SAT Math : Decimals

Study concepts, example questions & explanations for SAT Math

varsity tutors app store varsity tutors android store varsity tutors amazon store varsity tutors ibooks store

Example Questions

Example Question #21 : Decimals

Numberline 1

In the above number line, which point comes closest to ?

 

Possible Answers:

Correct answer:

Explanation:

Divide numerator 18 by denominator 29 to find the decimal equivalent of the fraction :

Division

The result is slightly higher than 0.62 - the point  on the number line.

Example Question #1 : Decimals With Fractions

Write 0.45 as a fraction.

Possible Answers:

Correct answer:

Explanation:

.45 is equivalent to 45 out of 100, or .

Divide both the numerator and denominator by 5 to simplify the fraction: 

Example Question #1 : Decimals With Fractions

A tub of food contains  pounds of vegetables,  pounds of lard, and  pounds of sausage.  What is its total weight as an improper fraction?

Possible Answers:

Correct answer:

Explanation:

To begin with, it is easiest just to add these decimals together using your calculator:

Now, this is the same thing as:

We can rewrite this:

To find this, you need to give the two numbers a common denominator:

This is your answer.

Example Question #1 : Decimals

What is the fractional equivalent of ?

Possible Answers:

Correct answer:

Explanation:

In decimal form  is said 33 hundredths.

This is equal to

.

This fraction cannot be reduced any further therefore it is in its final answer form.

Example Question #1251 : Sat Mathematics

Convert the decimal to fraction form and reduce it to its simplest form. 

Possible Answers:

Correct answer:

Explanation:

In order to convert  to a fraction, you would first begin with , because the decimal literally reads  thousandths. You can reduce by  a few times or just begin by dividing both numbers by  to get .

Example Question #1 : How To Square A Decimal

If all real values of x lie between 0 and 1, which of the following is always greater than 1?

Possible Answers:

x^{4}

5x^{2}

x^{2}

x+1

\frac{x}{10}

Correct answer:

x+1

Explanation:

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

Example Question #1 : How To Square A Decimal

Evaluate:

0.082

Possible Answers:

0.064

0.00064

0.64

0.0064

0.00064

Correct answer:

0.0064

Explanation:

0.08 * 0.08

First square 8:

8 * 8 = 64

Then move the decimal four places to the left:

0.0064

Example Question #1 : Basic Squaring / Square Roots

Find the square root of the following decimal:

Possible Answers:

Correct answer:

Explanation:

The easiest way to find the square root of a fraction is to convert it into scientific notation. 

\dpi{100} \small .00081 = 8.1 \times 10^{-4}

The key is that the exponent in scientific notation has to be even for a square root because the square root of an exponent is diving it by two. The square root of 9 is 3, so the square root of 8.1 is a little bit less than 3, around 2.8

 \dpi{100} \small \sqrt{8.1 \times 10^{-4}} \approx 2.8 \times 10^{-2} \approx 0.028

Example Question #1 : How To Find The Square Root Of A Decimal

Find the square root of the following decimal:

Possible Answers:

Correct answer:

Explanation:

To find the square root of this decimal we convert it into scientific notation.

Because  has an even exponent, we can divide the exponenet by 2 to get its square root.

Example Question #1 : How To Find The Square Root Of A Decimal

Find the square root of the following decimal:

Possible Answers:

Correct answer:

Explanation:

This problem can be solve more easily by rewriting the decimal into scientific notation.

Because  has an even exponent, we can take the square root of it by dividing it by 2. The square root of 4 is 2, and the square root of 1 is 1, so the square root of 2.5 is less than 2 and greater than 1.

Learning Tools by Varsity Tutors