● 2 5.1 Using zero and negative powers 93A 1 Work out the value of these expressions . a 3 2 ........................................................................................ b 8 2 ........................................................................................ c 4 3 ........................................................................................ d 2 5 ........................................................................................ e ( 2 5 ) 2 ........................................................................................ f 6 2 ........................................................................................ g (-3) 3 ........................................................................................ h 10 5 ........................................................................................ i 2 6 ........................................................................................ j ( 3 8 ) 2 ........................................................................................ k 5 3 ........................................................................................ l (-9) 2 ........................................................................................ 2 Work out the value of these expressions. a 6 0 ........................................................................................ b 7 –1 ........................................................................................ c 19 0 ........................................................................................ d 3 –1 ........................................................................................ e 2 –1 ........................................................................................ f 5 –1 ........................................................................................ g 6 –1 ........................................................................................ h (-2) –1 ........................................................................................ i 4 –1 ........................................................................................ j 10 –1 ........................................................................................ k 7 0 ........................................................................................ l (-4) –1 ........................................................................................ 3 Work out the value of these expressions. a 5 –2 ........................................................................................ b 7 –2 ........................................................................................ c 2 –3 ........................................................................................ d 9 –2 ........................................................................................ e 6 –2 ........................................................................................ f 3 –3 ........................................................................................ g 8 –2 ........................................................................................ h 10 –4 ........................................................................................ i 5 –3 ........................................................................................ j 2 –4 ........................................................................................ k 4 –2 ........................................................................................ l 2 –7 ........................................................................................ Guided practice worksheet Remember that 2 4 = 2 × 2 × 2 × 2 = 16 1 Remember that a 0 = 1, a –n = –– a n Hint Take care with signs. B Questions are targeted at the grades indicated
11
Embed
Guided practice worksheet - mrvahora · 2 5.2 Using standard form 95B 3 Write these numbers in standard form. ... 2 5.3 Working with fractional indices 97A 1 Write down the value
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
�2 5.1 Using zero and negative powers
93A
1 Work out the value of these expressions.
a 32 ........................................................................................ b 82 ........................................................................................
c 43 ........................................................................................ d 25 ........................................................................................
f 62 ........................................................................................
g (−3)3 ........................................................................................ h 105 ........................................................................................
i 26 ........................................................................................ j (38)2
k 53 ........................................................................................ l (−9)2 ........................................................................................
2 Work out the value of these expressions.
a 60 ........................................................................................ b 7–1 ........................................................................................
c 190 ........................................................................................ d 3–1 ........................................................................................
e 2–1 ........................................................................................ f 5–1 ........................................................................................
g 6–1 ........................................................................................ h (−2)–1 ........................................................................................
i 4–1 ........................................................................................ j 10–1 ........................................................................................
k 70 ........................................................................................ l (−4)–1 ........................................................................................
3 Work out the value of these expressions.
a 5–2 ........................................................................................ b 7–2 ........................................................................................
c 2–3 ........................................................................................ d 9–2 ........................................................................................
e 6–2 ........................................................................................ f 3–3 ........................................................................................
g 8–2 ........................................................................................ h 10–4 ........................................................................................
i 5–3 ........................................................................................ j 2–4 ........................................................................................
k 4–2 ........................................................................................ l 2–7 ........................................................................................
a 6000 ................................................................................. b 200 ....................................................................................
c 5 000 000 ........................................................................ d 76 000 ..............................................................................
e 23 ..................................................................................... f 92 100 000 ......................................................................
g 2850 ................................................................................ h 812 000 ............................................................................
k 30 ..................................................................................... l 2318 .................................................................................
a 8 × 102 ............................................................................ b 6 × 104 .............................................................................
c 7 × 101 ............................................................................ d 2 × 105 ............................................................................
e 5 × 100 ............................................................................ f 8.3 × 104 .........................................................................
g 9.3 × 102 .......................................................................... h 6.07 × 105 .......................................................................
Guided practice worksheet Questions are targeted at the grades indicated
B
�2 5.2 Using standard form
95B
3 Write these numbers in standard form.
a 0.0008 ............................................................................. b 0.06 ..................................................................................
c 0.000 002 ....................................................................... d 0.9 ....................................................................................
e 0.036 ............................................................................... f 0.000 872 .......................................................................
g 0.000 005 62 ................................................................. h 0.080 54 .........................................................................
k 0.003 ............................................................................... l 0.004 523 .......................................................................
a 5 × 10–3 ........................................................................... b 8 × 10–2 ...........................................................................
c 7 × 10–4 ........................................................................... d 1 × 10–1 ...........................................................................
e 3 × 10–6 ........................................................................... f 9.2 × 10–3 .......................................................................
g 3.5 × 10–2 ...................................................................... h 8.04 × 10–6 .....................................................................
Rewrite each number so that it is in standard form.
a 67 × 102 ......................................................................... b 85 × 105 ..........................................................................
c 0.027 × 104 .................................................................... d 156 × 108 .......................................................................
e 0.0093 × 106 ................................................................. f 721 × 10–3 ......................................................................
g 38 × 10–2 ......................................................................... h 0.034 × 10–3 ..................................................................
a 52 ............................................................................. b 23 .............................................................................
c 82 ............................................................................. d 103 .............................................................................
e 42 .............................................................................
2 Write down the value of
a 9 .............................................................................
b 83 .............................................................................
c 100 .............................................................................
d 1253 .............................................................................
e 4 .............................................................................
3 Work out the value of
a 6412
............................................................................. b 25
a 5–2 ............................................................................. b 6–2 .............................................................................
c 3–3 ............................................................................. d 2–5 .............................................................................
e 10–4 .............................................................................
6 Work out the value of
a 2512–
............................................................................. b 8
a 12 3= k ............................................................................. b 75 3= k .............................................................................
c 27 3= k ............................................................................. d 108 3= k .............................................................................
a 20 5= k ............................................................................. b 98 2= k .............................................................................
c 28 7= k ............................................................................. d 44 11= k .............................................................................
a 72 ......................................................................................... b 80 ...........................................................................................
c 128 ......................................................................................... d 300 ...........................................................................................