Find each difference. a. (-5)-6 c. (2)/(5)-(3)/(5) b. 35-(-8) d. -4 (3)/(8)-(-1 (1)/(4))

Name: Problem 4, Chapter 5: Grade 7 Mathematics: Open Up Resources, Common Core State Standards Edition
Uploaded: 2022-01-06T16:21:04-08:00
Duration: 1 min 43 s
Channel: Allison Knapp
Description: Find each difference. a. (-5)-6 c. (2)/(5)-(3)/(5) b. 35-(-8) d. -4 (3)/(8)-(-1 (1)/(4))

step 1 For this problem set, we are asked to find the difference between each set of numbers. So for A,

Find each difference. a. (-5)-6 c. (2)/(5)-(3)/(5) b....

Key Concepts

Subtraction of Integers

This concept involves performing arithmetic operations that reduce a number by another. It is fundamental to understanding how numeric values change, especially when one or both of the numbers are negative. Recognizing that subtracting a negative number transforms the operation into addition is key to evaluating expressions with integers correctly.

Negative Numbers

Negative numbers represent values less than zero and are integral to many arithmetic operations. Mastery of negative numbers includes understanding how subtraction and addition rules apply when dealing with them, such as converting a subtraction of a negative into an addition process. This concept is essential for accurate computation in a wide range of mathematical problems.

Subtraction of Fractions

Subtracting fractions generally requires a common denominator so that the numerators can be directly compared and subtracted. When fractions share the same denominator, the operation simplifies to subtracting the top numbers and retaining the original denominator. This concept is crucial for correct arithmetic with fractions in more complex mathematical scenarios.

Mixed Numbers

Mixed numbers consist of an integer and a fractional part, which can complicate arithmetic operations like subtraction. A common approach is to convert mixed numbers into improper fractions to streamline the calculation process. Understanding how to perform operations on mixed numbers is important for dealing with real-world measurements and more advanced problems involving fractions.

Transcript

Please give Ace some feedback