NZ Level 5 Divide numbers with hundredths by a single digit number
Lesson

## Just an extra step

When we divide a decimal that has hundredths, it's similar to what we do when we divide a number with tenths. We just need to perform some extra steps, as we have an extra place in our number.

When we work through our number, it helps to think of what our problem might represent. In our first video, the first example looks at sharing $\$10.3510.35 between $5$5 buckets. Then we move on to a decimal number. In our second example, you can see just how important the zero placeholder is, and what happens if we forget to put it in!

## Same problem, using short division

This time, we'll use the short division approach to solving $55.05$55.05 divided by $5$5, to see how we can use what we have seen so far. This means we can work through problems a little more quickly, once we have the hang of it. Once again, you can see how the $0$0-placeholder is very important, and this video highlights how leaving it out could change your answer.

## When we need to rename

In our final video, we work through the same example, but the time has changed. We only have $54.05$54.05 to share among $5$5, so we have to rename our $4$4 units to tenths. What's really important here is the zero placeholder. Leaving it out changes the answer, so looking at how we make sure we include it is the focus here.

With short division, we also look at how to write $4$4 units as $40$40 tenths in our example.

#### Examples

##### Question 1

We want to find $4.84\div4$4.84÷​4. We are going to do this by first partitioning the number.

1. Break up $4.84$4.84 into a sum of units, tenths and hundredths. Use whole numbers or decimals.

2. To find $4.84\div4$4.84÷​4 we can divide each of $4$4, $0.8$0.8, and $0.04$0.04 by $4$4 and add the results together.

Answer the following. Give each answer as a whole number or a decimal.

$4\div4=\editable{}$4÷​4=

$0.8\div4=\editable{}$0.8÷​4=

$0.04\div4=\editable{}$0.04÷​4=

3. Hence, what is $4.84\div4$4.84÷​4? Write your answer as a decimal.

##### QUESTION 2

We want to find $9.21\div3$9.21÷​3

1. Choose the most reasonable estimate for $9.21\div3$9.21÷​3

$30$30

A

$3$3

B

$0.03$0.03

C

$0.3$0.3

D

$30$30

A

$3$3

B

$0.03$0.03

C

$0.3$0.3

D
2. Complete the short division to find $9.21\div3$9.21÷​3

 $\editable{}$ $.$. $\editable{}$ $\editable{}$ $3$3 $9$9 $.$. $2$2 $\editable{}$ $1$1

##### QUESTION 3

We want to find $26.95\div5$26.95÷​5

1. Choose the most reasonable estimate for $26.95\div5$26.95÷​5

$0.5$0.5

A

$5$5

B

$0.05$0.05

C

$50$50

D

$0.5$0.5

A

$5$5

B

$0.05$0.05

C

$50$50

D
2. Complete the short division to find $26.95\div5$26.95÷​5

 $\editable{}$ $.$. $\editable{}$ $\editable{}$ $5$5 $2$2 $6$6 $.$. $\editable{}$ $9$9 $\editable{}$ $5$5

### Outcomes

#### NA5-3

Understand operations on fractions, decimals, percentages, and integers