Solve the following arithmetic problems: 1. Reduce 5.821 and 0.06 2. 14.6 × 0.075 3. 5 / 72.5 4. 42.39 / 27

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the problems:

Reduce 5.821 and 0.06 Assuming "reduce" means to find the difference by subtracting the smaller number from the larger number.

Subtract 0.06 from 5.821.
$$ 5.821 - 0.06 = 5.761 $$ The difference is $\boxed{\text{5.761}}$.
2. $14.6 \times 0.075$
Multiply the numbers without considering the decimal points.
$$ 146 \times 75 = 10950 $$
Count the total number of decimal places in the original numbers.
14.6 has one decimal place, and 0.075 has three decimal places. So, there are $1 + 3 = 4$ decimal places in total.
Place the decimal point in the product.
$$ 1.0950 $$ The product is $\boxed{\text{1.095}}$.
3. $5 \div 72.5$
Convert the divisor to a whole number by multiplying both the dividend and the divisor by 10.
$$ \frac{5}{72.5} = \frac{5 \times 10}{72.5 \times 10} = \frac{50}{725} $$

$$
\frac{50}{725} \approx 0.0689655...
$$

Round the answer to a reasonable number of decimal places, for example, three decimal places.
$$ 0.0689655... \approx 0.069 $$ The quotient is approximately $\boxed{\text{0.069}}$.
4. $42.39 \div 27$

$$
\frac{42.39}{27}
$$
$$
42.39 \div 27 = 1.57
$$
The quotient is $\boxed{\text{1.57}}$.

Solve the following arithmetic problems: 1. Reduce 5.821 and 0.06 2. 14.6 x 0.075 3. 5 / 72.5 4. 42.39 / 27