If it's okay, could someone pls let me know what all units we need to know i.e. the ones that won't be included in the question?

Here's a list of units that aren't commonly given to you, as most American students would probably have these memorized: 1 foot = 12 inches 1 yard = 3 feet 1 dollar = 100 pennies, 1 quarter = 25 pennies, 1 dime = 10 pennies, 1 nickel = 5 pennies 1 minute = 60 seconds 1 hour = 60 minutes 1 day = 24 hours In addition, knowing the metric prefixes for units might help. I don't remember seeing a question that asks you to convert between units of capacity (like pints and gallons) without giving you the conversion factor, but you might find worth out of memorizing those too.

shouldn't the density be 2.6 in pursuing the mass of the marble slab?

Yes, the density should be and is 2.6 grams per cubic centimeter. Density is in units of mass per unit volume, so to get the mass from the density and volume, we multiply density and volume together. The volume of the slab is 40,000 cubic centimeters. Multiplying this by density gives you D) 104,000 grams.

Could you explain to me this last question pls About the Kentucky Derby?

The question wants you to give a final answer in miles per hour. This means we have to somehow convert our units so that we end up with everything canceling out except miles in the numerator and hours in the denominator. Using the same process in the rest of the article, all we have to do is set up a bunch of ratios to multiply with each other given the statements in the problem: 10 furlongs * (1 mile / 8 furlongs) = 1.25 mi To go from miles to miles per hour, we just divide by our time (in hours): 1.25 mi / (2 min * (1 hour / 60 min)) = 37.5 mph

Can someone explain what they meant by "To the nearest tenth of a mile per hour"? (Final Question) I thought they wanted our answer in miles per hour. Why did they mention "a tenth"?

When the question asks for you to give an answer "to the nearest __ of a __", this means it wants you to round to that place. This doesn't really have an effect on the unit, as miles per hour is still miles per hour, but instead just on what place you round to. Here, you would round to the tenths place.

I have practiced a lot of sat practice papers from crackSAT but I found out that some of the questions do not have a conversion factor stated; for example: (1 foot = 12 inches) and so. There were some unknown units namely, dimes, nickels, and 1 ton being 2000 pounds (I thought 1 ton was 1000 kgs up until now lmao) and others as well. While practicing, I googled the unit conversion factor but what if such situation arise in the real exam. And how likely is this type of scenario to occur?

On the real SAT, there should be no units that you would have a huge amount of trouble with. I think the following units might have a chance to be presented to you without a conversion factor, but all else (including money) should be: Length: inches, feet, yards, miles Capacity: cups, pints, quarts, gallons Weight: ounces, pounds, tons

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SAT

Course: SAT > Unit 6

Lesson 5: Problem Solving and Data Analysis: lessons by skill

Units | Lesson

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What is unit conversion, and how frequently does it appear on the test?

We use units—inches, centimeters, and miles, etc.—to measure quantities like time, mass, and distance. But we can use a variety of units to measure the same thing. For example, inches, centimeters, and miles are all measures of distance.

Unit conversion lets us change the units in which a measurement is given.

[Example: Inches to centimeters]

In this lesson, we'll practice converting between units in a variety of scenarios.

On your official SAT, you'll likely see 2 to 3 questions that require you to make unit conversions. You may also need to deal with units in other types of questions.

Note: You'll be expected to know the unit equivalencies for time and for metric units of mass, distance, and volume. All other unit equivalencies will be provided for you.

You can learn anything. Let's do this!

How do we convert between units?

Khan Academy video wrapper

Measurement word problem: blood driveSee video transcript

Applying unit to unit ratios

On the SAT, the relationships between units will be provided to you in the form of a equivalency (e.g., 1 foot equals, 12 inches).

It's useful to think of this equivalency as a ratio (e.g., 1 foot : 12 inches or start fraction, 1, start text, space, f, o, o, t, end text, divided by, 12, start text, space, i, n, c, h, e, s, end text, end fraction). You'll then multiply the initial measurement by that ratio to convert from one unit to the other.

Note: It's important to remember that every unit (besides the unit you're looking for) should appear once in the numerator and once in the denominator. That way, all other units can be cancelled out!

For example, to convert 2, comma, 000 grams to kilograms:

2, comma, 000, start cancel, start color #7854ab, start text, g, r, a, m, s, end text, end color #7854ab, end cancel, dot, start fraction, 1, start text, space, k, i, l, o, g, r, a, m, end text, divided by, 1, comma, 000, start cancel, start color #7854ab, start text, g, r, a, m, s, end text, end color #7854ab, end cancel, end fraction, equals, 2, start text, space, k, i, l, o, g, r, a, m, s, end text

2, comma, 000 grams is equal to 2 kilograms.

As long as we set up our ratios correctly, this process will work no matter how many conversion steps we need.

