# How do you determine if a decimal is terminating or repeating?

## How do you determine if a decimal is terminating or repeating?

Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator . If you end up with a remainder of 0 , then you have a terminating decimal.

Is 0.5 terminating or repeating?

For example, 0.5 and 36.8924 are terminating decimals. To indicate that a decimal is repeating, a bar is drawn above the digit or group of digits that repeats. For example, 0.3333… can be written as 0.3 with a bar over the 3.

### Is 3/8 a terminating or repeating decimal?

Answer. A terminating decimal is a decimal that ends. It’s a decimal with a finite number of digits. 3/8 has terminating decimal expansion because when we divide it we get 0.375.

What kind of decimal is the equivalent of 3 8?

0.375

#### Is the fraction 1/3 a terminating decimal?

There are certain fractions that do not terminate like 1/3, 1/9, 1/7. Also, anytime there is a fraction with a 9, 99, 999, etc. in the denominator it will be a repeating, non-terminating decimal. Now, notice that the ones that terminate can be changed to tenths, hundredths, thousandths, etc.

What is 1/3 as a terminating decimal?

It can be shown that a number is rational if and only if its decimal representation is repeating or terminating (i.e. all except finitely many digits are zero). For example, the decimal representation of 13 becomes periodic just after the decimal point, repeating the single digit “3” forever, i.e. 0.333….

## Which fraction can be expressed as a terminating decimal?

A terminating decimal, true to its name, is a decimal that has an end. For example, 1 / 4 can be expressed as a terminating decimal: It is 0.25. In contrast, 1 / 3 cannot be expressed as a terminating decimal, because it is a recurring decimal, one that goes on forever.

Is expressed as a terminating decimal how many nonzero digits will d have?

2 non

### In what way you can determine a non-terminating decimal?

Definition of Non-terminating Decimal: While expressing a fraction in the decimal form, when we perform division we get some remainder. If the division process does not end i.e. we do not get the remainder equal to zero; then such decimal is known as non-terminating decimal.

Which of the following is an example of repeating decimal?

0.666666 is an example of a repeating decimal.

#### Which one of the following decimals is the largest?

The decimal . 35 is the largest.

What is 1/6 as a repeating decimal?

The Decimal Expansion of All Fractions (1/d) from 1/2 through 1/70

Fraction Exact Decimal Equivalent or Repeating Decimal Expansion
1 / 4 0.25
1 / 5 0.2
1 / 6 0.666 ( 1/2 times 1/3)
1 / 7 0.857 (6 repeating digits)

## Which of the following is the representation of decimal number?

. 25 is the representation of a decimal number.

What is the decimal representation of seven hundredths?

.07

### What is 0.0112 as a fraction?

How to Write 0.0112 or 1.12% as a Fraction?

Decimal Fraction Percentage
0.0112 7/625 1.12%
0.0096 6/625 0.96%
0.01125 7/622 1.125%
0.01124 7/623 1.124%

What is the decimal representation of 2/10 Weegy?

20

#### What would 8% be as a decimal?

Percent to decimal conversion table

Percent Decimal
5% 0.05
6% 0.06
7% 0.07
8% 0.08

What is the decimal of 2 100?

0.02

## What is the decimal representation of 911?

0.8182

What is 17 over 5 as a decimal?

How to Write 17/5 as a Decimal?

Fraction Decimal Percentage
17/5 3.4 340%
16/5 3.2 320%
17/2 8.5 850%
17/3 5.66667 566.667%