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Chapter 1: Problem 110

Write a numerical expression for each phrase, and simplify the expression. 9 less than -13

Short Answer

Expert verified
-38.7

Step by step solution

01

Identify the key components

First, identify the key components of the phrase:- 'Product of 4.2 and -8.5'- 'Three subtracted' from the product
02

Write the expression for the product

The product of 4.2 and -8.5 is written as:\(4.2 \times -8.5\)
03

Calculate the product

Multiply 4.2 by -8.5:\(4.2 \times -8.5 = -35.7\)
04

Write the complete expression

Combine the result with the subtraction:\(-35.7 - 3\)
05

Simplify the expression

Subtract 3 from -35.7:\(-35.7 - 3 = -38.7\)

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Key Concepts

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

numerical expression
A numerical expression is a mathematical phrase that includes numbers and operations. It's like a sentence made up of numbers and symbols instead of words.
For example, in the phrase 'Three subtracted from the product of 4.2 and -8.5,' the numerical expression would be: \( (4.2 \times -8.5) - 3 \).
Each part of the phrase corresponds to an arithmetic operation:
  • 'Product of 4.2 and -8.5': multiplication
  • 'Three subtracted from': subtraction

Writing numerical expressions accurately requires identifying the key components and translating them into operations.
product
The term 'product' refers to the result of multiplying two or more numbers.
In the given problem, the phrase 'product of 4.2 and -8.5' means we multiply these two numbers together: \(4.2 \times -8.5\).
Multiplying results in finding the product, which in this case is \(-35.7\).
This is a fundamental concept in math and is essential for solving many types of problems efficiently.
subtraction
Subtraction is one of the basic arithmetic operations. It involves taking away a number from another.
In our problem, the phrase 'Three subtracted from the product of 4.2 and -8.5' tells us to subtract 3 from \(-35.7\), the product we found earlier.
The subtraction is represented as: \(-35.7 - 3\) and this operation gives us \(-38.7\).
The key here is the correct order: always subtract from the result of the previous operations.
multiplication
Multiplication is another basic arithmetic operation. It involves finding the total of one number taken a specific number of times.
In this problem, when we see 'product of 4.2 and -8.5,' we know we need to multiply these two numbers.
Multiplication can often involve both positive and negative numbers. The product of a positive number and a negative number is always negative.
For instance: \(4.2 \times -8.5 = -35.7\).
Understanding multiplication and how to handle negative numbers is crucial for simplifying expressions.

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Most popular questions from this chapter

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