Fill in the blank spaces including the space for the raised to the power numbers.
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1. Find the value of the following and write your answers in standard form.
a) (3.8 × 10^{5}) + (4.6 × 10^{4})
= × ^{ }
1. Find the value of the following and write your answers in standard form.
b) (4.07 × 10^{7}) – (5.1 × 10^{6})
= × ^{ }
1. Find the value of the following and write your answers in standard form.
c) (6.5 × 10^{7}) – (4.9 × 10^{6})
= × ^{ }
1. Find the value of the following and write your answers in standard form.
d) (3.15 × 10^{9}) + (7.0 × 10^{6})
= × ^{ }
1. Find the value of the following and write your answers in standard form.
e) (8.93 × 10^{10}) – (7.8 × 10^{9})
= × ^{ }
1. Find the value of the following and write your answers in standard form.
f) (7.9 × 10^{9}) + (5.8 × 10^{8})
= × ^{ }
1. Find the value of the following and write your answers in standard form.
g) (8.8 × 10^{5}) + (6.3 × 10^{7})
= × ^{ }
2. Deduce the value of n in each of the following cases.
a) 0.00025 = 2.5 × 10^{n}
=
2. Deduce the value of n in each of the following cases.
b) 0.0002^{n} = 8 × 10^{-12}
=
2. Deduce the value of n in each of the following cases.
c) 0.00357 = 3.57 × 10^{n}
=
2. Deduce the value of n in each of the following cases.
d) 0.004^{2}= 1.6 × 10^{n}
=
2. Deduce the value of n in each of the following cases.
e) 0.000 000 06 = 6 × 10^{n}
=
2. Deduce the value of n in each of the following cases.
f) 0.00065^{2} = 4.225 × 10^{n}
=
If x = 2 × 10^{5} and y = 3 × 10^{-3} correct to one significant figure, find the greatest and least possible values of
a) xy
(hint: find upper and lower bounds of a and b )
= × ^{ }, × ^{ }
If x = 2 × 10^{5} and y = 3 × 10^{-3} correct to one significant figure, find the greatest and least possible values of
b) ^{x}/_{y}
(hint: find upper and lower bounds of a and b )
= × ^{ }, × ^{ }
= × ^{ }