Mathematics Flashcards

The parking lot of the Shopping Complex has a capacity of 1330 cars. On Monday, the ratio of occupied spots to empty spots in the parking lot was 11: 24. Find the number of additional cars that could park there:

Answer: 912

The ratio of occupied to empty spots is 11:24, meaning there are 11 + 24 = 35 total parts representing the parking lot's capacity. Dividing the total capacity (1330 cars) by 35 parts gives 38 cars per part. Since empty spots represent 24 parts of the ratio, multiplying 24 by 38 yields 912. Therefore, 912 additional cars could park in the lot.

The total length of the three sticks is 13.43 m. If the length of the two sticks is 3 m 15 cm, and 4 m 13 cm, then find the length of the third stick.

Answer: 6 m 15 cm

To find the length of the third stick, first convert all measurements to a consistent unit, such as meters. The lengths of the two known sticks are 3.15 m (3 m 15 cm) and 4.13 m (4 m 13 cm), which sum to 7.28 m. Subtracting this combined length from the total length of 13.43 m gives 6.15 m. This value is equivalent to 6 meters and 15 centimeters.

How many milligrams make 1 kilogram?

Answer: 1,000,000

The metric system is based on powers of ten. One kilogram is equal to 1,000 grams. Furthermore, one gram is equal to 1,000 milligrams. Therefore, to convert kilograms to milligrams, you multiply 1,000 grams by 1,000 milligrams/gram, resulting in 1,000,000 milligrams in 1 kilogram.

In the field of Roman Numerals, there is a symbol called 'bar'. If it is placed over a numeral, then it is multiplied by _____.

Answer: 1000

In the system of Roman numerals, placing a bar (vinculum) over a numeral signifies multiplication by 1,000. This convention allows for the representation of larger numbers than would otherwise be possible with the standard seven symbols (I, V, X, L, C, D, M). For example, V with a bar above it would represent 5,000.

What number do you get by adding 59 hundred to 31 thousandths?

Answer: 5,900.031

"59 hundred" translates to 59 multiplied by 100, which equals 5,900. "31 thousandths" translates to 31 divided by 1,000, which is 0.031. Adding these two values together, 5,900 + 0.031, results in 5,900.031.