## What you need to know

Things to remember:

• Multiplication be used in the regular way.
• We can split the decimal up and multiply individually, adding the pieces back together at the end.

What is $5\times2.39$?

We can do this in two ways.

Way 1: Multiply each place value individual.

Step 1: Find the value of each number.

$$2 \rightarrow Units \rightarrow 2\times1=2$$

$$3 \rightarrow Tenths \rightarrow 3\times0.1=0.3$$

$$9 \rightarrow Hundredths \rightarrow 9\times0.01=0.09$$

Step 2: Multiply the value represents by each number by the whole number.

$$5\times2=10$$

$$5\times0.3=1.5$$

$$5\times0.09=0.45$$

Way 2: Column Multiplication

$$5\times2.39=11.95$$

So, it doesn’t really matter which way we do this, we’ll get the same answer either way!

## Example Questions

#### Question 1: Use Way 1 to find the value of $7\times4.27$

Step 1: Find the value of each number.

$$4 \rightarrow Units \rightarrow 4\times1=4$$

$$2 \rightarrow Tenths \rightarrow 2\times0.1=0.2$$

$$7 \rightarrow Hundredths \rightarrow 7\times0.01=0.07$$

Step 2: Multiply the value represents by each number by the whole number.

$$7\times4=28$$

$$7\times0.2=1.4$$

$$7\times0.07=0.49$$

$$7\times4.27=29.89$$

#### Question 2: Use column multiplication to find the value of $8\times2.36$

$$8\times2.36=18.88$$