Question

match the following decimals and percents below.
10 1.9
11 0.9
12 0.09
13 0.99
14 1.09
15 0.009
16 a packing box is filled $\frac{4}{5}$ of the way with packing peanuts. what decimal represents the fraction of the box filled with packing peanuts?
17 marcy lives 1.15 miles away from her grandma. what fraction represents the distance between marcys house and her grandmas?
18 nineteen of the 20 students in mrs. gonzalezs science class are attending the field trip. what decimal best represents the portion of the class that attends the trip?
19 the store is marking their price up 145%. what fraction best represents 145%?
20 a student receives a 95% on their math test. which of the follow values are equivalent to 95%? circle all that apply.
a) 9.5 b) 0.95 c) $\frac{19}{20}$ d) $\frac{95}{100}$

Explanation:

Step1: Convert decimals to percentages

To convert a decimal to a percentage, multiply by 100.

1. For 1.9: $1.9\times100 = 190\%$ (matches d).
2. For 0.9: $0.9\times100=90\%$ (matches e).
3. For 0.09: $0.09\times100 = 9\%$ (matches f).
4. For 0.99: $0.99\times100=99\%$ (matches b).
5. For 1.09: $1.09\times100 = 109\%$ (matches a).
6. For 0.009: $0.009\times100=0.9\%$ (matches c).

Step2: Convert fraction to decimal for box - packing problem

To convert $\frac{4}{5}$ to a decimal, divide 4 by 5.
$4\div5 = 0.8$

Step3: Distance as a fraction

The distance of 1.15 miles as a fraction: $1.15=\frac{115}{100}=\frac{23}{20}$

Step4: Portion of students on field - trip as a decimal

19 out of 20 students are going on the field - trip. To find the decimal, divide 19 by 20.
$19\div20 = 0.95$

Step5: Convert percentage to fraction for price - marking problem

To convert 145% to a fraction, write it as $\frac{145}{100}=\frac{29}{20}$

Step6: Equivalent values for 95%

95% as a decimal is 0.95, and as a fraction is $\frac{95}{100}=\frac{19}{20}$. So the equivalent values are b) 0.95, c) $\frac{19}{20}$, d) $\frac{95}{100}$

Answer:

1. d) 190%
2. e) 90%
3. f) 9%
4. b) 99%
5. a) 109%
6. c) 0.9%
7. 0.8
8. $\frac{23}{20}$
9. 0.95
10. $\frac{29}{20}$
11. b) 0.95, c) $\frac{19}{20}$, d) $\frac{95}{100}$