*Contributor: Laquita Collins. Lesson ID: 14187*

Explore decimal multiplication and learn to confidently calculate total costs and measurements with precision!

categories

subject

Math

learning style

Kinesthetic, Visual

personality style

Lion, Beaver

Grade Level

Middle School (6-8)

Lesson Type

Quick Query

- Ready for a chuckle?

Here's a math joke to lighten the mood!

Decimals might be tiny, but they pack a punch! When multiplied correctly, they can make a huge impact, especially in money matters and measurements.

Jump in and explore how mastering decimal multiplication can help you tackle real-world problems with confidence and accuracy.

- Have you ever gone shopping and needed to calculate the total cost of several items?

- Or maybe you've gone for a walk and wondered how far you traveled after a few laps?

Knowing how to multiply decimal numbers can help you solve these kinds of everyday problems!

- What are decimals?

Decimals represent parts of a whole.

Tenths are one part out of ten, such as 0.1.

- How do you multiply two decimals up to the tenths?

Break it down with this example: 2.4 x 3.6

- Multiply the numbers as whole numbers. Treat 2.4 as 24 and 3.6 as 36.

Example: 24 x 36 = 864

- Look at the original numbers and count the decimal places.

2.4 has 1 decimal place.

3.6 has 1 decimal place.

Total: 1 + 1 = 2 decimal places

- Place the decimal in the answer.

Since the total number of decimal places is 2, move the decimal point 2 places to the left in the answer.

Start with 864. Move the decimal point 2 spaces to the left: 8.64.

Final answer: 2.4 x 3.6 = 8.64

Now, look at some example problems to deepen your understanding. Grab some paper and a pencil to show your work for each.

**Money Example One**

A shirt costs $12.50, and you want to buy 2.3 shirts.

- What's the total cost?

Ignore the decimal points for now and treat the numbers like whole numbers.

125 x 23 = 2875

Now, count how many decimal places were in the original numbers (2 total).

Move the decimal point 2 places to the left.

Final total: $28.75

**Money Example Two**

A concert ticket costs $13.70, and you're buying 3.1 tickets for you and your friends.

- How much will you spend?

Great work!

Now, try some measurement problems using the same steps.

**Measurement Example One**

Each window in your classroom is 4.8 feet wide. You need to line up 1.5 windows side by side.

- What is the total width?

Treat the numbers as whole numbers.

48 x 15 = 720

Be sure to place the decimal in the right spot.

That's right! The total width is 7.2 feet.

Try this next problem!

**Measurement Example Two**

A bike ride around the park is 5.4 miles.

- If you complete 7.3 laps, how far have you gone?

Multiply the laps and determine where to place the decimal in the final answer.

Great job!

Multiplying decimals is a helpful skill for everyday situations like shopping and measuring.

Now that you've practiced multiplying decimals to the tenth place using money and measurements, head to the *Got It?* section to tackle some exciting new problems!