Numbers and Place Value: Glossary

130 words, listed in the order you meet them in Courseversity lessons.

Full explanations

All words in this topic

Grade 1

count

From Grade 1

To say numbers one by one as you touch each thing.

Learn it in: Understanding numbers (Grade 1), Counting objects from 0–10 (Grade 1), Counting categories (Grade 1)

first, second, third

From Grade 1

Words that tell the order of things.

Learn it in: Understanding numbers (Grade 1)

group

From Grade 1

Things that are together.

Learn it in: Understanding numbers (Grade 1), Combining groups (Grade 1), Sorting objects (Grade 1)

label

From Grade 1

A number used as a name, such as a house number.

Learn it in: Understanding numbers (Grade 1), Classifying objects (Grade 1), Bar graphs (Grade 2)

number

From Grade 1

A word or idea that tells how many or which one. Example: three.

Learn it in: Understanding numbers (Grade 1)

number word

From Grade 1

A number written in letters. Example: five.

Learn it in: Understanding numbers (Grade 1), Reading and writing numbers (Grade 1)

numeral

From Grade 1

The mark we write for a number. Example: 3.

Learn it in: Understanding numbers (Grade 1), Reading and writing numbers (Grade 1), Numbers to 100,000 (Grade 4)

zero

From Grade 1

The number for none. We write 0.

Learn it in: Understanding numbers (Grade 1), Counting objects from 0–10 (Grade 1), Reading and writing numbers (Grade 1)

how many

From Grade 1

The total number of things.

Learn it in: Counting objects from 0–10 (Grade 1), Dividing whole numbers by unit fractions (Grade 5)

one-to-one

From Grade 1

Saying one number for each object, once.

Learn it in: Counting objects from 0–10 (Grade 1)

eleven, twelve

From Grade 1

The number words for 11 and 12.

Learn it in: Counting from 11–20 (Grade 1)

teen number

From Grade 1

A number from 13 to 19. Eleven and twelve are also “ten and some more”.

Learn it in: Counting from 11–20 (Grade 1)

ten

From Grade 1

A group of 10 ones.

Learn it in: Counting from 11–20 (Grade 1), Understanding tens (Grade 1)

twenty

From Grade 1

Two groups of ten, written 20.

Learn it in: Counting from 11–20 (Grade 1)

digit

From Grade 1

One of the symbols 0 to 9. The number 12 uses two digits.

Learn it in: Reading and writing numbers (Grade 1), Tens and ones (Grade 1), Understanding ones (Grade 1)

fewer

From Grade 1

A smaller number of things.

Learn it in: Comparing numbers (Grade 1), Finding how many remain (Grade 1), Counting categories (Grade 1)

greater than

From Grade 1

Bigger in amount. 9 is greater than 5.

Learn it in: Comparing numbers (Grade 1), Comparing two-digit numbers (Grade 1), Comparing three-digit numbers (Grade 2)

less than

From Grade 1

Smaller in amount. 5 is less than 9.

Learn it in: Comparing numbers (Grade 1), Comparing two-digit numbers (Grade 1)

more

From Grade 1

A larger number of things.

Learn it in: Comparing numbers (Grade 1), Counting categories (Grade 1), Comparing data (Grade 2)

after

From Grade 1

Comes later in counting. 6 is after 5.

Learn it in: Ordering numbers (Grade 1)

before

From Grade 1

Comes earlier in counting. 4 is before 5.

Learn it in: Ordering numbers (Grade 1)

between

From Grade 1

In the middle of two numbers. 5 is between 4 and 6.

Learn it in: Ordering numbers (Grade 1), Ordering numbers (Grade 1), Spatial reasoning (Grade 2)

order

From Grade 1

Putting things one after another in a rule.

Learn it in: Ordering numbers (Grade 1), Ordering numbers (Grade 1), Comparing lengths (Grade 1)

backwards

From Grade 1

In the direction numbers get smaller.

Learn it in: Counting forwards and backwards (Grade 1)

count back

From Grade 1

Say the numbers in order, getting smaller.

Learn it in: Counting forwards and backwards (Grade 1), Subtraction within 20 (Grade 1), Subtraction within 100 (Grade 2)

count on

From Grade 1

Say the next numbers in order, getting bigger.

Learn it in: Counting forwards and backwards (Grade 1), Counting-on strategies (Grade 1), Counting hundreds (Grade 2)

forwards

From Grade 1

In the direction numbers get bigger.

Learn it in: Counting forwards and backwards (Grade 1)

next

From Grade 1

Comes straight after.

Learn it in: Numbers to 50 (Grade 1), Recognising patterns (Grade 1)

pattern

From Grade 1

Something that repeats in a way you can predict.

