/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 23 Perform each division using a ca... [FREE SOLUTION] | 91影视

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Chapter 6: Problem 23

Perform each division using a calculator. \(4 \div 3\) and round to 2 decimal places.

Short Answer

Expert verified
The result of \(4 \div 3\) rounded to two decimal places is 1.33.

Step by step solution

01

Set Up the Division

Express the division problem clearly in your calculator. In this case, you need to perform the operation \(4 \div 3\).
02

Perform the Division

Enter the numbers into your calculator as shown: 4 divided by 3. Press the division button or key on your calculator followed by 3, then press the equals sign. The result before rounding should be approximately 1.3333.
03

Round to Two Decimal Places

To round the result to two decimal places, look at the third decimal place. If it is 5 or higher, we round up the second decimal place. In this case, the third decimal is 3, so we leave the second decimal place as it is. Rounding 1.3333 gives you 1.33.
04

Verify the Answer

Double-check your result by ensuring you typed the numbers correctly and rounded properly to two decimal places. The final rounded answer should be 1.33.

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Key Concepts

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

Rounding Decimals
Rounding decimals is a crucial part of many mathematical operations, ensuring that we provide concise and understandable answers. When rounding a decimal like 1.3333 to two decimal places, the main rule is to examine the digit at the third decimal place.
  • If this digit is 5 or greater, round up the second decimal place by one unit.
  • If it's less than 5, keep the second decimal place the same.

In the example where we had 1.3333, the third digit is 3, which means the number stays the same at 1.33.
Practice makes perfect, so try using different numbers to master rounding.
Calculator Usage
Using a calculator for division calculations can simplify the process, especially when dealing with non-integers. To divide safely and effectively, clear any previous entries before beginning. For instance, in calculating \(4 \div 3\), type the number 4, press the division button (commonly a "/" or "梅" symbol), enter the number 3, then press the equals button to get the result of 1.3333.
Ensure to carefully input each number, as a small mistake can lead to incorrect results. Remember to check the calculator settings to make sure it's displaying enough decimal places so you can round correctly.
Using these steps, accurate division and rounding will become second nature.
Decimal Division
Decimal division can initially seem complicated, but it becomes easier with practice. Understanding the process requires setting up the division correctly and interpreting the quotient.
  • First, input the correct numbers into your calculator as shown in the problem: 4 divided by 3.
  • Observe the long string of decimals that may appear, such as 1.3333 in this case.
This is where rounding becomes essential.
To truly grasp decimal division, attempt practice problems and verify your process. Over time, you'll develop the skills to tackle these problems with confidence.

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Most popular questions from this chapter

Round each decimal to the specified position. 817.42 to the nearest ten.

Convert each decimal to a proper fraction or a mixed number. 0.05

Perform each operation. $$ \text { Convert } 0.5 \frac{9}{16} \text { to a decimal. } $$

Convert each fraction to a decimal. $$ \frac{43}{100} $$

Perform each operation. $$ \frac{3}{5} \cdot\left(\frac{1}{2}+1.75\right) $$
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