Decimals - SAT Math

Convert all of the fractions to decimals. Thus, x is contained within the range of 0.33 < x < 0.76. The answers choices become 1/4 = 0.25, 4/12 = 0.33, 2/5 = 0.4, and 5/16 = 0.3125, respectively. Therefore, the only answer which is within the desired range is 2/5.

0.08 * 0.08

First square 8:

8 * 8 = 64

Then move the decimal four places to the left:

0.0064

If is greater than 0, then adding 1 to will make it greater than 1. Taking a number between 0 and 1 to a power results in a smaller number.

0.2 ÷ 0.04 <- easiest way to approach is to move the decimal to the right (the same amount of spaces on each side) so that the decimal disappears

since 0.04 has 2 spaces and 0.2 only has 1, move the decimal 2 spaces to the right on each side

0.2 ÷ 0.04 = 20 ÷ 4 = 5

Remeber for this problem that you cannot spend more than $50. First find the price of each pencil by 5.80/20 = 29 cents. And then use this to do 50/0.29 = 172.41. So the greatest number of pencils you can purchase for $50 is 172 pencils.

Multiply both the numerator and denominator by some power of 10 to get rid of the decimals; in this case, multiply both by 10,000.

Adding all the charges together and dividing by 2 yields $91.40. Dividing this by 4 yields a monthly installment of $22.85.

Look at the ones place first, ignoring the decimal. The order from greatest to least is 2, 4, 5, 6, and 8. Because none of the numbers in the ones place are the same, it doesn't matter what the decimal will be on these numbers- the order will remain the same. The order is 2.1, 4.8, 5.2, 6.9, 8.5.

look at the first decimal place; 0.2 and 0.201 are the largest.

0.2 = 0.200 and 0.201 > 0.200

0.201 is the greatest given decimal.

Trailing zeros at the end of a decimal do not increase or decrease the value of a given decimal. However, zeros that appear after the decimal point and precede a non-zero number decrease the value of the number.

Turn the fractions into decimals to easily compare them. You can do this quickly on your calculator.

is approximately 2.667, so this is the largest number.

The digit in the hundredths place is the one two decimal places to the right of the decimal. That digit is 9. Do not confuse the hundredths with the hundreds place, which is three spaces to the left of the decimal.

The answer is 9.

Begin by converting each fraction into a decimal:

Now we can put the decimals in order:

0.269, 0.27, 0.2788, 0.28, 0.3157

or:

No answer choice matches this order, so our answer is "None of the other answers"

The tenths digits are different. , , and are clearly bigger than the other two.

So now, we compare the remaining decimals.

, are exacty the same decimal with just more zeroes.

is clearly the biggest as it is much bigger.

By looking at the tenths digit, are smaller than the other two.

Next, we look at the digits afterwards. is clearly the smallest out of the rest.

The others have more precise decimal places.

To rank, we check the tenths digit. are the smallest in the set.

Next, we look at the hundredths digit. is greater than , so the rank is .

Since the next three numbers have differnt tenths digit, we just put in numerical order.

Final answer should be

.

Since each decimal have the same tenths digit, we compare the hundredths digit. is the greatest of all decimals in the set since the rest have as the hundredths digit.

Next, we compare the rest.

The more s there are, the more precise the decimal.

is the order.

The final order is

.

When dealing with negative numbers, remember the largest decimal is the least value which will be since their tenths digit is greater than the rest.

The rest of the order will be .

The hundredths digit in is greater than the rest.

So our order is

.

There is a in front of most decimals except which makes the rest bigger than this decimal.

Next, the ones with less zeroes means the value is bigger and further than .

We have a decimal with zeroes, another with zeroes, and lastly with zeroes.

The one with zeroes is the greatest decimal.

That value is .

Remember, when dealing with negative numbers, the larger the decimal, the smaller the value.

We eliminate as it is the smallest decimal value, however the greatest with the negative sign present.

By comparing to the hundredths digit, has the highest hundredths digit but is the smallest value since we have a negative sign present.

is our answer.