Problem 29 Add the numbers with the same si... [FREE SOLUTION]

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Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 2: Problem 29

Add the numbers with the same sign. $$44+45$$

Short Answer

Expert verified

Step by step solution

Identify the signs of the numbers

Both numbers, 44 and 45, are positive.

Perform the addition

Since both numbers have the same sign, simply add them together. $44 + 45 = 89$

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Addition

Addition is one of the basic operations in arithmetic. It involves combining two or more quantities to find their total. When we perform addition on numbers, we are essentially joining them together to make a bigger number.

To add numbers, you simply place them in a line and sum them up. In our example, we started with 44 and 45. Both numbers are positive, so we added them directly:

44 + 45 = 89

Notice how you can break down addition into simpler parts, especially when dealing with larger numbers. For instance, 40 + 40 = 80, and then 4 + 5 = 9. Combining these results, we still get:

80 + 9 = 89

This method can make mental math easier.

Integer Operations

Understanding integer operations is key to mastering arithmetic. Integers are whole numbers that can be positive, negative, or zero. When adding integers, it's important to consider their signs.

If the integers have the same sign:

Add the absolute values (ignore the signs for now)
Keep the common sign

For example, adding two positive numbers like 44 and 45 involves adding their absolute values:

44 + 45 = 89

If the integers have different signs:

Subtract the smaller absolute value from the larger absolute value
Assign the sign of the integer with the larger absolute value to the result

For example, if we had -44 and 45:

45 - 44 = 1

Since 45 has the larger absolute value and it is positive, the result is 1.

Positive Numbers

Positive numbers are numbers greater than zero. They are often the simplest to work with in arithmetic operations like addition. Positive numbers can be thought of as the quantities that build up as you add things together.

Here are some important points about positive numbers:

They always have a '+' sign in front, although it's usually not written.
When adding positive numbers, the result is always positive.

For example, in our exercise, we added two positive numbers, 44 and 45:

44 + 45 = 89

It's useful to familiarize yourself with positive numbers because they form the foundation for understanding more complex mathematics. Positive numbers line up to the right of zero on the number line, making them easily countable and relatable to everyday quantities.

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91影视

Add the numbers with the same sign. $$44+45$$

Short Answer

Step by step solution

Identify the signs of the numbers

Perform the addition

Key Concepts

Addition

Integer Operations

Positive Numbers

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