Decimals

TL;DR

This content explains the basics of decimal numbers, including reading, writing, rounding, adding, subtracting, multiplying, dividing, converting to fractions, and converting fractions to decimals.

Transcript

as with fractions decimals are a way of expressing parts of a whole thing decimals are used extensively in business applications in this course you'll learn to read write and work problems involving all types of decimal numbers by definition decimal numbers or decimals are amounts less than a whole or less than one they are preceded by a dot known ... Read More

Key Insights

• 👨‍💼 Decimal numbers are extensively used in business applications.
• 🛝 Rounding decimals involves determining the place to round and adjusting the digit based on the digit to the right.
• 😥 Adding and subtracting decimals requires aligning the decimal points and performing the operation as with whole numbers.
• 😥 Multiplying decimals involves disregarding the decimal points, counting the total decimal places, and inserting the decimal point in the product.
• ➗ Dividing decimals requires converting them to whole numbers before division.
• 🥇 Decimals can be converted to fractions by using the place value and reducing if necessary.
• 🗂️ Fractions can be converted to decimals by dividing the numerator by the denominator.

Questions & Answers

Q: How are decimal numbers read and written?

Decimal numbers are read or written by treating the decimal part as a whole number and naming the place value of the last digit on the right.

Q: What is the significance of the zero in decimal numbers?

The zero is used to ensure that the decimal point is not missed. It separates the whole numbers from the decimal in mixed decimals.

Q: How are decimal numbers rounded?

To round decimals, determine the place to round, increase the digit being rounded by one if the digit to the right is five or more, and delete all digits to the right if the digit to the right is four or less.

Q: How are decimal numbers added and subtracted?

Adding and subtracting decimals follows the same procedure as whole numbers. The decimal points should be lined up vertically, and zeros can be added to ensure all numbers have the same number of places.

Q: What are the steps for multiplying decimals?

When multiplying decimals, treat the numbers as whole numbers disregarding the decimal points, total the number of decimal places in the two factors, insert the decimal point in the product, and add zeros to the left if necessary.

Q: How can decimals be divided?

Decimals in the divisor need to be converted to whole numbers. Place the decimal point in the quotient above the decimal point in the dividend and divide the numbers. The final answer should be rounded to the nearest cent.

Q: How can decimals be converted to fractions?

To convert decimals to fractions, write the numerator as the decimal number without the decimal point, write the denominator as 1 followed by zeros equal to the number of decimal places, and reduce the fraction to lowest terms if possible.

Q: How can fractions be converted to decimals?

To convert fractions to decimals, divide the numerator by the denominator and add a decimal point and zeros to the numerator as needed. The result can be rounded to the desired decimal place.

Summary & Key Takeaways

• Decimal numbers are used in business applications and represent amounts less than a whole.

• Decimals can be written in conjunction with whole numbers, known as mixed decimals.

• Place value in decimals decreases by a factor of 10 moving from left to right from the decimal point.