a one into the tens column. Then we’d have seven add four, which is 11, add the one that we carried gives us 12. So we put two in the tens column, carry the one. And then finally, we’ve got one in the hundreds column add the one that we carried gives us two. So we’ve got 221. So we’ve got the same value we got when we worked out the value using a calculator. And this is just the method we could’ve used if we wanted to use a written method.
Okay, so now let’s move on to game three. Well, if we take a look at game three, in game three, Samuel loses 102.37 points. So therefore, we’re gonna subtract this from 221, which’s gonna give a value of 118.63. Again, we can use a calculator for this. But if we wanted to use a written method, I’ll show you an example again here. So we’ve got 221 minus 102.37. I’ve put a couple of zeros to line everything up with our place values.
Well first of all, we’ve got zero minus seven, which we can’t do . It’s not seven minus zero . It’s gonna be zero minus seven. So we’re gonna have to borrow from the next place value. Well, again, we’ve got zero. So we can’t borrow from here. So we’ve to go up to the units and borrow from here. So when we borrow from the units, this now goes to zero. And we go down to the tenths. And we have 10 but borrow from that. So now we’ve got nine tenths. And we’ve got 10 hundredths. Okay, so 10 minus seven is three. Nine minus three is six. Then we have our decimal point. Then, we’ve got zero minus two, which we can’t do. So we’ve to borrow again. So when we borrow from the tens, we’ve now got 10 minus two, which is eight. We’ve got one minus zero, which is one, and then finally two minus one, which is one. So it leaves us with 118.63. Okay, great. Let’s move on to our next row.
So again, after game four, this time we’re gonna add points because it says the points gained are 58.7. So we add 58.7 to 118.63, which gives a value of 177.33. So now finally, we move on to the final row, which is after the fifth game. And after the fifth game, we’re gonna have 177.33 minus 74.65. And that’s because 74.65 points were lost in the fifth game, which gives a final total of 102.68 points. So therefore, we fully answered the question because we’ve completed the score column.
And we’ve got 221, 118.63, 177.33, and 102.68.