Learn it in: Numbers to 50 (Grade 1), Recognising patterns (Grade 1), Multiplication facts for 2, 5 and 10 (Grade 2)

tens

From Grade 1

Groups of ten.

Learn it in: Numbers to 50 (Grade 1), Tens and ones (Grade 1), Understanding tens (Grade 1)

thirty, forty, fifty

From Grade 1

The words for 30, 40 and 50.

Learn it in: Numbers to 50 (Grade 1)

column

From Grade 1

Things one above another, top to bottom.

Learn it in: Numbers to 100 (Grade 1), Addition within 1,000 (Grade 2), Regrouping in addition (Grade 2)

hundred

From Grade 1

Ten tens, written 100.

Learn it in: Numbers to 100 (Grade 1), Counting hundreds (Grade 2)

hundred chart

From Grade 1

A grid of numbers from 1 to 100 in rows of ten.

Learn it in: Numbers to 100 (Grade 1)

row

From Grade 1

Things side by side, left to right.

Learn it in: Numbers to 100 (Grade 1), Picture graphs (Grade 1), Arrays (Grade 2)

ones

From Grade 1

Single things. The ones digit shows how many.

Learn it in: Tens and ones (Grade 1), Grouping objects into tens (Grade 1), Understanding ones (Grade 1)

place

From Grade 1

The position of a digit in a number.

Learn it in: Tens and ones (Grade 1), Understanding ones (Grade 1), Numbers to 1,000 (Grade 2)

bundle

From Grade 1

Things tied or grouped together.

Learn it in: Grouping objects into tens (Grade 1)

group of ten

From Grade 1

Ten things together.

Learn it in: Grouping objects into tens (Grade 1)

leftover

From Grade 1

Fewer than ten that remain.

Learn it in: Grouping objects into tens (Grade 1), Division using objects (Grade 2)

value

From Grade 1

How much a digit is worth.

Learn it in: Understanding ones (Grade 1), Recognising local coins and notes (Grade 1), Counting money (Grade 2)

place value

From Grade 1

The value of a digit because of where it is.

Full explanation with examples and practice →

Learn it in: Understanding tens (Grade 1), Hundreds, tens and ones (Grade 2), Expanded form (Grade 2)

value of a digit

From Grade 1

How much a digit is worth.

Full explanation with examples and practice →

Learn it in: Understanding tens (Grade 1)

break apart

From Grade 1

Split into parts.

Learn it in: Representing two-digit numbers (Grade 1)

model

From Grade 1

A picture or objects that stand for a number.

Learn it in: Representing two-digit numbers (Grade 1), Mathematical modelling (Grade 6)

represent

From Grade 1

Show a number in a picture, a model or words.

Learn it in: Representing two-digit numbers (Grade 1)

two-digit number

From Grade 1

A number with a tens digit and a ones digit.

Learn it in: Representing two-digit numbers (Grade 1)

compare

From Grade 1

Look at two numbers to see which is bigger or smaller.

Learn it in: Comparing two-digit numbers (Grade 1), Comparing lengths (Grade 1), Reviewing numbers to 100 (Grade 2)

equal

From Grade 1

The same.

Learn it in: Comparing two-digit numbers (Grade 1), Squares (Grade 1), Equal groups (Grade 2)

ascending

From Grade 1

From smallest to greatest.

Learn it in: Ordering numbers (Grade 1), Ordering numbers (Grade 2), Ordering numbers (Grade 3)

descending

From Grade 1

From greatest to smallest.

Learn it in: Ordering numbers (Grade 1), Ordering numbers (Grade 2), Ordering numbers (Grade 3)

Grade 2

hundreds

From Grade 2

Groups of one hundred.

Learn it in: Counting hundreds (Grade 2), Hundreds, tens and ones (Grade 2), Addition within 1,000 (Grade 2)

thousand

From Grade 2

Ten hundreds. Written 1,000.

Learn it in: Counting hundreds (Grade 2), Numbers to 10,000 (Grade 3), Numbers to 100,000 (Grade 4)

in words

From Grade 2

Written with letters.

Learn it in: Numbers to 1,000 (Grade 2), Numbers to 10,000 (Grade 3)

three-digit number

From Grade 2

A number from 100 to 999.

Learn it in: Numbers to 1,000 (Grade 2)

expanded form

From Grade 2

A number written as the sum of its place values.

Learn it in: Expanded form (Grade 2), Expanded form (Grade 3), Expanded form (Grade 5)

standard form

From Grade 2

The usual way to write a number, like 345.

