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Decimal multiplication is an essential skill in math. It often pops up in everyday scenarios, like dealing with money or measurements. When you multiply a decimal by a whole number, you are scaling up the decimal. Especially, when you multiply by a power of 10 (like 100 in our exercise), things get even easier.
Here’s a simple trick: count the zeros in the number you are multiplying with. For 100, there are two zeros. Moving the decimal two places to the right shifts each digit one place towards the left. That’s the concept our step-by-step solution used when moving the decimal point in 3.8798 two places to the right to get 387.98.
Practicing decimal multiplication helps you gain confidence in handling complex numbers and sets you up for more advanced topics like algebra and calculus.

Place value is the foundation of our entire number system. Every digit in a number has a value depending on its position. Understanding place value makes operations like multiplication much easier.
When dealing with decimals, place values extend beyond just ones, tens, and hundreds. For example, in the number 3.8798:

• ‘3’ is in the ones place
• ‘8’ is in the tenths place
• ‘7’ is in the hundredths place
• ‘9’ is in the thousandths place
• ‘8’ is in the ten-thousandths place

When multiplying by 100, each digit’s place value shifts, making the number larger. For instance, multiplying 0.01 (one hundredth) by 100 gives us 1 (one). So, recognizing how digits shift with place value helps us perform operations correctly and quickly.

Mathematical operations are the building blocks of math. Operations like addition, subtraction, multiplication, and division are fundamental. Multiplication, in our exercise, takes a number and scales it by another number.
Understanding how to carry out these operations, especially with decimals, requires understanding both the theory and practice. In our step-by-step solution, multiplying 100 by a decimal involved scaling up the decimal number by moving the decimal point. This method is based on a deep understanding of the nature of multiplication.
Such foundational knowledge not only helps solve basic problems but is crucial when tackling more complex math topics later on. Practicing these operations regularly builds a strong mathematical foundation.