Rounding with Decimals
Significant Figures
Scientific Notation
Absolute Error
Percentage Error
100

Round 4.056 to 1 dec place.

4.1

100

How many significant figures does 450 000 have?

6

100

Express 360 000 in scientific notation.

3.6 x 105

100

What is the smallest unit of measurement in 6.718 kg

0.001 kg

100

What is the percentage error of 170cm if I measure to the nearest cm?

PE = 0.5/170 x 100

     = 0.29% (2dp)

200

Round 0.0054 to 3 decimal places.

0.005

200

How many significant figures does 0.0056 have?

2

200

Express 0.000678 in scientific notation.

6.78 x 10-4

200

What is the absolute error of 3.2 mm?

Smallest unit of measurement = 0.1mm

Absolute error = 1/2 x 0.1 = 0.05


200

What is the percentage error of a measurement of 60.1kg?

PE = 0.05/60.1 x 100

= 0.083%

300

Round 345.6789 to 2 decimal places.

345.68

300

Round 9 856 000 to 2 significant figures.

9 900 000

300

Express 9.67 x 10-8 in normal form.

0.0000000967

300

What are the upper and lower bounds of 173.45 cm?

Upper bound = 173.455

Lower Bound = 173.445

300

The percentage error of a measurement that was rounded to the nearest kg was 0.09%. What was the measurement?

55.3

400

Round 0.00899 to 4 decimal places.

0.0090

400

Round 0.00076325 to 3 significant figures.

0.000763

400

Write 0.0000000000000975 in scientific notation.

9.75 × 10-14

400

The base and height of a triangle are 3.1m and 4.4m respectively. What are the upper and lower bounds of these measurements?

Upper bounds = 3.15, 4.45

Lower Bounds = 3.05, 4.35

400

A door is measured to be 2.6m long. Find the absolute and percentage error.

AE = 0.05

PE = 0.5/2.6 x 100

= 19.23%

500

Round 7.356 x 10-3 to the nearest thousandth. Leave your answer in decimal form.

0.007

500

Evaluate (6.74 x 10-5) x (3.24 x 10-3). Leave your answer in scientific notation and round it to 2 significant figures.

2.2 x 10-7

500

If a star's luminosity is 2.5 x 1030 watts and it emits light for 3.15 x 107 seconds in a year, what is the total energy emitted by the star in a year, expressed in scientific notation?

E = 7.875 x 1037 watts

500

What are the maximum and minimum areas of a triangle with a height of 6 and a base of 12?

Upper bounds = 6.5, 12.5

Lower bounds = 5.5, 11.5

Max Area = 40.625

Min Area = 31.265

500

I measure my height as 175cm. I re-measure it more accurately and measure 175.6cm. What is the difference in percentage error of these measurements?

PE = 0.5/175 x 100 = 0.29%

PE = 0.05/175.6 x 100 = 0.028%

Difference = 0.262

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