5.4 Decimal and fractions Practice flashcards

A comprehensive set of flashcards covering decimal to fraction conversions, place value, rounding, decimal comparison, and the fundamental counting principle based on the 5.4 study guide.

Fraction equivalent of $0.1$

$$1/10$$

Fraction equivalent of $0.2$ in simplest form

$$1/5$$

Fraction equivalent of $0.4$ in simplest form

$$2/5$$

Fraction equivalent of $0.5$ in simplest form

$$1/2$$

Fraction equivalent of $0.6$ in simplest form

$$3/5$$

Fraction equivalent of $0.75$ in simplest form

$$3/4$$

Fraction equivalent of $0.125$ in simplest form

$$1/8$$

Fraction equivalent of $0.625$ in simplest form

$$5/8$$

Standard Form

The numerical representation of a number, such as $1.726$.

Word Form of $1.726$

one and seven hundred twenty-six thousandths

Expanded Form of $1.726$

$$1 \times 1 + 7 \times (\frac{1}{10}) + 2 \times (\frac{1}{100}) + 6 \times (\frac{1}{1000})$$

Rounding $4.824$ to the nearest whole number

$$5$$

Rounding $4.824$ to the nearest tenth

$$4.8$$

Rounding $4.824$ to the nearest hundredth

$$4.82$$

Place value of the digit $6$ in $1.726$

thousandths

Value of the digit $6$ in $1.726$

$6 \times 1,000$ or $0.006$

One Half equivalent

$0.5$ or $50\%$

One Third equivalent

$0.333$ or $33.3\%$

One Fourth equivalent

$0.25$ or $25\%$

One Fifth equivalent

$0.20$ or $20\%$

One Sixth equivalent

$0.166$ or $16.6\%$

One Seventh equivalent

$0.142$ or $14.2\%$

One Eighth equivalent

$0.125$ or $12.5\%$

One Ninth equivalent

$0.111$ or $11.1\%$

One Tenth equivalent

$0.10$ or $10\%$

Comparing decimals method

Line up the decimal points and compare the digits from left to right in each place-value position until the digits are different.

Fundamental Counting Principle

When there are $m$ ways to do one thing and $n$ ways to do another, then there are $m \times n$ ways of doing both.

Total choices for a car with 2 body styles, 5 colors, and 3 models

$2 \times 5 \times 3 = 30$ total choices