De La Salle University

MATH MATH110 College Algebra
Estimation and Approximation
1. Write down the value of 17.049 correct to:
(a) one significant figure
(b) one decimal place
2. Express, correct to 2 significant figures:
(a) 368.517
(b) 0.060 486
3. Express, correct to 3 significant figures:
(a) 4.718 5
(b) 376 490
(c) 0.003 895 2
4. Express 403.97 correct to:
(a) 1 decimal place
(b) 2 significant figures
5. Evaluate 80 1 – 5.4 ÷ 10, giving your answer correct to:
(a) 2 decimal places
(b) 3 significant figures
6. Express 578.093 8 correct to:
(a) 4 significant figures
(b) the nearest 100
(c) 2 decimal places
(d) the nearest thousandth
7. Calculate 38.39 + 37.69 – 42.84, rounding off to:
(a) 1 decimal place
(b) 2 significant figures
8. Write 904.961 correct to:
(a) the nearest whole number
(b) three significant figures
(c) two decimal places
9. (a) Express 0.000 784 6 correct to 2 significant figures.
(b) Estimate the value of the following, giving the answer to one significant figure:
(i) 30.9´ 98.6
(ii) 9.784 49.82
Prepared By: Aldrin Nofies
2.99
0.299
1.925
1.69
10. Round off:
(a) 0.056 75 to 3 decimal places
(b) 4.952 to 2 significant figures
(c) $ 345 597 124 to the nearest $100 000
11. (a) Express 418.005 correct to 5 significant figures.
12. (a) Express 0.004 57 correct to 2 significant figures.
14. (a) Estimate the value of 12.01 ´ 0.048 to one significant figure. [2]
(b) Using your result in (a), estimate the value of 12.01 ´ 0.048 , correct to one significant figure. [3]
15. (a) Estimate 1.793 ´ 0.000 979 correct to 1 decimal place. [1]
(b) Express 0.052 639 81 correct to 5 significant figures. [1]
(c) Estimate 31.205 ´ 4.97 correct to one significant figure. [2]
16. Estimate, correct to 1 significant figure, the value of:
(a) 61.994 06 – 29.980 78
(b) 1.592 81.09
17. (a) Express, correct to 2 significant figures:
(i) 349.614
(ii) 0.020 285
(b) Hence estimate, correct to 1 significant figure, the value of:
349.614 ´ 0.020 285
(c) Express, correct to 2 significant figures:
(i) 24.988
(ii) 39.681 7
(iii) 198.97
18. (a) Express 0.006 45 correct to two significant figures.
(b) Estimate, correct to 1 significant figure, the value of 64.967 02 – 36.230 87.
19. (a) Write down the value of 27.049 correct to:
(i) one significant figure
(ii) one decimal place
(b) Estimate the value of 85.12, giving your answer correct to one significant figure.
20. A box contains five bags of sugar. Each bag of sugar has a mass of 540 g, correct to the nearest gram. The box
has a mass of 70g, correct to the nearest gram. Find the largest possible value of:
(a) the mass of 1 bag of sugar,
(b) the total mass of the 5 bags of sugar and the box.