Question

skq-101 spring 2026
sections da, db, dc, & dd
classwork 3
draw a circle around your answer(s) for each question and show all of your work. the answers to these questions are available on page 134 of the textbook.
unit b exercise 17
write each of the following numbers in scientific notation.
a. 468
b. 126,547
c. 0.04
d. 9736.23
e. 12.56
f. 0.8642
unit b exercise 21
compare the numbers in each pair, and give the factor by which the numbers differ.
example: (10^6) is (10^2), or 100, times as large as (10^4).
a. (10^{24}), (10^{18})
b. (10^{17}), (10^{27})
c. 1 trillion, 1 million
unit b exercise 9
use an order of magnitude estimate to decide whether the following statement makes sense or does not make sense. explain your reasoning.
“i read a book that had (10^5) words in it.”

Explanation:

Unit B Exercise 17

Step1: Rewrite number to scientific form

Scientific notation is $a \times 10^n$ where $1 \leq a < 10$, $n$ integer.
a. $468 = 4.68 \times 10^2$

Step2: Rewrite number to scientific form

b. $126,547 = 1.26547 \times 10^5$

Step3: Rewrite number to scientific form

c. $0.04 = 4 \times 10^{-2}$

Step4: Rewrite number to scientific form

d. $9736.23 = 9.73623 \times 10^3$

Step5: Rewrite number to scientific form

e. $12.56 = 1.256 \times 10^1$

Step6: Rewrite number to scientific form

f. $0.8642 = 8.642 \times 10^{-1}$

Step1: Find ratio of larger to smaller

a. $\frac{10^{24}}{10^{18}} = 10^{24-18} = 10^6$

Step2: Find ratio of larger to smaller

b. $\frac{10^{27}}{10^{17}} = 10^{27-17} = 10^{10}$

Step3: Convert to powers of 10 first

1 trillion = $10^{12}$, 1 million = $10^6$. $\frac{10^{12}}{10^6} = 10^{6}$

$10^5 = 100,000$. A typical full-length book has 50,000 to 100,000 words, so a 100,000-word book is realistic.

Answer:

a. $\boldsymbol{4.68 \times 10^2}$
b. $\boldsymbol{1.26547 \times 10^5}$
c. $\boldsymbol{4 \times 10^{-2}}$
d. $\boldsymbol{9.73623 \times 10^3}$
e. $\boldsymbol{1.256 \times 10^1}$
f. $\boldsymbol{8.642 \times 10^{-1}}$

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Unit B Exercise 21