Mathematics Flashcards by Sahara Buehner

Write the following quantity, 1 kilojoule (kj) to the power of tens.

10^3 J

How well did you know this?

Not at all

Perfectly

The quotient of y and -25 is -100; find the value of y.

2500- the quotient stands for the product of division.
What divided by -25 is equal to -100
Two quotations represent the dots of division (personal hint)

How well did you know this?

Not at all

Perfectly

Dividend is:

The number being divided

How well did you know this?

Not at all

Perfectly

The number by which the dividend is divided:

Divisor

How well did you know this?

Not at all

Perfectly

The answer to a division problem:

Quotient

How well did you know this?

Not at all

Perfectly

The portion of the dividend that is not evenly divisible by the divisor:

Remainder

How well did you know this?

Not at all

Perfectly

Place values are written on which side of the decimal?

To the left

How well did you know this?

Not at all

Perfectly

Write the decimal in word form: 5.7

five “and” seven tenths

How well did you know this?

Not at all

Perfectly

When multiplying decimals, what determines the decimal point in the answer?

Add how many decimal points are present in the initial equation. Ex: 2.1 x 75.7. Multiply 21 x 757 = 15,897. There are two place values in total from each number. This would make the decimal place move two places to the left from the total. EX: 75.7 X 2.1 = 158.97

How well did you know this?

Not at all

Perfectly

Are decimals displayed after a whole number?

Not unless specified by the question.

How well did you know this?

Not at all

Perfectly

34 / 2.5 =

2.5 will go outside of the box. Make 2.5 a whole number by moving the decimal to the right one time. What is done to one side must be done to the other, so move the decimal one spot to the right for 34 (dividend). The new equation is 340/25. This will make the answer 13.6.
The key is that only the dividend (the outside number) needs to be a whole number by moving the decimal place.

How well did you know this?

Not at all

Perfectly

The line between the numerator and the denominator, symbolizing division.

Fraction bar

How well did you know this?

Not at all

Perfectly

A number that divides evenly into another number

Factor

How well did you know this?

Not at all

Perfectly

The smallest multiple that two numbers share.

Least Common Denominator

How well did you know this?

Not at all

Perfectly

A fraction where the numerator is larger than the denominator

Improper fraction

How well did you know this?

Not at all

Perfectly

A fraction where the denominator is larger than the numberator

Proper fraction

How well did you know this?

Not at all

Perfectly

Two or more fractions having the same denominator

Common denominator

How well did you know this?

Not at all

Perfectly

Pairs of numbers that equal 1 when multiplied together.

Reciprocals

How well did you know this?

Not at all

Perfectly

A decimal that is not continuous

Terminating decimal

How well did you know this?

Not at all

Perfectly

What are the factors of 12?

1, 2, 3, 4, 6, 12: Listing the factors can help reduce fractions by their greatest common factor.

How well did you know this?

Not at all

Perfectly

Find the least common denominator for 3/4 and 7/9.

Answer: 36

How well did you know this?

Not at all

Perfectly

How is an improper fraction reduced? EX: 17/5

By making it a mixed number: 3 2/5

How well did you know this?

Not at all

Perfectly

Add 1/5 + 7/10 =

Make the denominators of each fraction a common denominator. Then add the numerators, leaving the denominator the same.

How well did you know this?

Not at all

Perfectly

Add 1 1/4 + 2 8/10

First make the fractions have common denominators: 1 5/20 + 2 16/20. Add the whole numbers and the numerators, leaving the common denominators the same. 3 21/20. Then reduce. 4 1/20

How well did you know this?

Not at all

Perfectly

Should the quotient of fraction addition and subtraction problems always be reduced?

Yes

5 2/3 - 3 4/5 =

Make the common denominators the same, leaving the whole number as it is. 5 10/15 - 3 12/15. To make the number being subtracted from bigger than the number being subtracted, barrow from the whole number. 10/15 + 15/15 = 25/15. The final equation will be: 4 25/15 - 3 12/15 = 1 13/15.