Example:

\begin{aligned} &1\,\text{yard}=3\,\text{feet} \\ \\ &12\,\text{inches}=1\,\text{foot} \end{aligned}

How many inches are in one yard?

[Show me!]

Converting units within rates

You may be asked to convert units that appear within a rate. This can feel tricky, since rates are the quotient of two different units, e.g., start fraction, start text, m, i, l, e, s, end text, divided by, start text, h, o, u, r, end text, end fraction.

But don't worry! The same rules apply as with any unit conversion: just make sure that the units you want to eliminate appear in both the numerator and denominator of your conversion operation.

Example: A whitetail deer can run at a maximum speed of 30 miles per hour. What is a whitetail deer's maximum speed in feet per minute? (1 mile equals, 5, comma, 280 feet)

[Show me!]

Try it!

Try: Set up a unit conversion

You're provided a measurement in cubic centimeters. You're told that 1 cubic centimeter is equal to 1 milliliter (1 cubic centimeter equals, 1 milliliter) and that 1 fluid ounce is equal to about 29, point, 57 milliliters (1 ounce approximately equals, 29, point, 57 milliliters).

Which of the following operations would convert the initial measurement (x) into fluid ounces?

(Choice A)
x, start text, space, c, u, b, i, c, space, c, e, n, t, i, m, e, t, e, r, s, end text, dot, start fraction, 1, start text, space, c, u, b, i, c, space, c, e, n, t, i, m, e, t, e, r, end text, divided by, 1, start text, space, o, u, n, c, e, end text, end fraction, dot, start fraction, 29, point, 57, start text, space, o, u, n, c, e, end text, divided by, 1, start text, space, m, i, l, l, i, l, i, t, e, r, end text, end fraction
(Choice B)
x, start text, c, u, b, i, c, space, c, e, n, t, i, m, e, t, e, r, s, end text, dot, start fraction, 1, start text, space, m, i, l, l, i, l, i, t, e, r, end text, divided by, 1, start text, c, u, b, i, c, space, c, e, n, t, i, m, e, t, e, r, end text, end fraction, dot, start fraction, 1, start text, space, o, u, n, c, e, end text, divided by, 29, point, 57, start text, m, i, l, l, i, l, i, t, e, r, end text, end fraction
(Choice C)
x, start text, space, c, u, b, i, c, space, c, e, n, t, i, m, e, t, e, r, s, end text, dot, start fraction, 1, start text, space, m, i, l, l, i, l, i, t, e, r, end text, divided by, 1, start text, space, c, u, b, i, c, space, c, e, n, t, i, m, e, t, e, r, end text, end fraction, dot, start fraction, 29, point, 57, start text, space, m, i, l, l, i, l, i, t, e, r, s, end text, divided by, 1, start text, space, o, u, n, c, e, end text, end fraction

Your turn!

Practice: convert units in one step

Ranjit wants to measure the length of a table, but has no ruler or tape measure. Using what he has at hand, he finds that the table is about as long as 6 unsharpened pencils laid tip to tip. If each unsharpened pencil measures 18 centimeters in length, what is the length of the table, in centimeters?

Practice: Use a rate to convert units

A marble slab in the shape of a right rectangular prism has dimensions of 100 centimeters by 80 centimeters by 5 centimeters. The slab has a density of 2, point, 6 grams per cubic centimeter. What is the mass of the marble slab, in grams? (Density is mass per unit volume.)

Practice: Convert units in multiple steps

The Kentucky Derby is a horse race run over a distance of 10 furlongs. The fastest Derby winners complete the race in about 2 minutes. To the nearest tenth of a mile per hour, how fast must a horse run to complete the Derby in 2 minutes? (1 mile equals, 8 furlongs)

