Mathematics
Grade 7
15 min
Add, subtract, multiply, or divide two whole numbers
Add, subtract, multiply, or divide two whole numbers
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1
Introduction & Learning Objectives
Learning Objectives
Accurately add any two whole numbers.
Accurately subtract any two whole numbers.
Accurately multiply any two whole numbers.
Accurately divide any two whole numbers, including expressing remainders.
Identify and apply the correct operation to solve word problems involving two whole numbers.
Use estimation to check the reasonableness of their answers for basic operations.
Explain the relationship between inverse operations (addition/subtraction, multiplication/division).
Ever wonder how many total points your favorite sports team scored over two games? Or how many cookies each friend gets if you share a batch? 🍪
In this lesson, we'll sharpen our skills in adding, subtracting, multiplying, and dividing whole numbers. These fundamental operations are...
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Key Concepts & Vocabulary
TermDefinitionExample
Whole NumbersThe set of non-negative integers (0, 1, 2, 3, ...). They do not include fractions, decimals, or negative numbers.25, 0, 1003 are whole numbers. 2.5 and -7 are not.
SumThe result of adding two or more numbers together.The sum of 15 and 20 is 35 (15 + 20 = 35).
DifferenceThe result of subtracting one number from another.The difference between 50 and 18 is 32 (50 - 18 = 32).
ProductThe result of multiplying two or more numbers.The product of 12 and 5 is 60 (12 × 5 = 60).
QuotientThe result obtained when one number is divided by another.The quotient of 72 divided by 8 is 9 (72 ÷ 8 = 9).
RemainderThe amount left over after a division operation when one number cannot be divided exactly by another.When 25 is divided by 4, the quotient is 6 and the remainder is...
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Core Formulas
Rule of Addition
$a + b = c$
To find the total amount when combining two quantities. 'a' and 'b' are addends, 'c' is the sum. The order of addends does not change the sum (Commutative Property).
Rule of Subtraction
$a - b = c$
To find the difference between two quantities or to find how much is left after taking away. 'a' is the minuend, 'b' is the subtrahend, 'c' is the difference. The order matters.
Rule of Multiplication
$a \times b = c$
To find the total when combining equal groups or repeated addition. 'a' and 'b' are factors, 'c' is the product. The order of factors does not change the product (Commutative Property).
Rule of Division
$a \div b = c \text{ R } d$
To...
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Challenging
A warehouse receives a shipment of 25 identical crates, each weighing 150 kilograms. The total cost of the shipment was $4,500. If each crate contains 75 boxes of widgets, and the manager wants to store these boxes on shelves that can hold 225 boxes each, how many full shelves will be used?
A.8
B.9
C.16
D.20
Challenging
A student was asked to divide 3,159 by 15. Their final answer was 21 R 9. Analyze their work to identify the most likely error.
A.They made a subtraction error in the final step of the long division.
B.They forgot to place a zero in the quotient when 15 could not go into 9.
C.They made a multiplication error when determining how many times 15 goes into 31.
D.They added the remainder instead of subtracting to find it.
Challenging
When a certain number is divided by 12, the quotient is 48 and the remainder is 7. What is that number?
A.583
B.576
C.348
D.569
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