Knowledge of number sense, concepts, and operations - FTCE
Card 0 of 20
Give the next number in the sequence:

Give the next number in the sequence:
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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.
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.
Evaluate:

Evaluate:
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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:

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:
Calculate

and round the result to the nearest hundredth.
Calculate
and round the result to the nearest hundredth.
Tap to see back →
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.
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.
Give the next number in the sequence:

Give the next number in the sequence:
Tap to see back →
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.
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.
Evaluate:

Evaluate:
Tap to see back →
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:

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:
Calculate

and round the result to the nearest hundredth.
Calculate
and round the result to the nearest hundredth.
Tap to see back →
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.
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.
Give the next number in the sequence:

Give the next number in the sequence:
Tap to see back →
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.
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.
Evaluate:

Evaluate:
Tap to see back →
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:

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:
Calculate

and round the result to the nearest hundredth.
Calculate
and round the result to the nearest hundredth.
Tap to see back →
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.
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.
Give the next number in the sequence:

Give the next number in the sequence:
Tap to see back →
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.
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.
Evaluate:

Evaluate:
Tap to see back →
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:

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:
Calculate

and round the result to the nearest hundredth.
Calculate
and round the result to the nearest hundredth.
Tap to see back →
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.
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.


How many elements are in
?
How many elements are in ?
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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 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.


How many elements are in
?
How many elements are in ?
Tap to see back →
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.
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.


How many elements are in
?
How many elements are in ?
Tap to see back →
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 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.


How many elements are in
?
How many elements are in ?
Tap to see back →
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.
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.


How many elements are in
?
How many elements are in ?
Tap to see back →
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 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.


How many elements are in
?
How many elements are in ?
Tap to see back →
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.
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.


How many elements are in
?
How many elements are in ?
Tap to see back →
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 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.


How many elements are in
?
How many elements are in ?
Tap to see back →
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.
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.