Question

• 8. write each number in standard form: (51, 57)

a. $1.5 \times 10^7$
b. $2.5 \times 10^{-4}$
c. $10^{-1}$
d. $10^0$

• 9. compare: 2 gal $\bigcirc$ 8 liters (18, 50)

use a unit multiplier to help you make the comparison.
(1 liter = 1.06 qt)(1 gal = 4 qt)

1. divide 3.45 by 0.18 and write the answer rounded to the nearest whole number. (33, 45)

Explanation:

Problem 8

Part a

Step1: Recall scientific notation to standard form. For \(a\times10^{n}\), if \(n>0\), move decimal \(n\) places right.

\(1.5\times10^{7}\), \(n = 7\), move decimal 7 places right: \(15000000\)

Step2: Verify. \(1.5\times10000000 = 15000000\)

Step1: For \(a\times10^{-n}\), move decimal \(n\) places left. \(2.5\times10^{-4}\), \(n = 4\), move decimal 4 places left.

\(0.00025\)

Step2: Check. \(2.5\div10000=0.00025\)

Step1: Recall \(10^{-1}=\frac{1}{10}\)

\(\frac{1}{10}=0.1\)

Step2: Confirm. \(10^{-1}\) is reciprocal of \(10^{1}\), so \(0.1\)

Answer:

\(15000000\)

Part b