Buzz
To multiply a decimal by a natural number, follow these steps:
Step 1: Set up the calculation, aligning digits is optional.
Step 2: Perform the multiplication of the decimal and natural number similar to multiplying two natural numbers conventionally.
Step 3: Count the digits in the decimal part of the decimal number, then use the decimal point to separate the corresponding digits in the product from right to left.
c) What is 0.126 multiplied by 2?
Solution
a) What is the product of 4.3 and 6?
Applying the rule of multiplying a decimal number by a natural number, we have:
Step 1: Perform the multiplication (no need to align)
4.3
multiplied by
6
"
Step 2: Multiply as you would with two natural numbers
4.3
multiplied by
6
"
258
(3 times 6 equals 18, write 8, carry 1
4 times 6 equals 24, plus 1, equals 25
The result is 258)
Step 3 : Count the digits in the decimal part of 4.3 => there is 1 digit => split the product into 25.8
Therefore, the correct answer to this calculation is: 4.3 x 6 = 25.8.
b) What is 1.23 multiplied by 5?
For this calculation, you perform it just like the steps for multiplying a decimal number by a natural number
above, specifically:
1.23
x
5
"-
6.15
=> Since the decimal part of the decimal number 1.23 has two digits, we use a comma to split the product into two corresponding digits.
c) What is 0.126 multiplied by 2?
Similar to how we set up and calculate like questions a) and b), we have:
0.126
x
2
"--
0.252
=> Since the decimal part of the decimal number 0.126 has three digits, we use a comma to split the product into three corresponding digits.
Application Exercises Multiplying Decimal Numbers by Natural Numbers
Apply the rule of multiplying a decimal number by a natural number and the detailed solution methods of the above calculations to solve the following exercises:
1. Set up and compute
a) Calculate 5.6 multiplied by 8
b) Find the product of 0.17 and 9
c) Determine the result of 9.813 multiplied by 6
d) Compute 2.3611 multiplied by 4
2. A rectangle has a length of 4.7 cm and a width of 3 cm. Calculate the area of the rectangle.
The above article has provided comprehensive theory and detailed instructions for solving some arithmetic operations related to multiplying a decimal number by a natural number. Readers can refer to and apply them to complete assigned math exercises on this topic. Additionally, you can also learn about multiplying decimal numbers by decimal numbers, multiplying a decimal number by 10, 100, 1000... in our upcoming articles.
Furthermore, Solving exercises on page 68 of the Grade 5 Mathematics textbook is an important lesson in the Grade 5 Math curriculum that students need to pay special attention to.
In addition to the content learned, students can prepare and study the solutions for exercises on page 68 of the Grade 5 Mathematics textbook to master the knowledge in the Grade 5 Math curriculum.
