Chapter 10: MATH

Question 1

Multiplying and dividing to the power of numbers

Answer 1

When multiplying you add them and when diving you subtract

(10^2) x (10^5)= 10^7

(10^2)/ (10^5)= 10^-3

Question 2

Rounding

Answer 2

When rounding numbers to be multiplied, round one number up and one number
down to compensate. When rounding numbers to be divided, round both numbers in the same direction to compensate.

Example:
Estimate the value of 15.4 ÷ 3.80.

Solution:
Estimations in division should be made by shi􀈇ing both numbers in the same
direction. It is o􀈇en easier to adjust the divisor first to simplify calculations. If we
round the divisor up to 4, we should round the dividend up accordingly. In this case, it
makes sense to round the dividend up to 16—which is not only a whole number, but
also a multiple of 4. Our estimate is 16 ÷ 4 = 4. Note that, despite this very rough
adjustment, we are still very close to the true value of 4.05.

Question 3

Sin, cos, tan

Answer 3

Angle Sin Cos Tan

0 0 1 1

30 0.5 0.86 0.86

45 0.7 0.86 1

60 0.86 0.5 1.7

90 1 0 0

180 0 -1 0

Question 4

Factor Prefix Abbreviation

Answer 4

Factor Prefix Prefix Abbreviation
1012 tera– T
109 giga– G
106 mega– M
103 kilo– k
102 hecto– h
101 deka– da
10−1 deci– d
10−2 centi– c
10−3 milli– m
10−6 micro– μ
10−9 nano– n
10−12 pico– p