Rational Number Operations and Simplification

This video tutorial covers Grade 7 Common Core Math, focusing on applying properties of operations to add and subtract rational numbers. It includes solving two problems: one involving rational numbers and another combining decimals and fractions. The tutorial demonstrates step-by-step solutions, emphasizing the use of properties of operations and the importance of common denominators.

What is the main focus of this lesson?

• Solving equations with rational numbers

• Multiplying rational numbers

• Applying properties of operations to add and subtract rational numbers

• Dividing rational numbers

In problem one, what is the first step in simplifying 80 + (-22) + (-41/15)?

• Add 80 and 41/15

• Add 22 and 41/15

• Subtract 41/15 from 22

• Subtract 22 from 80

How is 58 rewritten to simplify the subtraction in problem one?

• As 56 and 14/15

• As 57 and 15/15

• As 59 and 16/15

• As 58 and 0/15

What is the final answer for problem one as a single rational number?

• 57 and 11/15

• 58 and 12/15

• 59 and 13/15

• 56 and 10/15

In problem three, how is the expression 1/5 + 20.3 - (-5 and 3/5) rewritten?

• 1/5 + 20.3 + 5 and 3/5

• 1/5 - 20.3 + 5 and 3/5

• 1/5 - 20.3 - 5 and 3/5

• 1/5 + 20.3 - 5 and 3/5

What is the sum of 1/5 and 5 and 3/5 in problem three?

• 5 and 2/5

• 6 and 3/5

• 5 and 4/5

• 6 and 1/5

How is 20.3 expressed as a fraction in problem three?

• 20 and 3/20

• 20 and 3/15

• 20 and 3/10

• 20 and 3/5

What is the common denominator used to add fractions in problem three?

• 10

• 20

• 5

• 15

What is the final answer for problem three as a single rational number?

• 27 and 2/10

• 26 and 1/10

• 25 and 9/10

• 24 and 8/10

If problem three was solved using decimals, what would the answer be?

• 24.8

• 26.1

• 25.9

• 27.2