# Patterns with tenths and hundredths (add/sub)

Lesson

Let's bring together everything we've seen so far with patterns - whether working with decimals in the tenths place, decimals in the hundredths place, or fractions. Each time, we've seen that we need to:

1. Find the pattern - which will either be given, or which will need to be found by looking at the list of numbers.
2. Continue the pattern - using the pattern that you found.

Watch the video below to see some examples!

Now that you've seen how to work with patterns using decimals and fractions, have a go at some questions!

#### Worked Examples

##### Example 1

Complete the pattern.

1.  $\frac{8}{10}$810​ $\frac{7}{10}$710​ $\frac{6}{10}$610​ $\editable{}$ $\editable{}$ $\editable{}$
2. What is the pattern?

The numbers are decreasing by $10$10

A

The numbers are decreasing by $0.1$0.1

B

The numbers are decreasing by $0.01$0.01

C

The numbers are decreasing by $1$1

D

The numbers are decreasing by $10$10

A

The numbers are decreasing by $0.1$0.1

B

The numbers are decreasing by $0.01$0.01

C

The numbers are decreasing by $1$1

D

##### Example 2

Complete the pattern.

1.  $0.3$0.3 $1.0$1.0 $1.7$1.7 $\editable{}$ $\editable{}$ $\editable{}$
2. What is the pattern?

The numbers are increasing by $\frac{7}{100}$7100

A

The numbers are increasing by $\frac{7}{10}$710

B

The numbers are increasing by $70$70

C

The numbers are increasing by $7$7

D

The numbers are increasing by $\frac{7}{100}$7100

A

The numbers are increasing by $\frac{7}{10}$710

B

The numbers are increasing by $70$70

C

The numbers are increasing by $7$7

D

##### Example 3

Complete the pattern.

1.  $0.02$0.02 $0.03$0.03 $0.04$0.04 $\editable{}$ $\editable{}$ $\editable{}$
2. What is the pattern?

The numbers are increasing by $\frac{1}{10}$110

A

The numbers are increasing by $\frac{1}{100}$1100

B

The numbers are increasing by $1$1

C

The numbers are increasing by $10$10

D

The numbers are increasing by $\frac{1}{10}$110

A

The numbers are increasing by $\frac{1}{100}$1100

B

The numbers are increasing by $1$1

C

The numbers are increasing by $10$10

D

### Outcomes

#### NA4-2

Understand addition and subtraction of fractions, decimals, and integers

#### NA4-9

Use graphs, tables, and rules to describe linear relationships found in number and spatial patterns