Question

1. 92% of 104 ≈
2. 32% of 89.9 ≈

Explanation:

Problem 23:

Step1: Convert percentage to decimal

To find a percentage of a number, we first convert the percentage to a decimal by dividing by 100. So, \( 92\% = \frac{92}{100} = 0.92 \).

Step2: Multiply by the number

Now, we multiply this decimal by 104. So, \( 0.92 \times 104 \). Let's calculate this: \( 0.92\times100 = 92 \) and \( 0.92\times4 = 3.68 \), then add them together: \( 92 + 3.68 = 95.68 \). Since we are approximating, we can also note that 92% is close to 90% or 100%, but a direct calculation gives us approximately 96 (or more precisely 95.68 which is approximately 96).

Step1: Convert percentage to decimal

First, convert \( 32\% \) to a decimal. \( 32\% = \frac{32}{100} = 0.32 \).

Step2: Multiply by the number

Now, multiply this decimal by 89.9. So, \( 0.32 \times 89.9 \). Let's approximate 89.9 as 90 for easier calculation. Then \( 0.32\times90 = 28.8 \). If we calculate it precisely: \( 0.32\times89.9 = 0.32\times(90 - 0.1) = 0.32\times90 - 0.32\times0.1 = 28.8 - 0.032 = 28.768 \).

Answer:

\( 95.68 \) (or approximately \( 96 \))

Problem 26: