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Chapter 5: Problem 89

Evaluate. $$ 1000(1.53) $$

Short Answer

Expert verified
1530

Step by step solution

01

Identify the Expression

The given expression is \(1000 \times 1.53\).
02

Perform the Multiplication

Multiply 1000 by 1.53. \[ 1000 \times 1.53 = 1530 \]

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Key Concepts

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

evaluate
In mathematics, to **evaluate** means to find the value of a mathematical expression. This involves carrying out various operations like addition, subtraction, multiplication, or division on the provided numbers and variables. For instance, in our example, the task is to evaluate the expression \(1000 \times 1.53\). Evaluating it means performing the multiplication to determine the result. It's all about finding what the expression equals.
expressions
Mathematical expressions consist of numbers, variables, and arithmetic operations. An **expression** can be as simple as a single number or it can combine several elements with operations like addition or multiplication. In the exercise, the expression is \(1000 \times 1.53\). When we look at this expression, we see that it combines the numbers 1000 and 1.53 using the multiplication operation. Understanding how to interpret and manipulate expressions is key to solving math problems.
arithmetic operations
Arithmetic operations involve basic math actions: addition, subtraction, multiplication, and division. Each has its own symbols and rules for use. The exercise involves **multiplication**, one of the primary arithmetic operations. Here's how multiplication generally works:
  • To multiply 1000 by 1.53, align the numbers by their decimal places in a vertical format, but since one number is 1000 (which doesn't have a decimal part), you can think of it as placing 1000 below 1.53.
  • Proceed to multiply as though both numbers are whole numbers: 1000 times 153 equals 153000.
  • Finally, adjust the decimal point in the product based on the decimal places in the original numbers. Since 1.53 has two digits after the decimal, place the decimal two places from the right in the product (153000 becomes 1530).
This method ensures that we correctly evaluate the expression and get an accurate result. The calculated value is 1530.

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Most popular questions from this chapter

The special product $$ (x+y)(x-y)=x^{2}-y^{2} $$ $$ \text { can be used to perform some multiplication problems. Here are two examples.} $$ $$ \begin{aligned} 51 \times 49 &=(50+1)(50-1) \\ &=50^{2}-1^{2} \\ &=2500-1^{2} \\ &=2499 \end{aligned} \quad | \begin{aligned} 102 \times 98 &=(100+2)(100-2) \\ &=100^{2}-2^{2} \\ &=10,000-4 \\ &=9996 \end{aligned} $$ Once these patterns are recognized, multiplications of this type can be done mentally. Use this method to calculate each product mentally. $$ 103 \times 97 $$

Perform each indicated operation. Subtract the sum of \(9 t^{3}-3 t+8\) and \(t^{2}-8 t+4\) from the sum of \(12 t+8\) and \(t^{2}-10 t+3\)

If it costs \(\$ 15\) to rent a chain saw, plus \(\$ 2\) per day, the binomial \(2 x+15\) gives the cost to rent the chain saw for \(x\) days. Evaluate this polynomial for \(x=6 .\) Use the result to fill in the blanks: If the saw is rented for ___\(-\) days, the cost is ___.

Find each product. \(\left(x^{2}-2\right)\left(3 x^{2}+x+4\right)\)

Evaluate. $$ 10,000(36.94) $$
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