Work out 500 + 145
Addition — Notes & Worked Examples Show / Hide
Explanation:
To add whole numbers or decimals without a calculator, write the numbers in vertical columns with their place values lined up (units under units, tens under tens, and decimal points in a vertical line). If decimals have different lengths, fill any empty spaces at the end with placeholder zeros so every number has the same number of decimal places.
Add each column from right to left. Whenever a column adds up to 10 or more, write down the units digit in the answer row and carry the tens digit underneath the next column to the left. Remember to add any carried digits into the next column.
Example 1: Work out 4786 + 859
Solution:
| 4 | 7 | 8 | 6 | |
| + | 8 | 5 | 9 | |
| 5 | 6 | 4 | 5 | |
| 1 | 1 | 1 |
Units: 6 + 9 = 15 (5, carry 1)
Tens: 8 + 5 + 1 = 14 (4, carry 1)
Hundreds: 7 + 8 + 1 = 16 (6, carry 1)
Thousands: 4 + 1 = 5
Answer: 5645
Example 2: Work out 34.6 + 7.08 + 125.45
Solution:
| 3 | 4 | . | 6 | 0 | ||
| 7 | . | 0 | 8 | |||
| + | 1 | 2 | 5 | . | 4 | 5 |
| 1 | 6 | 7 | . | 1 | 3 | |
| 1 | 1 | 1 |
Write 34.6 as 34.60 (2 d.p.)
0.01s: 0 + 8 + 5 = 13 (3, carry 1)
0.1s: 6 + 0 + 4 + 1 = 11 (1, carry 1)
Units: 4+7+5+1 = 17 (7, carry 1)
Answer: 167.13
Put the numbers 1, 2, 3, 4 and 6 into the circles so that
each line of three numbers multiplies to 12
the total of the vertical line is one more than the total of the horizontal line.
each line of three numbers multiplies to 12
the total of the vertical line is one more than the total of the horizontal line.
Use each number once.
Answer
Worked Solution & Answer
Common factor is 1 in the centre: vertical line = 2 × 1 × 6 = 12 with sum 2 + 1 + 6 = 9 M1
horizontal line = 3 × 1 × 4 = 12 with sum 3 + 1 + 4 = 8
Since 9 = 8 + 1, all conditions are met. A1
horizontal line = 3 × 1 × 4 = 12 with sum 3 + 1 + 4 = 8
Since 9 = 8 + 1, all conditions are met. A1
Answer: Answer Centre: 1; Vertical: 2 and 6; Horizontal: 3 and 4
Work out.
(a) 6.3 + 4.7 [1 mark]
(b) £4.50 - £0.27 [1 mark]
£
Worked Solution & Answer
(a)
6.3 + 4.7 = 11. B1
Answer (a): 11
(b)
4.50 − 0.27 = £4.23. B1
Answer (b): £ 4.23
Work out.
(a) 0.35 + 6.2 [1 mark]
(b) 4.8 ÷ 8 [1 mark]
Worked Solution & Answer
(a)
0.35 + 6.20 = 6.55. B1
Answer (a): 6.55
(b)
48 ÷ 8 = 6 ⇒ 4.8 ÷ 8 = 0.6. B1
Answer (b): 0.6
Work out
(a) Work out 364.5 + 17.9 - 2.08
5 (b) Work out 9.36 × 2
(a) Work out 364.5 + 17.9 - 2.08
5 (b) Work out 9.36 × 2
(a) Work out 364.5 + 17.9 - 2.08 [2 marks]
Answer
(b) Work out 9.36 × 2 [1 mark]
Answer
Worked Solution & Answer
(a)
First addition: M1
364.50 + 17.90 = 382.40
Then subtraction:
382.40 - 2.08 = 380.32 A1
364.50 + 17.90 = 382.40
Then subtraction:
382.40 - 2.08 = 380.32 A1
Answer (a): Answer 380.32
(b)
9.36 × 2 = 18.72 B1
Answer (b): Answer 18.72
Anil has a job as a driver.
He is paid for each mile he drives.
He is also paid expenses.
One week Anil writes down the distance readings from his car.
He is paid for each mile he drives.
He is also paid expenses.
One week Anil writes down the distance readings from his car.
For this week, Anil is paid 47p for each mile he drives.
He is also paid expenses of £80
Work out the total amount that Anil is paid.
Give your answer in pounds.
He is also paid expenses of £80
Work out the total amount that Anil is paid.
Give your answer in pounds.
£
Worked Solution & Answer
Miles driven = 47 879 – 47 241 = 638 miles M2
Mileage pay = 638 × £0.47 = £299.86 M1
Total paid = £299.86 + £80 = £379.86 A1
Mileage pay = 638 × £0.47 = £299.86 M1
Total paid = £299.86 + £80 = £379.86 A1
Answer: £ 379.86
Harry is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for **each** person.
Here are the costs for the holiday for **each** person.
Work out the total cost of the holiday for 4 people for 7 days.
£
Worked Solution & Answer
Cost for 1 person = £150 + (7 × £50) + £250 = £150 + £350 + £250 = £750 M3
Total for 4 people = 4 × £750 = £3000 A1
Total for 4 people = 4 × £750 = £3000 A1
Answer: £ 3000
Myles writes down the distance readings from his car at the start and end of a journey.
Myles knows that the cost of petrol for this journey is 13p per mile.
Work out the total cost of the petrol used for this journey.
Give your answer in pounds.
Work out the total cost of the petrol used for this journey.
Give your answer in pounds.
£
Worked Solution & Answer
12 845 – 12 468 = 377 miles M3
377 × £0.13 = £49.01 A1
377 × £0.13 = £49.01 A1
Answer: £ 49.01
Work out.
(a) 45 × 100 [1 mark]
(b) 37 ÷ 100 [1 mark]
(c) 2.36 + 1.79 [1 mark]
(d) 0.82 - 0.36 [1 mark]
Worked Solution & Answer
(a)
45 × 100 = 4500. B1
Answer (a): 4500
(b)
37 ÷ 100 = 0.37. B1
Answer (b): 0.37
(c)
2.36 + 1.79 = 4.15. B1
Answer (c): 4.15
(d)
0.82 − 0.36 = 0.46. B1
Answer (d): 0.46
Work out
(a)(i) Work out.
3.08 + 0.82
(a)(ii) 7.7 ÷ 11
(b) Work out.
(2.1 - 35) × 0.3
Give your answer as a decimal.
(a)(i) Work out.
3.08 + 0.82
(a)(ii) 7.7 ÷ 11
(b) Work out.
(2.1 - 35) × 0.3
Give your answer as a decimal.
(a) Work out.
3.08 + 0.82 [1 mark]
3.08 + 0.82 [1 mark]
(b) 7.7 ÷ 11 [1 mark]
(b) Work out.
(2.1 - 35) × 0.3
Give your answer as a decimal. [3 marks]
(2.1 - 35) × 0.3
Give your answer as a decimal. [3 marks]
Worked Solution & Answer
(a)
3.08 + 0.82 = 3.90 = 3.9. B1
Answer (a): 3.9
(b)
77 ÷ 11 = 7 ⇒ 7.7 ÷ 11 = 0.7. B1
Answer (b): 0.7
(b)
3/5 = 0.6. M1
2.1 − 0.6 = 1.5. M1
1.5 × 0.3 = 0.45. A1
2.1 − 0.6 = 1.5. M1
1.5 × 0.3 = 0.45. A1
Answer (b): 0.45