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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 |
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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 |
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product=? |
multiplication |
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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 |
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where do decimals go in long division problems? |
directly above it, stays in the exact same place |
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when adding and subtracting decimals what happens to the decimal points |
you must align the decimal points |
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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 |
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describe 4 steps of division with decimals
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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 |
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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 |
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how to change an improper fraction into a mixed # |
divide normally, the numerator by the denominator |
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how to add fractions? |
find a common denominator, and add the numerators |
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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 |
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how do you multiply fractions? |
top x top, and bottom x bottom |
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how to divide fractions |
flip the second fraction, use its reciprocal then multiply |
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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 |
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how would you change fractions into decimals? |
use long division, denominator outside the house, numerator inside the house |
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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) |
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define ratio and proportion |
ratio: relationship between two numbers proportion: two ratios that have equal values |
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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 |
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what to do when solving proportions |
rewrite proportions as fractions, cross multiply, then solve for X |
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how would you change a decimal to a percent? |
move the decimal two places to the right |
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how would you change a percent to a decimal? |
move the decimal two spaces to the left |
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how would you change a fraction into a percent |
divide numerator by denominator |
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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 % |
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military time 0000 |
12 am |
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military time 0100 |
1am |
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military time 0200 |
2am |
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military time 0300 |
3am |
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military time 0400 |
4am |
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military time 0500 |
5am |
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military time 0600 |
6am |
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military time 0700 |
7am |
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military time 0800 |
8am |
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military time 0900 |
9am |
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military time 1000 |
10am |
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military time 1100 |
11am |
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military time 1200 |
12pm |
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military time 1300 |
1pm |
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military time 1400 |
2pm |
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military time 1500 |
3pm |
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military time 1600 |
4pm |
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military time 1700 |
5pm |
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military time 1800 |
6pm |
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military time 1900 |
7pm |
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military time 2000 |
8pm |
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military time 2100 |
9pm |
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military time 2200 |
10pm |
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military time 2300 |
11pm |
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how would you evaluate an expression? |
plug in the numbers and use PEMDAS, solve for unknowns |
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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 |
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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 |
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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
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celsius to farenheit |
32F= 0C so F= C*1.8+32 |
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farenheit to celsius |
C= (F-32)/1.8 |
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boiling & freezing pts of water in celsius and farenheit |
freezing: 0C, 32F boiling: 100C, 212F |
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1 kilometer= _______meters |
1kilometer= 1,000 meters |
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1 meter= ____________centimeters |
1 meter= 100 centimeters |
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1 centimeter= ____________ millimeters |
1 centimeter= 10 millimeters |
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__________ centimeters= 1inch |
2.54 centimeters= 1inch |
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1mile = _____________yards or _____________ feet |
1mile = 1760 yards or 5280 feet |
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1yard= __________ feet |
1yard= 3 feet |
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1foot= ____________ inches |
1foot= 12 inches |
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1liter= _________ millimeters |
1liter= 1000 millimeters |
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1millimeter= ____________cubic centimeter |
1millimeter= 1 cubic centimeter |
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1 gallon= ___________quarts |
1 gallon= 4 quarts |
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1gallon= __________ ounces |
1gallon= 128 ounces |
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1quart= ________ pints |
1quart= 2 pints |
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1pint= ___________ cups |
1pint= 2 cups |
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1cup= ____________ ounces |
1cup= 8 ounces |
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1 ounce= __________millimeters |
1 ounce= 30 millimeters |
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1 pound=_______ ounces |
1pound= 16 ounces |