Exercises: Repeating and Terminating Decimals

$4 \div 3$

$3 \times 4$

$4 - 3$

$3 \div 4$

$3.4\underline{5}6$ — the underlined digit is in the hundredths place

$3.\underline{4}56$ — the underlined digit is in the hundredths place

$3.45\underline{6}$ — the underlined digit is in the hundredths place

$\underline{3}.456$ — the underlined digit is in the hundredths place

$0.3$, because after one division step the answer is settled

$0.333$, because the remainder 1 keeps returning and the division never ends

$0.3$ exactly, with no further digits needed

$0.33$, because two threes are enough to show the pattern

$\frac{125}{100}$, kept unsimplified since 100 is a familiar denominator

$\frac{125}{10}$, using one zero for the whole number of digits shown

$\frac{1}{8}$, because three decimal places give thousandths, $\frac{125}{1000}$, which simplifies to $\frac{1}{8}$

$\frac{12}{100}$, dropping the final digit before writing the denominator