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India
Class VI

Adding tenths and hundredths (fractions and decimals)

Lesson

Equivalence

Take a look back at equivalence for decimals and fractions. When adding tenths and hundredths it is much easier if they are in the same format.

For example

$0.2+\frac{6}{10}$0.2+610 can be changed to $0.2+0.6$0.2+0.6 or $\frac{2}{10}+\frac{6}{10}$210+610 before solving.

This question will help you to practice changing decimals and fractions.

Question 1

Express $\frac{5}{10}$510 as a decimal.

Adding with fractions

Watch this video to learn more about adding tenths and hundredths when they are fractions.

When adding tenths and hundredths as fractions:

  1. Make the denominators the same
  2. Add the numerators together
  3. Express as a fraction

Try this practice question for adding tenths and hundredths as fractions.

Question 2

Write $\frac{6}{10}+\frac{3}{100}$610+3100 as a fraction out of $100$100.

Adding with decimals

Watch this video to learn more about adding tenths and hundredths when they are decimals.

When adding tenths and hundredths when they are decimals, first pick a strategy (number line or place value)

  1. Number line:
    • Add the numbers along the line in easy parts
  2. Place value:
    • Line the numbers up in their place value columns
    • Add the numbers starting at the hundredths

Try this practice question for adding tenths and hundredths as decimals.

Question 3

Evaluate $0.8+0.13$0.8+0.13

Remember!

When adding tenths and hundredths make them the same format using equivalence

When adding fractions, make the denominators the same, then add the numerators

When adding decimals, use place value to add in columns or break the numbers into easy parts to add on a number line

 

Outcomes

6.NS.F.1

Revision of what a fraction is, fraction as a part of whole, Representation of fractions (pictorially and on number line), fraction as a division, proper, improper & mixed fractions, equivalent fractions, comparison of fractions, addition and subtraction of fractions

6.NS.F.2

Review of the idea of a decimal fraction, place value in the context of decimal fraction, inter conversion of fractions and decimal fractions (avoid recurring decimals at this stage)

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