Solving Problems Involving Adding and Subtracting Multiplication and Division Decimal Numbers

In the lively town of Number Ville, the annual Math Games were about to begin. This year, the main event was the "Rational Number Challenge," where participants had to perform operations on rational numbers to solve puzzles. Lily, Max, and Sam, the best of friends, decided to team up for the challenge. Each round presented them with a different task: adding, subtracting, multiplying, or dividing rational numbers. In the first round, they faced a problem involving addition: 1/3 + 2/5. Lily quickly found a common denominator and calculated the sum as 11/15. The second round required them to subtract decimals: 0.75 - 0.4. Max confidently subtracted the numbers to get 0.35. Next, they tackled multiplication: 3/4 x 2/3. Sam multiplied the numerators and denominators, arriving at the answer 1/2. Finally, the division round challenged them with 5/6 ÷ 1/2. Lily remembered to multiply by the reciprocal, solving it as 5/3. With teamwork and quick thinking, the friends completed the challenge, earning the title of Rational Number Champions. They celebrated their victory, knowing they had mastered the art of performing operations on rational numbers. In the first round, Lily added 1/3 + 2/5. What is the sum?

What operation is associated with ratios?

• addition

• subtraction

• multiplication

• division

Subtracting a negative number is the same as performing which operation?

• addition

• subtraction

• multiplication

• division

When comparing decimals, all numbers must have the same number of digits past the decimal.

• True

• False

On three different days at her job, Payton earned $27.50, $33, and $49.75. The desk she wants for her computer costs $100. If she buys the desk, how much money will she have left over?

• 209

• 9

• 102.50

• 10.25

Kyle has two numbers 2.376 and 0.122.
What is the sum of both the numbers?

​ ​ ​ (a)  

What is the difference of both the numbers?

​ ​ (b)  

• 2.498

• 3.498

• 1.498

• 2.254

• 1.456

• 0.876

• 1.75

Chance has two numbers 2.376 and 0.122.
What is the sum of both the numbers?

​ ​ ​ (a)  

What is the difference of both the numbers?

​ ​ (b)  

• 2.498

• 3.498

• 1.498

• 2.254

• 1.456

• 0.876

• 1.75

-12.4 + 9.2 + 1 

Mathematical Equivalence

ON

The picture helps solve which type of problems?

• addition

• subtraction

• multiplication

• division

When solving Order of Operation problems, what is the 1st step?

• Solve any groups

• Exponents

• multiply and divide left to right

• add and subtract left to right