MCAS Math Grade 4 study materials
MCAS Math Grade 4 study resources

MCAS Math Grade 4 key terms

MCAS Math Grade 4 · Get comfortable with the vocabulary.

place value

The value a digit has because of its position in a number. In 4,582 the 5 means 5 hundreds, or 500, while the 8 means 8 tens, or 80.

Related: standard form, expanded form, rounding
standard form

A number written with digits only, using place value positions, such as 3,407. This is the usual way numbers appear in problems and on answer sheets.

Related: expanded form, word form, place value
expanded form

A number broken apart to show the value of each digit, written as a sum. For example, 3,407 is written as 3,000 + 400 + 7.

Related: standard form, place value, word form
word form

A number written out in words, such as three thousand four hundred seven. Hyphens and commas are usually left out, and the word and is not needed.

Related: standard form, expanded form
rounding

Replacing a number with a nearby number of a chosen place value. Look at the digit to the right: 4 or less keeps the digit, 5 or more increases it by one.

Related: place value, estimate, compatible numbers
estimate

A number close to an exact answer, found by rounding or using friendly numbers. Estimates help check whether a calculated answer is reasonable.

Related: rounding, compatible numbers, reasonableness
compatible numbers

Numbers adjusted to make mental arithmetic easier, such as changing 397 + 48 to 400 + 48. They give an estimate rather than an exact answer.

Related: estimate, rounding
compare

To decide which of two numbers is greater or whether they are equal, using the symbols >, <, and =. Compare place values from left to right.

Related: place value, order
order

To arrange numbers from least to greatest or greatest to least. Comparing digits place by place, starting at the left, determines the order.

Related: compare, place value
sum

The result of adding two or more numbers together. In 245 + 138 = 383, the sum is 383.

Related: difference, addend
difference

The result of subtracting one number from another. In 500 - 176 = 324, the difference is 324.

Related: sum, subtraction with regrouping
product

The result of multiplying two or more numbers. In 6 × 7 = 42, the product is 42.

Related: factor, quotient, multiple
quotient

The result of dividing one number by another. In 56 ÷ 8 = 7, the quotient is 7.

Related: dividend, divisor, remainder
factor

A number that is multiplied in a multiplication expression, or a number that divides another evenly. In 4 × 9 = 36, both 4 and 9 are factors.

Related: product, multiple, prime number
multiple

The result of multiplying a whole number by another whole number. Multiples of 6 include 6, 12, 18, 24, and so on.

Related: factor, product, least common multiple
dividend

The number being divided in a division problem. In 72 ÷ 9 = 8, the dividend is 72.

Related: divisor, quotient, remainder
divisor

The number you divide by in a division problem. In 72 ÷ 9 = 8, the divisor is 9.

Related: dividend, quotient, remainder
remainder

The amount left over when a number does not divide evenly. Dividing 25 by 4 gives a quotient of 6 with a remainder of 1.

Related: quotient, divisor, dividend
prime number

A whole number greater than 1 with exactly two factors, 1 and itself. Examples are 2, 3, 5, 7, and 11.

Related: composite number, factor
composite number

A whole number greater than 1 that has more than two factors. For example, 12 has the factors 1, 2, 3, 4, 6, and 12.

Related: prime number, factor
fraction

A number that names part of a whole or part of a set, written as a numerator over a denominator. The denominator tells how many equal parts there are.

Related: numerator, denominator, equivalent fractions
numerator

The top number of a fraction. It tells how many equal parts are being described, as in 3/4, where 3 is the numerator.

Related: denominator, fraction
denominator

The bottom number of a fraction. It tells the total number of equal parts in the whole, as in 3/4, where 4 is the denominator.

Related: numerator, fraction
equivalent fractions

Fractions that name the same amount even though the numbers differ, such as 1/2 and 2/4. Multiplying numerator and denominator by the same number creates them.

Related: fraction, simplest form
decimal

A number written with a decimal point to show whole-number parts and parts less than one. In 3.75, the 7 stands for seven tenths.

Related: decimal point, place value, fraction
decimal point

The dot that separates the whole-number part from the fractional part of a decimal. Digits to its right have place values of tenths, hundredths, and so on.

Related: decimal, place value
area

The number of square units needed to cover a flat figure. A rectangle's area equals length times width.

Related: perimeter, square unit
perimeter

The distance around the outside of a closed figure, found by adding the lengths of all its sides. Perimeter is measured in linear units such as inches or centimeters.

Related: area, length
square unit

A square with sides one unit long, used to measure area. A rectangle 3 units by 4 units covers 12 square units.

Related: area, unit
angle

A figure formed by two rays that share a common endpoint called the vertex. Angles are measured in degrees with a tool called a protractor.

Related: right angle, degree, vertex
right angle

An angle that measures exactly 90 degrees, often shown with a small square mark. The corners of a rectangle and a square are right angles.

Related: angle, degree, perpendicular
degree

The unit used to measure angles. A full turn is 360 degrees, a straight angle is 180 degrees, and a right angle is 90 degrees.

Related: angle, right angle, protractor
line of symmetry

A line that divides a figure into two matching halves that fold onto each other exactly. A square has four lines of symmetry.

Related: congruent, figure
congruent

Having exactly the same size and shape. Two figures are congruent if one can be moved onto the other and match perfectly.

Related: line of symmetry, similar
pattern

A sequence or arrangement that follows a repeating or growing rule. For example, 3, 6, 12, 24 doubles each time.

Related: rule, sequence
rule

The operation or relationship that generates each term of a pattern from the one before. For example, the rule add 5 turns 2 into 7.

Related: pattern, sequence
line plot

A number line marked with data values where each X above a value stands for one observation. It shows how often each value occurs.

Related: data, number line
mode

The value that appears most often in a data set. A set can have one mode, more than one mode, or no mode.

Related: median, line plot
median

The middle value of a data set arranged in order. If there are two middle values, the median is their average.

Related: mode, line plot
mixed number

A number made of a whole number and a fraction, such as 2 1/3. It can be rewritten as an improper fraction.

Related: fraction, improper fraction
improper fraction

A fraction whose numerator is greater than or equal to its denominator, such as 7/4. Its value is 1 or more.

Related: mixed number, fraction