Learn it in: Expanded form (Grade 2), Expanded form (Grade 3), Expanded notation (Grade 4)

equal to

From Grade 2

The same. Sign: =.

Learn it in: Comparing three-digit numbers (Grade 2), Comparing numbers (Grade 3), Comparing large numbers (Grade 4)

biggest

From Grade 2

The largest number.

Learn it in: Ordering numbers (Grade 2)

missing

From Grade 2

Not there yet.

Learn it in: Number sequences (Grade 2), Number patterns (Grade 3)

even

From Grade 2

Can be put in pairs with none left over.

Learn it in: Odd and even numbers (Grade 2), Prime numbers (Grade 4)

odd

From Grade 2

Has one left over when put in pairs.

Learn it in: Odd and even numbers (Grade 2), Prime numbers (Grade 4)

ones digit

From Grade 2

The last digit of a number.

Learn it in: Odd and even numbers (Grade 2)

pair

From Grade 2

A group of two.

Learn it in: Odd and even numbers (Grade 2), Skip counting (Grade 2)

Grade 3

four-digit number

From Grade 3

A number from 1,000 to 9,999.

Learn it in: Numbers to 10,000 (Grade 3)

thousands

From Grade 3

Groups of 1,000.

Learn it in: Thousands, hundreds, tens and ones (Grade 3)

nearest ten

From Grade 3

The closest multiple of 10.

Learn it in: Rounding to the nearest ten (Grade 3)

round down

From Grade 3

Stay on the lower ten.

Full explanation with examples and practice →

Learn it in: Rounding to the nearest ten (Grade 3), Rounding to the nearest hundred (Grade 3)

round up

From Grade 3

Go to the next ten.

Full explanation with examples and practice →

Learn it in: Rounding to the nearest ten (Grade 3), Rounding to the nearest hundred (Grade 3)

nearest hundred

From Grade 3

The closest multiple of 100.

Learn it in: Rounding to the nearest hundred (Grade 3)

term

From Grade 3

One number in a pattern.

Learn it in: Number patterns (Grade 3), Number patterns (Grade 4), Number patterns (Grade 5)

Grade 4

period

From Grade 4

A group of three digits.

Learn it in: Numbers to 100,000 (Grade 4), Large whole numbers (Grade 5), Large whole numbers (Grade 6)

comma

From Grade 4

Marks the groups of three digits.

Learn it in: Numbers beyond 100,000 (Grade 4)

hundred thousand

From Grade 4

100,000.

Learn it in: Numbers beyond 100,000 (Grade 4)

million

From Grade 4

1,000,000, one thousand thousands.

Learn it in: Numbers beyond 100,000 (Grade 4), Large whole numbers (Grade 5), Large whole numbers (Grade 6)

six-digit number

From Grade 4

A number from 100,000 to 999,999.

Learn it in: Numbers beyond 100,000 (Grade 4)

digit value

From Grade 4

Digit times the place.

Learn it in: Place value (Grade 4), Place-value review (Grade 6)

hundred thousands

From Grade 4

The sixth place from the right.

Learn it in: Place value (Grade 4)

ten thousands

From Grade 4

The fifth place from the right.

Learn it in: Place value (Grade 4)

expanded notation

From Grade 4

A number written as a sum of place values.

Learn it in: Expanded notation (Grade 4)

greatest

From Grade 4

The biggest.

Learn it in: Ordering large numbers (Grade 4), Ordering fractions (Grade 4)

nearest

From Grade 4

Closest.

Learn it in: Rounding (Grade 4), Rounding (Grade 5), Rounding decimals (Grade 5)

rounding place

From Grade 4

The digit we round to.

Learn it in: Rounding (Grade 4), Rounding (Grade 5), Rounding decimals (Grade 5)

less

From Grade 4

Subtract.

Learn it in: Number relationships (Grade 4)

relationship

From Grade 4

How numbers connect.

Learn it in: Number relationships (Grade 4)

divisible

From Grade 4

Can be divided with no remainder.

Learn it in: Understanding factors (Grade 4), Understanding multiples (Grade 4)

factor pair

From Grade 4

Two factors that multiply to the number.

Learn it in: Factor pairs (Grade 4)

square number

From Grade 4

A number times itself.

Learn it in: Factor pairs (Grade 4)

common multiple

From Grade 4

A multiple shared by two numbers.

Learn it in: Understanding multiples (Grade 4), Least common multiple (Grade 6)

prime number

From Grade 4

Has exactly two factors: 1 and itself.

Learn it in: Prime numbers (Grade 4), Composite numbers (Grade 4)

composite number

From Grade 4

Has more than two factors.

