Standard Form Number Sense

“ will get family care soon” The actual number of families granted family care is This number has been rounded by the reporter to How many significant figures are there in the rounded number?

“ will get family care soon” The actual number of families granted family care is This number has been rounded by the reporter to How many significant figures are there in the rounded number? 3 as the number is rounded to the nearest thousand.

“ applications have been processed.” What is the lowest number of applications that this number represents? What is the highest number of applications that this number represents?

“ applications have been processed.” What is the lowest number of applications that this number represents? What is the highest number of applications that this number represents?

Complete the table. Actual number Rounded to the nearest Correct choice Number of sig. fig

Complete the table. Actual number Rounded to the nearest Correct choice Number of sig. fig

A sack of coal weighs 50 kg to the nearest kilogram. What weights would be acceptable for the following? The least weight. The greatest weight.

A sack of coal weighs 50 kg to the nearest kilogram. What weights would be acceptable for the following? The least weight kg The greatest weight … kg

A sack of coal weighs 50 kg to the nearest kilogram. Which of these weights represents a short weighing? 49.6 kg 49.4 kg kg 49.5 kg

A sack of coal weighs 50 kg to the nearest kilogram. Which of these weights represents a short weighing? 49.6 kg 49.4 kg - will round to 49 kg kg - will round to 49 kg 49.5 kg

An AA sign tells motorists that Hamilton is 56 km away. Where in Hamilton is the distance 56 km measured to? A motorist checks her odometer and notes the distance to be 55.8 km. Who is correct, the motorist or the AA?

An AA sign tells motorists that Hamilton is 56 km away. Where in Hamilton is the distance 56 km measured to? The central post office. A motorist checks her odometer and notes the distance to be 55.8 km. Who is correct, the motorist or the AA? Both are correct. The AA has rounded the distance to the nearest whole number.

Complete the table. ServiceFee ($)Rounded to nearest Rounded fee Sig. Fig. Electrician $14 Surgeon1303 $10 Solicitor1297 $100

Complete the table. ServiceFee ($)Rounded to nearest Rounded fee Sig. Fig. Electrician $1$13004 Surgeon1303 $10$13003 Solicitor1297 $100$13002

Standard Notation (Scientific Form) This number does not fit into most calculators. The number can be written as or 1 x

Write the following numbers in power form. The distance to the nearest star is about km. When 1 kg of mass is completely converted to energy it produces about joules of energy. The number of atoms in your body is about

Write the following numbers in power form. The distance to the nearest star is about km When 1 kg of mass is completely converted to energy it produces about joules of energy The number of atoms in your body is about

Write the following in decimal form. 3.6 x 10 = 3.6 x 10 2 = 3.6 x 10 3 = 4.3 x 10 5 = 1.03 x 10 7 =

Write the following in decimal form. 3.6 x 10 = x 10 2 = x 10 3 = x 10 5 = x 10 7 =

Standard form 9.63 x 10 4 is in standard form x 10 3 is not in standard form.

Which of the following are in standard form? 9.8 x x x x x x x 10 8

Which of the following are in standard form? 9.8 x 10 3 Yes 98 x 10 2 No 980 x 10 1 No 3.4 x 10 5 Yes 0.34 x 10 6 No x 10 7 No 11.8 x 10 8 No

Write the following in scientific notation (standard form) The speed of light ≈ m/s The volume of the earth ≈ cubic kilometres. The length of the equator ≈ km. The distance sound travels in one minute ≈ m.

Write the following in scientific notation (standard form) The speed of light ≈ m/s 3 x 10 8 The volume of the earth ≈ cubic kilometres x The length of the equator ≈ km x 10 4 The distance sound travels in one minute ≈ m x 10 4

Complete the table. (Sig. fig. are underlined) AmountRounded to nearest Number sig. fig. Standard form Cent x x x 10 2

Complete the table. (Sig. fig. are underlined) AmountRounded to nearest Number sig. fig. Standard form Cent x c x $ x $ x $10014 x 10 2

Light from the Great Galaxy in Andromeda takes about 2.3 x 10 6 years to reach Earth. Light travels at about x 10 5 km/s. How many sig. fig. in 2.3 x 10 6 ? How many sig. fig. in x 10 5 ? How many seconds are there in 2.3 x 10 6 years? Round your answer to 2 sig. fig. Distance = speed x time. What is the distance from Earth to the Great Galaxy in Andromeda?

Light from the Great Galaxy in Andromeda takes about 2.3 x 10 6 years to reach Earth. Light travels at about x 10 5 km/s. How many sig. fig. in 2.3 x 10 6 ? 2 How many sig. fig. in x 10 5 ? 4 How many seconds are there in 2.3 x 10 6 years? 2 Round your answer to 2 sig. fig. Distance = speed x time. What is the distance from Earth to the Great Galaxy in Andromeda? 2.3 x 10 6 x x 24 x 60 x 60 x x 10 5 = 2.2 x km

The speed of light is about x 10 5 km/s. Light from the Sun takes 5.00 x 10 2 seconds to reach Earth. How far is the Earth from the Sun? (Round sensibly.)

The speed of light is about x 10 5 km/s. Light from the Sun takes 5.00 x 10 2 seconds to reach Earth. How far is the Earth from the Sun? (Round sensibly) x 10 5 x 5.00 x 10 2 = 1.50 x 10 8 km Rounded to 3 sig. fig.

The surface area of a sphere of radius r is about ( x 10 1 ) x r 2. The radius of the earth is about 6.37 x 10 6 metres. Find the surface area of the earth in A.square metres B.square kilometres

The surface area of a sphere of radius r is about ( x 10 1 ) x r 2. The radius of the earth is about 6.37 x 10 6 metres. Find the surface area of the earth in A.square metres 5.64 x B.square kilometres 5.64 x 10 8

Write in power form

Write in power form

Complete the table

Complete the table / / /8

Complete the table

Complete the table / /

Write the following as fractions

Write the following in standard form x x x x x 10 -2

A proton is moving at 2.8 x 10 8 m/s in a cyclotron. How far will the proton travel in 3.2 x seconds?

A proton is moving at 2.8 x 10 8 m/s in a cyclotron. How far will the proton travel in 3.2 x seconds? 8960 m = 9.0 x 10 3 m (2 sig. fig.)

Another proton moves 2.3 x m in 9.7 x s. What is its speed (to 2 sig. fig.)?

Another proton moves 2.3 x m in 9.7 x s. What is its speed (to 2 sig. fig.)? 2371 m/s = 2.4 x 10 2 m/s

Complete this estimate

Estimate and then work out the following.