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To multiply a decimal by a 2-digit number, ignore the decimal and multiply as usual. Then count the decimal places in the original decimal number and place the decimal point in the product, ensuring it matches the original number of decimal places.
In this article, we will discuss this in detail.
Decimal numbers are numbers that are expressed in the base-10 number system, which is the standard system for denoting integer and non-integer numbers. The base-10 system, also known as the decimal system, uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
A decimal number consists of two parts separated by a decimal point:
Step 1: Ignore the Decimal Point Initially
Start by ignoring the decimal point in the decimal number. Treat the number as if it were a whole number. For example, if you are multiplying 4.36 by 12, first multiply 436 by 12.
Step 2: Multiply as Whole Numbers
Multiply the two numbers as if they were both whole numbers. This involves multiplying the first number by each digit of the second number, just as you would in long multiplication.
436
872
5232
Step 3: Count the Decimal Places
Count the number of decimal places in the original decimal number. In our example, 4.36 has two decimal places.
Step 4: Place the Decimal Point
Place the decimal point in the product so that it has the same number of decimal places as the original decimal number. In this case, place the decimal point two places from the right in 5232, which gives us 52.32.
Therefore, 4.36 multiplied by 12 equals 52.32.
Example 1: Multiply 2.3 by 4.6
Solution:
23
138
1058
As, there are two numbers after decimal points in the given problem. Thus, answer is 10.58.
Example 2: Multiply 0.27 by 73
Solution:
27
81
1971
As, there are two numbers after decimal points in the given problem. Thus, answer is 19.71.
Example 3: Multiply 3.1 by 94
Solution:
31
124
2914
As, there is only one number after decimal points in the given problem. Thus, answer is 291.4.
Example 4: Multiply 0.13 by 4.3
Solution:
13
39
599
As, there is are three numbers after decimal points in the given problem. Thus, answer is 291.4
Example 5:Multiply by 53 by 7.8
Solution:
53
424
4134
As, there is only one number after decimal points in the given problem. Thus, answer is 413.4
Problem 1: Multiply 3.25 by 14
Problem 2: Multiply 7.89 by 23
Problem 3: Multiply 2.56 by 18
Problem 4: Multiply 9.12 by 27
Problem 5: Multiply 94.3 by 18
Problem 6: Multiply 6.5 by 15
Problem 7: Multiply 1.25 by 15
Problem 8: Multiply 7.25 by 1.2
Problem 9: Multiply 16.45 by 8.5
Problem 10: Multiply 17.75 by 19.68
Answer 1: 45.50
Answer 2: 181.47
Answer 3: 46.08
Answer 4: 246.24
Answer 5: 169.74
Answer 6: 97.5
Answer 7: 18.75
Answer 8: 8.7
Answer 9: 139.825
Answer 10: 349.32
Multiplying decimals by 2-digit numbers is an essential skill that students must master to handle more complex mathematical tasks. By following the steps outlined in this article, you can confidently multiply decimals by 2-digit numbers without difficulty. Practice regularly, and this skill will become second nature, enabling you to tackle a wide range of problems in both academic and real-world settings.
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