Math Class 5: Basic Operations

Simple Arithmetic

• The result of the expression 8 + 5 - 3 is 10.
• To solve the expression, follow the order of operations (PEMDAS/BODMAS): first perform addition (8 + 5 = 13), then subtraction (13 - 3 = 10).

Solving for a Variable

• If 5 times a number equals 35, the number is 7. To find this, you divide 35 by 5 (35 / 5 = 7).

Two-Step Problems

• A two-step problem requires performing two mathematical operations to reach the solution.
• An example of a two-step problem could be "If a store sells apples for 1eachandyouhave1 each and you have 1eachandyouhave5, how many apples can you buy and how much change will you get?".

Comparison Problems

• A comparison problem involves comparing two quantities.
• In the scenario given, Sarah has twice as many apples as Tom, who has 4 apples. Therefore, Sarah has 8 apples (4 x 2 = 8).

Evaluating Expressions

• The value of the expression 12 ÷ 4 + 5 is 8.
• To solve this, first perform the division (12 ÷ 4 = 3), then add 5 (3 + 5 = 8).

Arithmetic Expressions

• 8 + 5 - 3 equals 10.
• 5 times a number equals 35, the number is 7 (35 divided by 5).

Two-Step Problems

• A two-step problem requires two operations to solve.
• The problem about Sarah and Tom's apples is a two-step problem.

Comparison Problems

• Sarah has twice as many apples as Tom, and Tom has 4 apples, meaning Sarah has 8 apples (4 x 2 = 8).

Multi-Step Problems

• A multi-step problem requires more than two operations to solve.
• The problem about the person buying pencils is a multi-step problem.
• 12 ÷ 4 + 5 equals 8.

Multi-Step Problems with Comparison

• A group of children has 36 candies, and Lucy has 4 times the amount of candies as Mike, meaning Mike has 9 candies (36 divided by 4 = 9).
• If a student started with 15 books, gave away 3, then received 5 more, they would have 17 books (15 - 3 + 5 = 17), this can be represented by the equation 15 - 3 + 5 = 17.

Comparison Problems with Combined Values

• Tim has 7 more marbles than Jane, and together they have 25 marbles, so Jane has 9 marbles (25 - 7 = 18, 18 / 2 = 9).

Multi-Step Problem with Equal Distribution and Subtraction

• A teacher divides 48 candies equally among 6 students, meaning each student receives 8 candies (48 divided by 6 = 8).
• If one student takes 3 candies, each student has 5 candies left (8 - 3 = 5).