Write 6324 correct to the nearest thousand.
Worked Solution & Answer
The hundreds digit is 3 (< 5), so 6324 rounds to 6000 B1
Answer: 6000
Rounding — Notes & Worked Examples Show / Hide
Explanation:
To round any number, find the target accuracy column and draw a vertical cut-off line immediately to its right. Look at the decider digit just after the line: if it is 5 or more (5, 6, 7, 8, 9), round the target digit up by 1; if it is 4 or less (0, 1, 2, 3, 4), keep the target digit the same.
For decimal places (d.p.), count digits after the decimal point. For significant figures (s.f.), start counting from the very first non-zero digit on the left, and use placeholder zeros for whole numbers if needed to keep the place value.
Example 1: Round 64 839 to:
(a) the nearest 100 (b) 2 significant figures
Solution:
(a) Hundreds digit is 8: 64 8 | 39
• Decider digit is 3 (< 5), so 8 stays 8 → 64 800
(b) 2nd s.f. is 4 (thousands): 64 | 839
• Decider is 8 (≥ 5), round 4 up to 5 and fill zeros → 65 000
Answers: (a) 64 800 (b) 65 000
Example 2: Round 0.07854 to:
(a) 2 decimal places (b) 2 significant figures
Solution:
(a) 2nd digit after point is 7: 0.07 | 854
• Decider is 8 (≥ 5), so 7 rounds up to 8 → 0.08
(b) First non-zero digit is 7, so 2nd s.f. is 8: 0.078 | 54
• Decider is 5 (≥ 5), so 8 rounds up to 9 → 0.079
Answers: (a) 0.08 (b) 0.079
Write 3758 correct to the nearest 1000
Worked Solution & Answer
Write 4.58 correct to 1 decimal place.
Worked Solution & Answer
Write 6184 correct to the nearest hundred.
Worked Solution & Answer
Write 4.666 correct to the nearest whole number.
Worked Solution & Answer
The table gives information about the amount of crude oil, in barrels, produced per day by each of six countries in 2015
(a) Write down the name of the country that produced the least number of barrels of crude oil. [1 mark]
(b) Work out the difference between the number of barrels of crude oil produced by Vietnam and the number of barrels of crude oil produced by Australia. [1 mark]
barrels
(c) Write 248 200 correct to the nearest thousand. [1 mark]
Worked Solution & Answer
(a)
Least is 213 300 = Gabon B1
Answer (a): Gabon
(b)
333 400 − 322 300 = 11 100 B1
Answer (b): 11 100 barrels
(c)
248 200 → 248 000 B1
Answer (c): 248 000
The table gives information about the lengths of five canals.
(a) Which of these canals has the least length? [1 mark]
(b) Write 77.1 correct to the nearest 10 [1 mark]
(c) How many years old was the Kiel Canal on June 20th 2000? [1 mark]
years
Worked Solution & Answer
(a)
Manchester
Answer (a): Manchester
(b)
80
Answer (b): 80
(c)
2000 − 1895 = 105 B1
Answer (c): 105 years
The table gives information about the weight of sugar produced by each of five countries in one year.
(a) Write the number 28 149 in words. [1 mark]
(b) Which of these five countries produced the greatest weight of sugar? [1 mark]
(c) Write down the value of the 8 in the number 23 787 [1 mark]
(d) Write the number 15 745 correct to the nearest thousand. [1 mark]
Worked Solution & Answer
(a)
28 149 in words C1
Answer (a): Twenty-eight thousand, one hundred and forty-nine
(b)
592 668 (Kenya) is largest B1
Answer (b): Kenya
(c)
8 is in tens column = 80 B1
Answer (c): 80
(d)
15 745 → 16 000 B1
Answer (d): 16 000
Nav found the following table that shows the age, in years, of each of seven cities.
(a) Write down the name of the city with the greatest age. [1 mark]
(b) Write the number 2534 in words. [1 mark]
(c) Write the number 2351 correct to the nearest ten. [1 mark]
(d) Work out the difference between the age of Cadiz and the age of Nanjing. [1 mark]
years
(e) What is the age of Jenin in whole millenniums? [1 mark]
millenniums
Worked Solution & Answer
(a)
5669 is largest B1
Answer (a): Gaziantep
(b)
Two thousand, five hundred and thirty-four
Answer (b): Two thousand, five hundred and thirty-four
(c)
2350
Answer (c): 2350
(d)
3124 – 2516 = 608 B1
Answer (d): 608 years
(e)
4469 ÷ 1000 = 4 whole millenniums B1
Answer (e): 4 millenniums
Here are some facts about JFK International Airport.
(a) Write down the value of the 2 in the number 4725 [1 mark]
(b) Write the number 1997 correct to the nearest thousand. [1 mark]
(c) How much further? [2 marks]
kilometres
(d) Change 14 kilometres into miles.
Use 8 kilometres = 5 miles. [2 marks]
Use 8 kilometres = 5 miles. [2 marks]
miles
Worked Solution & Answer
(a)
20 B1
Answer (a): 20 (or 2 tens)
(b)
2000
Answer (b): 2000
(c)
4725 – 2875 = 1850 km M1 A1
Answer (c): 1850 kilometres
(d)
(14 ÷ 8) × 5 = 8.75 miles M1 A1
Answer (d): 8.75 miles