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Numbers & Conversions?
Cups, miles, percentages. The stuff you re-Google forever. 28 questions and counting.
- How do you convert Celsius to Fahrenheit?Exact: multiply by 9/5 and add 32. Fast enough for weather: double it and add 30. And the anchor points to memorize: 0C is…
- How do you calculate a tip in your head?Move the decimal one place left for 10 percent, then add half of that for 15 or double it for 20. On a $46 check: 10 percent…
- How do you read a nutrition label?Start with serving size, because every number below it is per serving, not per package. Then check added sugars and sodium…
- How many cups are in a gallon?16 cups in a gallon. The full ladder: 2 cups to a pint, 2 pints to a quart, 4 quarts to a gallon. Everything doubles, which…
- How many feet are in a mile?5,280 feet. The odd number is Rome's fault mixed with England's: a Roman mile of 5,000 feet got stretched to fit exactly 8…
- How many weeks are in a year?52 weeks plus one extra day, or two in a leap year. That leftover day is why your birthday shifts one weekday each year, and…
- How do you calculate a percentage?Part divided by whole, times 100. And for mental math, flip stubborn ones: x percent of y equals y percent of x, so 4…
- What is a good credit score?On the common 300 to 850 scale, roughly 670 and up is good, 740 and up is very good, and 800 and up is exceptional. Payment…
- What is the order of operations?Parentheses, exponents, then multiplication and division left to right, then addition and subtraction left to right. The…
- How much bigger is a trillion than a billion?A thousand times bigger, which is nearly impossible to feel. In seconds: a million is about 12 days, a billion is about 32…
- What is the difference between mean, median, and mode?Mean is the average, median is the middle value, mode is the most common. Median beats mean whenever a few extreme values…
- How do you calculate a discount in your head?Take 10 percent by moving the decimal, then build. 30 percent off a $45 item is three lots of $4.50, so $13.50 off, leaving…
- What is the difference between correlation and causation?Correlation means two things move together; causation means one produces the other. Two variables can correlate because a…
- What is exponential growth, and why is it so hard to picture?Growth by a constant percentage rather than a constant amount, so the increase itself keeps increasing. Human intuition is…
- How do you calculate square footage?Multiply length by width for each rectangular section and add them together. For odd shapes, break the room into rectangles…
- How do you convert fractions to decimals and percentages?Divide the top by the bottom to get the decimal, then multiply by 100 for the percentage. Three quarters is 3 divided by 4…
- How do you fairly split a restaurant bill?Split evenly when orders are similar and it saves everyone time. When one person had an appetizer, two drinks, and the…
- What does statistically significant actually mean?That a result is unlikely to have arisen by chance alone under the assumption of no real effect, conventionally at a p-value…
- What is a prime number?A whole number greater than 1 divisible only by 1 and itself: 2, 3, 5, 7, 11. They are the atoms of arithmetic, there are…
- What does average annual return actually mean?Usually the compound annual growth rate, the steady rate that would produce the same end result, not the simple average of…
- What does margin of error mean in a poll?The range within which the true value probably falls due to sampling alone, usually at 95 percent confidence. A 3-point…
- What is pi, and why does it matter?The ratio of any circle's circumference to its diameter, about 3.14159, and it is the same for every circle regardless of…
- What is the difference between weight and mass?Mass is how much matter something contains and never changes; weight is the force gravity exerts on that mass and changes…
- What is the rule of 72?Divide 72 by an annual growth rate to get the years it takes to double. At 6 percent, money doubles in about 12 years. It…
- Why is a day 24 hours and an hour 60 minutes?Egyptians split day and night into 12 parts each, likely using a base-12 counting system on finger joints. The 60-minute…
- What is the difference between APR and APY?APR is the annual rate without compounding and is used for what you borrow. APY includes compounding and is used for what…
- What is the golden ratio, and is it really everywhere?An irrational number about 1.618 with genuinely interesting mathematical properties and a real presence in some plant growth…
- How do you estimate a square root in your head?Find the nearest perfect squares on either side and interpolate. For 60, you know 49 and 64, so the answer is just under 8…