Question

for example: \\(\frac{3}{4} \
ightarrow 0.75 \
ightarrow 75\\%\\)

it is rare that we want a number as a fraction in chemistry. most often when we have fractions, we will need them converted into decimals instead.

you will use these conversions often in chemistry, especially when working with percentages, concentration, half lives, isotopes, and lab data. the more quickly you can move between fractions, decimals, and percentages, the easier later chemistry topics will become.

practice

1. in the number 7,294.63, what digit is in the:

a. hundreds place
b. tenths place
c. ones place

1. move the decimal:

a. \\(5.62 \times 10\\)
b. \\(5.62 \times 100\\)
c. \\(5.62 \div 10\\)
d. \\(5.62 \div 100\\)

1. convert:

a. \\(45\\%\\) to a decimal
b. 0.18 to a percent
c. \\(75\\%\\) to a fraction
d. 0.5 to a fraction

1. write 6/8 as:

a. a decimal
b. a percent

Explanation:

Identify place values in 7,294.63

$$
LATEXBLOCK0
$$

Perform decimal shifts

$$
LATEXBLOCK1
$$

Convert percentages, decimals, and fractions

$$
LATEXBLOCK2
$$

Answer:

Question 1

a. Hundreds place: 2
b. Tenths place: 6
c. Ones place: 4

Question 2

a. \(5.62 \times 10 =\) \(56.2\)
b. \(5.62 \times 100 =\) \(562\)
c. \(5.62 \div 10 =\) \(0.562\)
d. \(5.62 \div 100 =\) \(0.0562\)

Question 3

a. \(45\%\) to a decimal: \(0.45\)
b. \(0.18\) to a percent: \(18\%\)
c. \(75\%\) to a fraction: \(\frac{3}{4}\)
d. \(0.5\) to a fraction: \(\frac{1}{2}\)

Question 4

a. A decimal: \(0.75\)
b. A percent: \(75\%\)