Mathematics
Grade 3
15 min
Comparing - with addition and subtraction
Comparing - with addition and subtraction
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Compare the results of two addition expressions using <, >, or =.
Compare the results of two subtraction expressions using <, >, or =.
Compare the result of an addition expression with the result of a subtraction expression.
Solve each side of a comparison problem before determining the correct symbol.
Solve one-step word problems that require comparing sums and differences.
Determine if a given comparison statement involving addition or subtraction is true or false.
Imagine you scored 10 points then 5 more in a game. Your friend scored 20 points but lost 3. Who is winning? ๐
In this lesson, we will learn how to compare amounts that change. We won't just compare two numbers; we'll solve a math problem on each side first, and then c...
2
Key Concepts & Vocabulary
TermDefinitionExample
ExpressionA math phrase that has numbers and operation signs, like +, -, ร, or รท. It does not have an equals sign.15 + 4 is an expression. 20 - 8 is another expression.
SumThe answer you get when you add two or more numbers together.The sum of 7 + 3 is 10.
DifferenceThe answer you get when you subtract one number from another.The difference of 9 - 2 is 7.
CompareTo look at two numbers or values and decide which is greater, which is less, or if they are equal.When we compare 5 and 8, we see that 5 is less than 8.
Greater Than (>)The symbol used to show that the first number is bigger than the second number.12 > 9
Less Than (<)The symbol used to show that the first number is smaller than the second number.6 < 11
Equal To (=)The symbol used to show that two...
3
Core Formulas
Solve First, Then Compare
To compare `a + b` and `c - d`, first find the value of `x = a + b` and the value of `y = c - d`. Then, compare `x` and `y`.
You must always find the answer for each expression on both sides of the comparison box or blank line *before* you decide which symbol (<, >, =) to use.
The Alligator Rule
The comparison symbol (`<` or `>`) is like an alligator's mouth. It always opens to 'eat' the bigger number.
Use this trick to remember which way the symbol should face. If the numbers are the same, use the equals sign (=).
5 more steps in this tutorial
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Challenging
The sum of two numbers is 45. The difference of two other numbers is also 45. How does the value of the sum compare to the value of the difference?
A.The sum is greater than the difference.
B.The sum is less than the difference.
C.The sum is equal to the difference.
D.It's impossible to tell.
Challenging
If X = 45 + 18, which of the following statements is true?
A.X > 90 - 25
B.X < 35 + 25
C.X = 100 - 37
D.X < 80 - 20
Challenging
Which number, when placed in the box, would make the following statement FALSE? 55 + 25 < 120 - โ
A.10
B.20
C.30
D.50
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