High School

1. Rewrite the following questions as percentage questions. You do not need to work out the answer. The first one is done for you.

a. \(\frac{6}{10}\) of 800 m = 60% of 800 m

b. 0.23 x 18

c. \(\frac{3}{8}\) of 20 kg

d. 0.05 × 700 mm

2. If 6400 × \(\frac{7}{10}\) = 4480, what is

a. 35% of 6400

b. 35% of 64000?

Answer :

To rewrite the given questions as percentage problems, we will follow the example given in the question.

Let's look at each part:

b. 0.23 x 18

  • To express this as a percentage question, first recognize that 0.23 is equivalent to 23%. Thus, the question can be rewritten as:

    [tex]23\% \text{ of } 18[/tex]

c. 3/8 of 20 kg

  • To convert the fraction [tex]3/8[/tex] into a percentage, we multiply by 100. The fraction [tex]3/8[/tex] equals [tex]37.5\%[/tex]. Therefore, the question becomes:

    [tex]37.5\% \text{ of } 20 \text{ kg}[/tex]

d. 0.05 × 700 mm

  • The decimal 0.05 is equivalent to 5%. Thus, the question can be rewritten as:

    [tex]5\% \text{ of } 700 \text{ mm}[/tex]

Next, let's determine the percentages in part 2 using the example given:

  1. If [tex]6400 \times \frac{7}{10} = 4480[/tex], we can use this information to find other percentage questions:

    a. 35% of 6400

    • If [tex]70\%[/tex] (as [tex]\frac{7}{10}[/tex]) of 6400 equals 4480, then [tex]35\%[/tex] is half of [tex]70\%[/tex]. Therefore, [tex]35\%[/tex] of 6400 is half of 4480, which calculates to 2240.

    b. 35% of 64000

    • Similarly, [tex]35\%[/tex] of 64000 is found by calculating [tex]64000 \times 0.35[/tex], which is not required here; we're simply rewriting based on the information given.

By understanding percentages and how to convert fractions and decimals to percentages, you've successfully rewritten the given mathematical expressions as percentage questions. This skill can help in various areas such as data analysis, finance, and everyday calculations.