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Chapter 8: Problem 57

Use a calculator to approximate an answer rounded to the nearest hundredth. \(23 / 4\)

Short Answer

Expert verified
5.75

Step by step solution

01

Divide using a calculator

Using a calculator, input the numbers for the division: 23 divided by 4. This means you divide 23 by 4 to get the quotient.
02

Record the calculator result

After you press the equal sign on the calculator, you will get a decimal number. Make a note of this number, which is the result of the division.
03

Round to the nearest hundredth

Take the calculator output and round it to the nearest hundredth. The hundredth place is the second digit after the decimal point. Look at the third digit after the decimal to decide whether to round up or stay the same.

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Key Concepts

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

Calculator Use
Using a calculator for basic calculations like division makes the process faster and minimizes errors. When you're dividing numbers such as 23 by 4 in the example given, begin by turning on the calculator and inputting the numbers. Start by pressing the '2', followed by '3', then the division symbol '/', and finally '4'. Complete the operation by pressing the '=' key, and the calculator will display the result. This result is the quotient, the answer to your division problem. Calculators are efficient for division as they handle all the decimal points and large numbers for you, ensuring you get precise results quickly.
  • Input each digit carefully.
  • Use the correct operation symbol.
  • Verify the result on the display.
Rounding Decimals
Rounding decimals is an important skill for simplifying calculations and making numbers easier to use. After performing the division and obtaining a decimal number, focus on rounding it to the nearest hundredth. The hundredth place is the second digit after the decimal point. In our example of dividing 23 by 4, suppose the calculator displays 5.75. To round correctly, examine the third digit. If it is 5 or higher, the second digit will need to be increased by 1.
Remember the steps:
  • Identify the hundredth place (second digit after the decimal).
  • Look at the third digit (thousandth place).
  • If the third digit is 5 or more, round up the hundredth place.
  • If it is less than 5, keep the hundredth place as is.
These strategies will help you get an answer that is simple and useful without needing high precision.
Quotient
The term "quotient" refers to the result of a division problem. In mathematical terms, if you divide one number by another, the quotient is the result you obtain. For example, dividing 23 by 4 yields a quotient of approximately 5.75. This means if you divide 23 into 4 equal parts, each part will be 5.75. Understanding quotients is essential in mathematics since they represent how one quantity is distributed into another.
Key points about quotients:
  • The dividend is the number being divided (e.g., 23).
  • The divisor is the number you divide by (e.g., 4).
  • The quotient is the result of the division.
Having a clear understanding of these elements not only helps in basic math problems but also in advanced calculations.

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Most popular questions from this chapter

Simplify. (Assume all radicands containing variable expressions are positive.) \(32 a 3---\sqrt{4}-162 a 3----\sqrt{4}+52 a 3---\sqrt{4}\)

Simplify. $$128 x 3----\sqrt{3}-2 x \cdot 54--\sqrt{3}+32 x 3--\sqrt{3}$$

Perform the operations and simplify. Leave answers in exponential form. \((y 3 / 4) 4 / 5\)

Use the distance formula to calculate the distance between the given two points. $$ (-9,7) \text { and }(-8,4) $$

Use the distance formula to calculate the distance between the given two points. $$ (-3,-4) \text { and }(3,-6) $$
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