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bruhwhuh09
Posted 2 years ago. Direct link to bruhwhuh09's post “kindly can someone tell m...”
kindly can someone tell me what the unit equivalencies for time and for metric units of mass, distance, and volume are please?
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(8 votes)
Answer
- 🎀𝐼𝓉𝓏𝓏.𝒜𝓊𝒷🎀
  Posted 2 months ago. Direct link to 🎀𝐼𝓉𝓏𝓏.𝒜𝓊𝒷🎀's post “The metric system is a sy...”
  The metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass) respectively. Hopes this helps a little <33
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  (1 vote)
RR
Posted a year ago. Direct link to RR's post “If it's okay, could someo...”
If it's okay, could someone pls let me know what all units we need to know i.e. the ones that won't be included in the question?
Button navigates to signup pageButton navigates to signup page
(2 votes)
Answer
- Hecretary Bird
  Posted a year ago. Direct link to Hecretary Bird's post “Here's a list of units th...”
  Here's a list of units that aren't commonly given to you, as most American students would probably have these memorized:
  1 foot = 12 inches
  1 yard = 3 feet
  1 dollar = 100 pennies, 1 quarter = 25 pennies, 1 dime = 10 pennies, 1 nickel = 5 pennies
  1 minute = 60 seconds
  1 hour = 60 minutes
  1 day = 24 hours
  In addition, knowing the metric prefixes for units might help. I don't remember seeing a question that asks you to convert between units of capacity (like pints and gallons) without giving you the conversion factor, but you might find worth out of memorizing those too.
  Comment on Hecretary Bird's post “Here's a list of units th...”
  (7 votes)
sadidasinthia0011
Posted 2 years ago. Direct link to sadidasinthia0011's post “shouldn't the density be ...”
shouldn't the density be 2.6 in pursuing the mass of the marble slab?
Button navigates to signup pageButton navigates to signup page
(2 votes)
Answer
- Hecretary Bird
  Posted 2 years ago. Direct link to Hecretary Bird's post “Yes, the density should b...”
  Yes, the density should be and is 2.6 grams per cubic centimeter. Density is in units of mass per unit volume, so to get the mass from the density and volume, we multiply density and volume together.
  The volume of the slab is 40,000 cubic centimeters. Multiplying this by density gives you D) 104,000 grams.
  Comment on Hecretary Bird's post “Yes, the density should b...”
  (4 votes)
Aayush Karki
Posted a year ago. Direct link to Aayush Karki's post “I have practiced a lot of...”
I have practiced a lot of sat practice papers from crackSAT but I found out that some of the questions do not have a conversion factor stated; for example: (1 foot = 12 inches) and so. There were some unknown units namely, dimes, nickels, and 1 ton being 2000 pounds (I thought 1 ton was 1000 kgs up until now lmao) and others as well. While practicing, I googled the unit conversion factor but what if such situation arise in the real exam. And how likely is this type of scenario to occur?
Button navigates to signup pageButton navigates to signup page
(0 votes)
Answer
- Hecretary Bird
  Posted a year ago. Direct link to Hecretary Bird's post “On the real SAT, there sh...”
  On the real SAT, there should be no units that you would have a huge amount of trouble with. I think the following units might have a chance to be presented to you without a conversion factor, but all else (including money) should be:
  Length: inches, feet, yards, miles
  Capacity: cups, pints, quarts, gallons
  Weight: ounces, pounds, tons
  Button navigates to signup page
  (4 votes)
franciscomjesus.santos
Posted 8 months ago. Direct link to franciscomjesus.santos's post “Could you explain to me t...”
Could you explain to me this last question pls About the Kentucky Derby?
Button navigates to signup pageButton navigates to signup page
(1 vote)
Answer
- Hecretary Bird
  Posted 8 months ago. Direct link to Hecretary Bird's post “The question wants you to...”
  The question wants you to give a final answer in miles per hour. This means we have to somehow convert our units so that we end up with everything canceling out except miles in the numerator and hours in the denominator. Using the same process in the rest of the article, all we have to do is set up a bunch of ratios to multiply with each other given the statements in the problem:
  10 furlongs * (1 mile / 8 furlongs) = 1.25 mi
  To go from miles to miles per hour, we just divide by our time (in hours):
  1.25 mi / (2 min * (1 hour / 60 min)) = 37.5 mph
  Button navigates to signup page
  (2 votes)
Netra
Posted 10 days ago. Direct link to Netra's post “Can someone explain what ...”
Can someone explain what they meant by "To the nearest tenth of a mile per hour"? (Final Question) I thought they wanted our answer in miles per hour. Why did they mention "a tenth"?
Button navigates to signup pageButton navigates to signup page
(1 vote)
Answer
- Hecretary Bird
  Posted 10 days ago. Direct link to Hecretary Bird's post “When the question asks fo...”
  When the question asks for you to give an answer "to the nearest _ of a _", this means it wants you to round to that place. This doesn't really have an effect on the unit, as miles per hour is still miles per hour, but instead just on what place you round to. Here, you would round to the tenths place.
  Button navigates to signup page
  (2 votes)
Liv
Posted a year ago. Direct link to Liv's post “Ok, this is not a distanc...”
Ok, this is not a distance-related question but I am really stuck with unit conversions with money. I tried to find a video for it but all I could find was a really easy one for fourth grade. The way they have me do it in school is very confusing and I was wondering if there was a video to clear this up. Thank You. (If this helps I'm in Algebra 1.)
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(0 votes)
Answer
supernova34
Posted a year ago. Direct link to supernova34's post “Will the units be there o...”
Will the units be there on the SAT exam?
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(0 votes)
Answer
- Hecretary Bird
  Posted a year ago. Direct link to Hecretary Bird's post “Yes, you will probably se...”
  Yes, you will probably see a question about units on your SAT exam. About 2-4 questions on every SAT test will be about dealing with and manipulating units, as far as I know.
  Comment on Hecretary Bird's post “Yes, you will probably se...”
  (1 vote)