Question

Yvette needs of a teaspoon of salt, 3 of a tablespoon of baking soda and of a cup of sugar to bake a cake.

2
Which of the following are correct concerning the decimal expansions of, 3. and ?
The number expands to 0.625 while expands to 0.75.
The numbers and are terminating decimals while is a non-terminating decimal.
The order of the measurements from least to greatest are.
The number expands to 0.75 while expands to 0.6.
The order of the measurements from least to greatest are.
The numbers and are terminating decimals.
The order of the measurements from least to greatest are.
The number is a terminating decimal while and are non-terminating decimals

Answer 1

The decimal expansions of the fractions given are 0.5 for ½, 0.625 for ⅝, and 0.75 for ¾. All of these fractions expand to terminating decimals. The order from least to greatest is 0.5, 0.625, and 0.75.

Step-by-step explanation:

The fraction ¾ of a teaspoon translates to the decimal 0.75, since there are four quarters in a whole, and 0.75 is three of those quarters. Similarly, ½ of a tablespoon can be understood as 0.5 since there are two halves in a whole. Lastly, ⅝ of a cup is equal to 0.625 because there are eight eighths in a whole and five of those eighths would give us five times 0.125, which equals 0.625.

When comparing these decimals to determine the order from least to greatest, we see that 0.5 (the tablespoon measurement) is the smallest, followed by 0.625 (the cup measurement), and finally 0.75 (the teaspoon measurement is the largest). Since all these decimals come to an end, they are known as terminating decimals.