Question

remember
for problems 28–30, multiply.

1. ( 47.25 \times 0.6 )
2. ( 125.1 \times 1.4 )

Explanation:

Problem 28: \( 47.25 \times 0.6 \)

Step 1: Convert to fractions (optional, but helps)

\( 47.25 = \frac{4725}{100} \), \( 0.6 = \frac{6}{10} \)

Step 2: Multiply the fractions

\( \frac{4725}{100} \times \frac{6}{10} = \frac{4725 \times 6}{100 \times 10} \)

Step 3: Calculate numerator and denominator

\( 4725 \times 6 = 28350 \), \( 100 \times 10 = 1000 \)

Step 4: Simplify the fraction

\( \frac{28350}{1000} = 28.35 \)
(Alternatively, multiply directly: \( 47.25 \times 0.6 \), count decimal places: 47.25 has 2, 0.6 has 1, total 3. \( 4725 \times 6 = 28350 \), move decimal 3 places: \( 28.35 \))

Step 1: Multiply without decimals

\( 1251 \times 14 = 17514 \)

Step 2: Count decimal places

\( 125.1 \) has 1, \( 1.4 \) has 1, total 2.

Step 3: Place decimal

Move decimal 2 places in \( 17514 \): \( 175.14 \)

Answer:

\( 28.35 \)

Problem 29: \( 125.1 \times 1.4 \)