4/5 x 1/2 =

4/10> Reduce 2/5

1/2 / 3/8=

Inverse the second fraction and multiply. 1/2 x 8/3 = 8/6 = 4/3 = 1 1/3. May not have to reduce or make into a whole number unless specified by the equation

2 1/8 x 7 5/6 =

Make each mixed number into an improper fraction. Then multiply. Then revert answer back into a mixed number. Then reduce. 17/8 x 47/6 = 799/48 = 16 31/48

1 5/6 / 3/4 =

Make mixed number an improper fraction. 11/6 / 3/4. Inverse second fraction and multiply: 11/6 x 4/3 = 44/18. Reduce. 22/9. Make into a mixed number. 2 4/9

What is the saying for how to change fractions to decimals?

"Top goes in the box, the bottom goes out". Numerator is the dividend. Denominator is the divisor.

If the decimal does not terminate, what should be done?

Continue to the thousandths place, then round to the nearest hundredths place. EX: 7.8666 > 7.87. If numbers terminate in the thousandths place, then leave decimals to the thousandths unless specified in the equation.

Change 2 3/5 to a decimal.

Leave the 2 out and divide 3 by 5. =0.60. Then add the whole number to the decimal: 2.6.

Change 3.055 into a fraction.

3 55/1000> Reduce: 3 11/200

A relationship between two numbers:

A ratio

Two ratios that have equal values:

Proportion

List all the ways that ratios can be written (3).

Fraction: 5/12 Colon: 5:12 Words: 5 to 12

List the two ways proportions can be written:

5/12 = 25/60 OR with a colon: 5:12 : 25:60

Change the decimal to a ratio.: 0.025

Change to a fraction, reduce, then transfer fraction to a colon: 0.025> 25/1000 > 1/40 > 1:40

Solve the proportion (find the value of x). x:63 :: 24:72

Change both numbers to fractions: x/63 = 24/72. Multiply diagonal numbers: 1512 = 72 x. Divide by 72 to get x by itself: 1,512 / 72 = 21. x = 21

What is 68% of 45?

Write out the problem: x/45 = 68/100. Cross multiply: 3,060 = 100 x. Divide to get x by itself: 30.6%

18 is 50% of what number?

Write out the problem: 18/x = 50/100. Cross multiply: 50x = 1,800. Divide to get x: 36.

A letter representing an unknown quantity (i.e., x).

Variable

A number that cannot change

Constant

A mathematical sentence containing constants and variables (i.e., 3x-2).

Expression

mnemonic for the order of operations:

"Please excuse my dear aunt sally". Parentheses> exponents> multiplication> division> addition> subtraction

Roman number L =

Roman numeral C:

100

Roman numeral D:

500

Roman numeral M

1,000

All roman numerals with a line on top = ex: v with a line on top

5,000 (multiply all roman numerals by 1000 if a line is on top).

Write 2012 in roman numeral:

MMXII

How to change Celsius (C) to Fahrenheit:

Multiply C by 9/5 and add 32.

What is the boiling point of water?

100 C or 212 F

Changing F to Celcius

Fahrenheit - 32. multiply by 5/9

1 kilometer is how many meters?

1000

1 meter is how many centemeters?

100

1 centimeter is how many millimeters?

How many centimeters in 1 inch?

2.54

How many yards in a mile?

1,760

How many feet in 1 yard?

How many milliliters in 1 liter?

1000

How many mL in 1 cubic centimeter?

Quarts in a gallon?

Ounces in a gallon

128

pints in 1 quart?

cups in 1 pint?

ounces in 1 cup?

milliliters (cubic centimeters) in 1 ounce?

Grams in 1 kilogram?

1,000

Milligrams in 1 gram?

1,000

pounds in 1 ton?

2,000

ounces in 1 pound?

pound in 1 kilogram?

2.2