# SAT Math : Decimals

## Example Questions

### Example Question #21 : Decimals

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

Explanation:

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

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.

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?

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:

### Example Question #1 : Decimals

What is the fractional equivalent of ?

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.

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  lie between 0 and 1, which of the following is always greater than 1?

Explanation:

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.

### Example Question #1 : How To Square A Decimal

Evaluate:

0.082

0.064

0.00064

0.64

0.0064

0.00064

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:

Explanation:

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

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

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

Find the square root of the following decimal:

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: