Knowledge of number sense, concepts, and operations - FTCE

In the order of operations, any operation within parentheses is always performed first. First, add 12 and 25:

Multiplication takes precedence over subtraction. Multiply 13 by 8 next:

Now subtract:

Add the decimals vertically by aligning the decimal points, and adding the digits without regard to the decimal point:

Round to the nearest hundredth (second place after the decimal point) by examining the next digit to the right. This digit is an 8, so round the hundredths digit up to 7. This makes the correct choice 0.67.

denotes the union of and , the set of all elements that are in , , or both. To find this set, first, collect the elements in both sets:

Arranging:

Removing duplicates:

There are 12 elements in this set.

denotes the intersection of and , the set of all elements the two sets have in common. These elements are underlined below:

is a set with three elements.

The sequence of numbers is formed by starting with 5, and, for each consecutive term, adding a quantity that increases by 1 each time. The sequence is

,

the missing entry.

In the order of operations, any operation within parentheses is always performed first. First, add 12 and 25:

Multiplication takes precedence over subtraction. Multiply 13 by 8 next:

Now subtract:

Add the decimals vertically by aligning the decimal points, and adding the digits without regard to the decimal point:

Round to the nearest hundredth (second place after the decimal point) by examining the next digit to the right. This digit is an 8, so round the hundredths digit up to 7. This makes the correct choice 0.67.

denotes the union of and , the set of all elements that are in , , or both. To find this set, first, collect the elements in both sets:

Arranging:

Removing duplicates:

There are 12 elements in this set.

denotes the intersection of and , the set of all elements the two sets have in common. These elements are underlined below:

is a set with three elements.

The sequence of numbers is formed by starting with 5, and, for each consecutive term, adding a quantity that increases by 1 each time. The sequence is

,

the missing entry.

In the order of operations, any operation within parentheses is always performed first. First, add 12 and 25:

Multiplication takes precedence over subtraction. Multiply 13 by 8 next:

Now subtract:

Add the decimals vertically by aligning the decimal points, and adding the digits without regard to the decimal point:

Round to the nearest hundredth (second place after the decimal point) by examining the next digit to the right. This digit is an 8, so round the hundredths digit up to 7. This makes the correct choice 0.67.

denotes the union of and , the set of all elements that are in , , or both. To find this set, first, collect the elements in both sets:

Arranging:

Removing duplicates:

There are 12 elements in this set.

denotes the intersection of and , the set of all elements the two sets have in common. These elements are underlined below:

is a set with three elements.

The sequence of numbers is formed by starting with 5, and, for each consecutive term, adding a quantity that increases by 1 each time. The sequence is

,

the missing entry.

In the order of operations, any operation within parentheses is always performed first. First, add 12 and 25:

Multiplication takes precedence over subtraction. Multiply 13 by 8 next:

Now subtract:

Add the decimals vertically by aligning the decimal points, and adding the digits without regard to the decimal point:

Round to the nearest hundredth (second place after the decimal point) by examining the next digit to the right. This digit is an 8, so round the hundredths digit up to 7. This makes the correct choice 0.67.

denotes the union of and , the set of all elements that are in , , or both. To find this set, first, collect the elements in both sets:

Arranging:

Removing duplicates:

There are 12 elements in this set.

denotes the intersection of and , the set of all elements the two sets have in common. These elements are underlined below:

is a set with three elements.