Decimals - Review | Mathematics Grade 5 | Periwinkle

Summary

This educational video revises key concepts about decimals, including decimal numbers, mixed decimals, place values, and decimal places. It explains how decimal numbers can be written as fractions and how fractions can be converted into decimal numbers. The video also covers the difference between like and unlike decimals, and demonstrates how to compare and order decimals. Using simple examples and clear explanations, the video helps kids grasp these foundational math concepts, making it easier for them to work with decimals in future lessons.

Takeaways

• 😀 Decimal fractions are fractions with denominators like 10, 100, 1000, etc., and can be represented as decimal numbers.
• 😀 A mixed decimal contains both a whole number (integral part) and a decimal part, such as 93.56.
• 😀 Decimal places refer to the digits after the decimal point. For example, in 7.58, there are two decimal places.
• 😀 The place value system extends beyond the ones place to include tenths, hundredths, thousandths, etc.
• 😀 The expanded form of a decimal number shows the sum of each digit's value. Example: 14.86 = 1000 + 500 + 10 + 4 + 0.8 + 0.06 + 0.002.
• 😀 When writing decimals as fractions, the decimal point goes in the numerator, and the denominator has as many zeros as there are decimal places.
• 😀 To convert fractions into decimals, the numerator's digits are written with a decimal point matching the denominator's zeros.
• 😀 Equivalent decimals are decimals whose values remain the same even when zeros are added after the decimal digits.
• 😀 Like decimals have the same number of decimal places, while unlike decimals do not.
• 😀 To compare and order decimals, first convert them into like decimals, then compare the integral and decimal parts to arrange them in order.
• 😀 Understanding these concepts of decimals will help in mastering more advanced mathematical ideas in the future.

Q & A

What are decimal fractions?

Decimal fractions are fractions with denominators such as 10, 100, 1,000, and so on, which can be expressed as decimal numbers.

How is the fraction 3/10 written in decimal form?

The fraction 3/10 is written and read as 0.3.

What is a mixed decimal?

A mixed decimal is a decimal number that has a whole number part, known as the integral part, and a decimal part after the decimal point.

What are decimal places?

Decimal places are the positions of digits after the decimal point in a decimal number.

How many decimal places are in the number 7.58?

The number 7.58 has two decimal places.

What does the place value system show for decimal numbers?

The place value system extends to the right of the ones place for decimal numbers, including tenths, hundredths, thousandths, and so on.

How do you write a decimal number in expanded form?

To write a decimal in expanded form, express the number as the sum of the value of each digit according to its place value.

How is the decimal 1500.142862 written in expanded form according to the script?

It is written as 1000 + 500 + 10 + 4 + 0.8 + 0.06 + 0.002.

How do you convert a decimal number to a fraction?

Write the digits without the decimal point as the numerator and use a denominator of 1 followed by as many zeros as there are decimal places.

What are equivalent decimals?

Equivalent decimals are decimals whose values remain unchanged even when zeros are added after the last decimal digit.

What are like and unlike decimals?

Like decimals have the same number of decimal places, while unlike decimals have different numbers of decimal places.

How do you compare and order decimal numbers?

Convert unlike decimals to like decimals, then compare the integral parts first and the decimal parts next to determine their order.