Examples with solutions for Multiplication of Decimal Fractions: Finding the decimal point

Exercise #1

Look at the following exercise and determine the correct place of the decimal point:

3.5×2.4=840 3.5\times2.4=840

Video Solution

Step-by-Step Solution

In the number -3.5, there is one digit after the decimal point: 5.

In the number 2.4, there is one digit after the decimal point: 4.

In other words, we have two digits after the decimal point.

Therefore we will move the decimal point two places to the left to get our answer: 8.40.

Answer

8.40 \text{8}.40

Exercise #2

Look at the following exercise and work out the correct place of the decimal point in the answer:

0.3×2.15=0645 0.3\times2.15=0645

Video Solution

Step-by-Step Solution

In the number -0.3, there is one digit after the decimal point: 3.

In the number 2.15, there are two digits after the decimal point: 15.

Therefore, we have three digits after the decimal point.

To find the answer, we will count three decimal places to the left, which gives us -0.645.

Answer

0.645 0.645

Exercise #3

Find the correct place of the decimal point:

1.35×2.47=33345 1.35\times2.47=33345

Video Solution

Answer

3.3345 3.3345

Exercise #4

Given the following exercise, find the correct place of the decimal point:

2.5×0.13=0325 2.5\times0.13=0325

Video Solution

Answer

0.325 \text{0}.325

Exercise #5

Given the following exercise, find the correct place of the decimal point:

3.751×0.5=18755 3.751\times0.5=18755

Video Solution

Answer

1.8755 1.8755

Exercise #6

Given the following exercise, find the correct place of the decimal point:

6.13×2.05=125665 6.13\times2.05=125665

Video Solution

Answer

12.5665 12.5665

Exercise #7

Given the following exercise, find the correct place of the decimal point:

0.05×0.8=004 0.05\times0.8=004

Video Solution

Answer

0.040 0.040

Exercise #8

Given the following exercise, find the correct place of the decimal point:

0.2×0.55=011 0.2\times0.55=011

Video Solution

Answer

0.110 0.110