Number Power Vocabulary Sheet
Math Reference Core Number Concepts
Number Power Vocabulary Sheet
Key definitions, operational results, and visual models for arithmetic mastery
Name:
Date:
Part 1: Building Numbers & Computing
Digit Noun
Any numeral from 0 through 9 used to build numbers.
Digits in 7,429:
7 4 2 9
Expanded Form Noun
Writing a number to show the value of each individual digit.
Value Breakdown:
3,528 =
3,000 + 500 + 20 + 8
Calculate Verb
To solve or compute an answer using mathematical operations.
Operations:
+−×÷
Calculate: 15 × 4 = 60
Part 2: The Four Operation Results
Sum Addition (+)
The total resulting from adding two or more numbers together.
24 + 18 = 42 (SUM)
Difference Subtraction (−)
The amount left over when one number is subtracted from another.
63 − 25 = 38 (DIFFERENCE)
Product Multiplication (×)
The total result obtained by multiplying two or more factors.
7 × 8 = 56 (PRODUCT)
Quotient Division (÷)
The answer resulting from dividing one number by another.
48 ÷ 6 = 8 (QUOTIENT)
Part 3: Factors, Multiples & Divisibility
Factor Noun
A whole number that divides evenly into another with no remainder.
Factors of 12:
1, 2, 3, 4, 6, 12
(3 × 4 = 12)
Multiple Noun
The product of a number multiplied by counting numbers (skip counts).
Multiples of 5:
5, 10, 15, 20, 25...
(Multiples grow)
Divisible Adjective
Can be divided by another number with zero remainder left over.
Is 24 divisible by 6?
24 ÷ 6 = 4 (R: 0)
✓ Yes, cleanly divisible!
Memory Anchors
4 Results: Sum (+), Difference (−), Product (×), Quotient (÷).
Factors vs. Multiples: Factors divide cleanly; multiples multiply and expand.
Example: 8 Factors: 1, 2, 4, 8 Multiples: 8, 16, 24, 32...
Student Practice
Vocabulary Application Lab
Name:
Score: / 20
Section 1: Match the Definition
Write the matching letter in each blank
1. Quotient
2. Difference
3. Product
4. Divisible
5. Expanded Form
A. The answer resulting from dividing one number by another.
B. The amount resulting when one number is subtracted from another.
C. The answer resulting from multiplying factors together.
D. Able to be divided with no remainder left over.
E. Showing a number as the sum of the values of each digit.
Section 2: Equation Detective
Label each part using: [ sum , difference , product , quotient , digit , factor ]
8 × 6 = 48 | 48 ÷ 6 = 8
In 8 × 6 = 48, the number 6 is a:
In 8 × 6 = 48, the number 48 is the:
In 48 ÷ 6 = 8, the answer 8 is the:
35 + 46 = 81 | 81 − 35 = 46
In 35 + 46 = 81, the number 81 is the:
In 81 − 35 = 46, the number 46 is the:
The numeral 3 in 35 is a single:
Section 3: Place Value & Calculating
Write in expanded form:
8,394
Calculate each operation result:
Sum (45+27):
Diff (80−32):
Product (6×7):
Quotient (56÷8):
Section 4: Factors, Multiples & Divisibility
Write the first four multiples of 8:
List all factors of 20:
Is 45 divisible by 5? Explain why:
Section 5: Math Sentence Challenge
Select two words from today's list and write an accurate mathematical sentence: