Math: Numbers and Operations Flashcards

A patient needs 2.5 mg of medication per kilogram of body weight. If the patient weighs 68 kg, how many milligrams are needed?

Answer: 170 mg

Multiply 2.5 mg/kg × 68 kg = 170 mg.

Which of the following is equivalent to 3/8 expressed as a decimal?

Answer: 0.375

3 ÷ 8 = 0.375.

A store sells juice in 32 fl oz bottles for $2.56 and in 20 fl oz bottles for $1.80. Which is the better unit price?

Answer: 32 fl oz bottle at $0.08/oz

$2.56 ÷ 32 = $0.08/oz, versus $1.80 ÷ 20 = $0.09/oz, so the 32 oz bottle is cheaper per ounce.

What is the value of 4³ − √64?

Answer: 56

4³ = 64 and √64 = 8, so 64 − 8 = 56.

A recipe calls for 3¼ cups of flour. If you want to make 1.5 times the recipe, how many cups of flour do you need?

Answer: 4⅞ cups

3.25 × 1.5 = 4.875 cups, which equals 4⅞ cups.

If a number is increased by 40% and then decreased by 40%, what is the net percentage change?

Answer: −16% decrease

Multiplying by 1.40 then 0.60 gives 0.84, which is a 16% decrease from the original.

Which set of numbers is ordered from least to greatest?

Answer: −4, −3, −1, 0, 2

On a number line, −4 < −3 < −1 < 0 < 2.