🔟 Decimals

What your child will learn

• Students will be able to represent tenths and hundredths as fractions and as decimals.
• Students will be able to read and write decimal numbers up to hundredths, including numbers with zero in the tenths or hundredths place.
• Students will be able to identify the place value of digits in decimal numbers up to hundredths.
• Students will be able to compare two decimal numbers up to hundredths using place value and symbols >, <, =.
• Students will be able to add and subtract decimals up to hundredths, with the same number of decimal places, using the standard algorithm.
• Students will be able to solve simple word problems involving money (rupees and paise) and length (metres and centimetres) using decimal addition and subtraction.

Lessons in this unit

1. Tenths: Introduce the concept of a tenth as one part out of ten equal parts. Represent tenths as fractions (1/10) and decimals (0.1). Use grids and number lines.
2. Hundredths: Extend the concept to hundredths as one part out of one hundred equal parts. Represent hundredths as fractions (1/100) and decimals (0.01). Use grids and money (paise).
3. Decimal place value: Understand the place value of digits in decimal numbers up to hundredths. Use a place value chart with ones, tenths, and hundredths columns.
4. Comparing decimals: Compare two decimal numbers up to hundredths using place value. Use symbols >, <, and =.
5. Adding decimals: Add decimals up to hundredths with the same number of decimal places. Use the standard algorithm, aligning decimal points.
6. Subtracting decimals: Subtract decimals up to hundredths with the same number of decimal places. Use the standard algorithm, aligning decimal points.

Key words

decimal

A way to write a fraction using a dot (.) to separate the whole part from the part less than one.

decimal point

The dot (.) that separates the whole number part from the fractional part.

tenth

One part out of ten equal parts. Written as 0.1.

hundredth

One part out of one hundred equal parts. Written as 0.01.

place value

The value of a digit based on its position in a number. For decimals, positions are ones, tenths, hundredths.

compare

To decide which number is bigger or smaller.

add

To put together to find the total.

subtract

To take away to find the difference.

Help your child at home

What to watch for

0.3 is the same as 3/100 (three hundredths).

Help: Show a 10x10 grid. Shade 3 out of 10 parts (one row). That is 3/10, which is 0.3. Shading 3 out of 100 parts is 3/100, which is 0.03.

0.25 is the same as 25/10 (twenty-five tenths).

Help: Show a 10x10 grid. Shade 25 squares out of 100. That is 25/100, which is 0.25. 25/10 would be 2.5, which is more than 2 whole grids.

In 3.45, the digit 4 is worth 4 (ones).

Help: Use the place value chart. The 4 is in the tenths place, so it is worth 4 tenths (0.4).

0.45 is bigger than 0.5 because 45 is bigger than 5.

Help: Use a place value chart. 0.5 has 5 tenths. 0.45 has 4 tenths. 5 tenths is more than 4 tenths, so 0.5 > 0.45.

Try this at home

• Shade 3 out of 10 parts, write fraction and decimal
• Shade 25 out of 100 parts, write fraction and decimal
• Identify the place value of each digit in 3.45
• Compare 0.5 and 0.45

Quick questions to ask aloud

1. A square grid has 10 equal columns. 1 full column is shaded. What decimal shows the shaded part? (0.1 / 0.01 / 1.0 / 10)
   Show answer

   The grid is divided into 10 equal parts. One part is shaded. That is one tenth, written as 0.1.
2. A 10 by 10 grid has 100 small squares. 7 small squares are shaded. What decimal shows the shaded part? (0.07 / 0.7 / 7.0 / 70)
   Show answer

   The grid has 100 squares. 7 are shaded. That is 7 hundredths, written as 0.07.
3. In the number 4.56, what is the place value of the digit 5? (Tenths / Hundredths / Ones / Tens)
   Show answer

   Tenths. In 4.56, the 5 is the first digit after the decimal point, so it is in the tenths place.

Parent guide: how to help your child with Class 5 Maths

Frequently asked questions

What will my child learn in "Decimals" (Class 5 Maths)?

Your child will be able to: represent tenths and hundredths as fractions and as decimals.; read and write decimal numbers up to hundredths, including numbers with zero in the tenths or hundredths place.; identify the place value of digits in decimal numbers up to hundredths.; compare two decimal numbers up to hundredths using place value and symbols >, <, =.; add and subtract decimals up to hundredths, with the same number of decimal places, using the standard algorithm.; solve simple word problems involving money (rupees and paise) and length (metres and centimetres) using decimal addition and subtraction..

How does MangoMindz teach "Decimals"?

In 6 short parts (Tenths, Hundredths, Decimal place value, Comparing decimals, Adding decimals, Subtracting decimals). Each part has a picture-based lesson read aloud by Mango Teacher, a quick check, and a quiz built from common mistakes children make, with Mango, a study buddy, for questions.

How long does "Decimals" take?

About 180 minutes in total, spread over 6 parts of 15–25 minutes each.

How can I help my child with "Decimals" at home?

Work through a small example together, such as: Shade 3 out of 10 parts, write fraction and decimal; Shade 25 out of 100 parts, write fraction and decimal. Then ask a quick question aloud: A square grid has 10 equal columns. 1 full column is shaded. What decimal shows the shaded part? (0.1 / 0.01 / 1.0 / 10)

What mistakes do children often make in "Decimals"?

0.3 is the same as 3/100 (three hundredths). Fix: Show a 10x10 grid. Shade 3 out of 10 parts (one row). That is 3/10, which is 0.3. Shading 3 out of 100 parts is 3/100, which is 0.03. 0.25 is the same as 25/10 (twenty-five tenths). Fix: Show a 10x10 grid. Shade 25 squares out of 100. That is 25/100, which is 0.25. 25/10 would be 2.5, which is more than 2 whole grids. In 3.45, the digit 4 is worth 4 (ones). Fix: Use the place value chart. The 4 is in the tenths place, so it is worth 4 tenths (0.4).

Is "Decimals" free on MangoMindz?

Yes. Every lesson part and quiz in "Decimals" is free on MangoMindz, with no ads.