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Power of <strong>Maths</strong>: Paper 1 – Section 1 Activity 9: Using scientific notation OBJECTIVE: To carry out a number of calculations in your head on numbers in scientific notation 1. Write the following in scientific notation: (a) The number of stars in the Andromeda galaxy (the closest galaxy to our Milky Way galaxy): 1000000000000 = (b) The mass of the Higgs boson (God particle): 0·0000000000000000000000002222 kg = kg (c) The speed of light: 300 000 000 m/s = m/s (d) The population of China: 1 400 000 000 = (e) The mass of the Earth: 6 000 000 000 000 000 000 000 000 kg = kg (f) A quintillion: 1 000 000 000 000 000 000 = (g) A ZB (zettabyte) of memory: 1 000 000 000 000 000 000 000 = Bytes (h) Planck’s constant: 0·00000000000000000000000000000000062 J s = J s (i) The temperature at the centre of the Sun: 15 700 000 K = (j) The diameter of the electron: 0·0000000000000056 m = K m 2. Write the following in the form a × 10 n , n ∈ Z, 1 ≤ a < 10. (a) 0·023 = (b) 1000 = (c) 0⋅00014 = (d) 2 = (e) 0·0000243 = (f) 12600000 = (g) 0·000012 = (h) 14 = (i) 267 = (j) 0·0000000057 = 10
Number 1 3. Write the following numbers, which are in scientific notation, in standard decimal form: (a) 3·0 × 10 −2 = (b) 4·12 × 10 −4 = (c) 3·57 × 10 5 = (d) 2 × 10 6 = (e) 5·6 × 10 −7 = (f) 6 × 10 −5 = (g) 1 × 10 −4 = (h) 1 × 10 5 = (i) 3·3 × 10 0 = (j) 7·8 × 10 8 = 4. Simplify the following without using your calculator. Give all answers in the form a × 10 n , 1 ≤ a < 10, n ∈ Z. (a) 2 × 10 3 × 3 × 10 2 = (b) 4·2 × 10 5 × 3 × 10 −3 = = (c) 7 × 10 3 × 8 × 10 5 = = (d) 1·6 × 10 −19 × 6 × 10 23 = (e) (3 × 10 8 ) 2 = (f) 6 × 10 −26 × (3 × 10 8 ) 2 = ______ (g) 4 × 10 8 2 × 10 = 4 _______ (h) 1 × 10 5 2 × 10 = = −3 (i) 6 × 1 0 −4 _______ 3 × 1 0 −5 = × = = (j) 3 × 10 −2 + 2 × 10 −3 = + = 11
Page 1 and 2: LEAVING CERTIFICATE MATHS HIGHER LE
Page 3 and 4: 1 Number SECTION Activity 1: Identi
Page 5 and 6: Number 1 Activity 3: Working with p
Page 7 and 8: Number 1 2. State which real number
Page 9 and 10: Number 1 __ Constructing a line of
Page 11: Number 1 (e) 1 __ 3 of 1 __ 6 = % (
Page 15 and 16: Number 1 Activity 11: Understanding
Page 17 and 18: Number 1 3. Round off the following
Page 19 and 20: Number 1 (c) R (d) H Slope = 4·8 S
Page 21 and 22: Number 1 (a) What can you say about
Page 23 and 24: Number 1 Activity 8 1. (a) 50% ( b)
Page 25 and 26: Activities in Power of Maths Paper
Page 27 and 28: Activities Activity 6 ACTION OBJECT
Page 29 and 30: Activities Activity 31 ACTION OBJEC
Page 31 and 32: Activities Chapter 9: Inequalities
Page 33 and 34: Activities Section 5: Financial Mat
Page 35 and 36: Activities Activity 16 ACTION Explo
Page 37 and 38: Activities Chapter 20: Quadratic Fu
Page 39 and 40: Activities Chapter 24: Applications

Maths

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