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71 Cards in this Set

  • Front
  • Back

what are digits, and place values

digits: 1-9 & 0


place values: ones, tens, hundreds, thousandths, etc

when subtracting two numbers describe the concept of "regrouping"?

when you go next door to the next place value to borrow and reduce that place value by 10 and add 10 to the current place value

product=?

multiplication

define dividend, divisor, quotient, and remainder

dividend: #being divided


divisor: # dividend is being divided by


quotient: answer to division problem


remainder: what's left and can't be divided

where do decimals go in long division problems?

directly above it, stays in the exact same place

when adding and subtracting decimals what happens to the decimal points

you must align the decimal points

what to do when multiplying two decimals?

multiply normally then count how many decimal place values each number is at, then add the two place values. so if one number is 1.5 and the other number is 2.6 then the final answer would have a decimal two places to the left

describe 4 steps of division with decimals

1. set up the division problem 2. move the decimal pt. in divisor until it's a whole #. 3. move decimal pt. in dividend the same number of spaces as was moved in the divisor. 4. divide normally

define factor, LCD, common denominator, reciprocals

factor: # that divides evenly into another #


LCD: smallest multiple that 2 numbers share


Common denominator: 2 or more fractions having the same denominator


reciprocals: pairs of numbers that equal 1 when multiplied together

how to change an improper fraction into a mixed #

divide normally, the numerator by the denominator

how to add fractions?

find a common denominator, and add the numerators

how would you subtract fractions with unlike denominators

find the least common denominator, what is done to the bottom must be done to the top, then subtract the numerators

how do you multiply fractions?

top x top, and bottom x bottom

how to divide fractions

flip the second fraction, use its reciprocal then multiply

how do you change a mixed number into an improper fraction?

multiply the denominator by the whole number then add the numerator. for the answer, the denominator stays the same, and the numerator is that new number you solved for

how would you change fractions into decimals?

use long division, denominator outside the house, numerator inside the house

how would you change a decimal into a fraction? how would you change a decimal into a fraction when it's a whole number like 3.055

look at the place value, so .25 as a fraction is 25/100 bc the 5 is in the hundredths place.


the 3 becomes a mixed number, and the 55 becomes the numerator, the 5 is in the thousandths place so 1000 is the denominator. the answer is 3(55/1000)

define ratio and proportion

ratio: relationship between two numbers


proportion: two ratios that have equal values



how would you change a decimal into a ratio?

change the decimal into a fraction, then turn the fraction into a ratio. the numerator is the first number and the denominator is the second number

what to do when solving proportions

rewrite proportions as fractions, cross multiply, then solve for X

how would you change a decimal to a percent?

move the decimal two places to the right

how would you change a percent to a decimal?

move the decimal two spaces to the left

how would you change a fraction into a percent

divide numerator by denominator

what is 7 out of 8 expressed as a percent? how would you solve this?

use the percent formula. so set up 7/8 as a fraction then %/100 as a fraction. and cross multiply. and solve for the %

military time 0000

12 am

military time 0100

1am

military time 0200

2am

military time 0300

3am

military time 0400

4am

military time 0500

5am

military time 0600

6am

military time 0700

7am

military time 0800

8am

military time 0900

9am

military time 1000

10am

military time 1100

11am

military time 1200

12pm

military time 1300

1pm

military time 1400

2pm

military time 1500

3pm

military time 1600

4pm

military time 1700

5pm

military time 1800

6pm

military time 1900

7pm

military time 2000

8pm

military time 2100

9pm

military time 2200

10pm

military time 2300

11pm

how would you evaluate an expression?

plug in the numbers and use PEMDAS, solve for unknowns

roman numerals: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

1=I


2=II


3=III


4=IV


5=V


6=VI


7=VII


8=VIII


9=IX


10=X


11=XI

Roman numerals: 20, 30, 40, 50, 60, 70, 80, 90, 100

20=XX


30=XXX


40=XL


50=L


60=LX


70=LXX


80=LXXX


90=XC


100=C

Roman numerals: 500, 1,000, 5,000,10,000,50,000, 100,000, 500,000, 1,000,000

500=D 1,000=M 5,000=V 10,000=X 50,000=L 100,000=C 500,000=D 1,000,000=M

celsius to farenheit

32F= 0C


so F= C*1.8+32

farenheit to celsius

C= (F-32)/1.8

boiling & freezing pts of water in celsius and farenheit

freezing: 0C, 32F


boiling: 100C, 212F



1 kilometer= _______meters

1kilometer= 1,000 meters

1 meter= ____________centimeters

1 meter= 100 centimeters

1 centimeter= ____________ millimeters

1 centimeter= 10 millimeters

__________ centimeters= 1inch

2.54 centimeters= 1inch

1mile = _____________yards or _____________ feet

1mile = 1760 yards or 5280 feet

1yard= __________ feet

1yard= 3 feet

1foot= ____________ inches

1foot= 12 inches

1liter= _________ millimeters

1liter= 1000 millimeters

1millimeter= ____________cubic centimeter

1millimeter= 1 cubic centimeter

1 gallon= ___________quarts

1 gallon= 4 quarts

1gallon= __________ ounces

1gallon= 128 ounces

1quart= ________ pints

1quart= 2 pints

1pint= ___________ cups

1pint= 2 cups

1cup= ____________ ounces

1cup= 8 ounces

1 ounce= __________millimeters

1 ounce= 30 millimeters

1 pound=_______ ounces

1pound= 16 ounces