Learn it in: Composite numbers (Grade 4)

Grade 5

one tenth

From Grade 5

÷10.

Learn it in: Place-value relationships (Grade 5)

ten times

From Grade 5

×10.

Learn it in: Place-value relationships (Grade 5)

base

From Grade 5

The number multiplied.

Learn it in: Powers of ten (Grade 5), Area of triangles (Grade 6), Area of parallelograms (Grade 6)

exponent

From Grade 5

Tells how many 10s.

Learn it in: Powers of ten (Grade 5)

power of ten

From Grade 5

10 multiplied by itself.

Learn it in: Powers of ten (Grade 5)

zeros

From Grade 5

Digits 0.

Learn it in: Powers of ten (Grade 5)

evaluate

From Grade 5

Find the value.

Learn it in: Numerical expressions (Grade 5), Order of operations (Grade 5), Order of operations (Grade 5)

expression

From Grade 5

Numbers and operations without =.

Learn it in: Numerical expressions (Grade 5), Numerical expressions (Grade 5), Algebraic expressions (Grade 6)

parentheses

From Grade 5

Brackets that group.

Learn it in: Numerical expressions (Grade 5), Order of operations (Grade 5), Order of operations (Grade 5)

Grade 6

composite

From Grade 6

More than two factors.

Learn it in: Factors and multiples (Grade 6), Area of composite figures (Grade 6)

prime

From Grade 6

Exactly two factors.

Learn it in: Factors and multiples (Grade 6)

factor tree

From Grade 6

Splitting a number into factors.

Learn it in: Prime factorisation (Grade 6)

index

From Grade 6

The small raised number.

Learn it in: Prime factorisation (Grade 6)

prime factor

From Grade 6

A factor that is prime.

Learn it in: Prime factorisation (Grade 6)

GCF

From Grade 6

Greatest common factor.

Learn it in: Greatest common factor (Grade 6), Fraction simplification (Grade 6)

LCM

From Grade 6

Least common multiple.

Learn it in: Least common multiple (Grade 6)

integer

From Grade 6

Whole number, positive, negative or zero.

Learn it in: Introduction to integers (Grade 6), Secondary mathematics readiness (Grade 6)

negative

From Grade 6

Less than zero.

Learn it in: Introduction to integers (Grade 6), Positive and negative numbers (Grade 6)

positive

From Grade 6

Greater than zero.

Learn it in: Introduction to integers (Grade 6), Positive and negative numbers (Grade 6)

absolute value

From Grade 6

Distance from zero.

Learn it in: Positive and negative numbers (Grade 6)

move left

From Grade 6

Subtract.

Learn it in: Integers on number lines (Grade 6)

part-to-part

From Grade 6

One part with another.

Learn it in: Understanding ratios (Grade 6)

part-to-whole

From Grade 6

A part with the total.

Learn it in: Understanding ratios (Grade 6)

quantity

From Grade 6

An amount.

Learn it in: Understanding ratios (Grade 6), Finding percentages of quantities (Grade 6)

ratio

From Grade 6

Comparison of two quantities.

Learn it in: Understanding ratios (Grade 6), Ratio word problems (Grade 6)

colon

From Grade 6

The mark : in a ratio.

Learn it in: Ratio notation (Grade 6)

fraction of total

From Grade 6

Part divided by total.

Learn it in: Ratio notation (Grade 6)

notation

From Grade 6

Way of writing.

Learn it in: Ratio notation (Grade 6)

equivalent ratios

From Grade 6

Same relationship.

Learn it in: Equivalent ratios (Grade 6)

scale down

From Grade 6

Divide both terms.

Learn it in: Equivalent ratios (Grade 6)

scale up

From Grade 6

Multiply both terms.

Learn it in: Equivalent ratios (Grade 6)

ratio table

From Grade 6

Table of equivalent ratios.

Learn it in: Ratio tables (Grade 6)

unit value

From Grade 6

Value for one.

Learn it in: Ratio tables (Grade 6)

rate

From Grade 6

Ratio with different units.

Learn it in: Unit rates (Grade 6), Mathematical modelling (Grade 6)

speed

From Grade 6

Distance per time.

Learn it in: Unit rates (Grade 6), Real-world applications (Grade 6)

unit rate

From Grade 6

Amount for one unit.

Learn it in: Unit rates (Grade 6)

better buy

From Grade 6

Lower cost per unit.

Learn it in: Comparing quantities (Grade 6)

exchange rate

From Grade 6

Money for money.

Learn it in: Real-world applications (Grade 6)

recipe

From Grade 6

Ingredient instructions.

Learn it in: Real-world applications (Grade 6)

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