Problem 29 Translate to a mathematical expr... [FREE SOLUTION]

91影视

Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 2: Problem 29

Translate to a mathematical expression. Then simplify. 3 times $-5$

Short Answer

Expert verified

-15

Step by step solution

- Translate the words to a mathematical expression

The phrase '3 times -5' can be written as a multiplication expression: \[3 \times (-5)\]

- Simplify the expression

To simplify, multiply 3 by -5: \[3 \times (-5) = -15\]

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Key Concepts

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

Translating Phrases to Expressions

In this section, we'll turn words into mathematical expressions. Reading a phrase like '3 times -5' means we're looking to multiply. Remember, 'times' often suggests multiplication.
So, '3 times -5' translates to the expression: \[3 \times (-5)\]
When you see phrases like 'sum of,' 'product of,' or 'more than,' they usually point to specific operations. 'Sum of' means addition, 'product of' is multiplication, and 'more than' means addition with a twist. Comprehending these keywords will make translating phrases much easier.

Simplifying Expressions

After translating the phrase to an expression, the next step is to simplify it. Simplifying involves performing the operations in the expression. For the expression \[3 \times (-5)\], we multiply 3 by -5.
This multiplication gives us: \[3 \times (-5) = -15\]
It's that simple! Simplifying expressions often means performing arithmetic operations such as addition, subtraction, multiplication, or division. You might also need to combine like terms or factor expressions. Always follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction), to properly simplify any expression.

Negative Numbers

Negative numbers can be tricky if you're not used to them. Negative numbers are numbers less than zero, shown with a minus sign (-).
When multiplying negative numbers:

If one number is negative and the other is positive, the result is negative.
If both numbers are negative, the result is positive.

For our example, we multiply a positive 3 by a negative -5. According to the rule, a positive number times a negative number gives a negative result:
So, \[3 \times (-5) = -15\]
Learning to work with negative numbers is crucial, as they are common in algebra and higher math. Always keep an eye on the signs when performing operations involving negative numbers.

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91影视

Translate to a mathematical expression. Then simplify. 3 times \(-5\)

Short Answer

Step by step solution

- Translate the words to a mathematical expression

- Simplify the expression

Key Concepts

Translating Phrases to Expressions

Simplifying Expressions

Negative Numbers

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