by powers of 10.
The pattern of zeros in the product when multiplying by powers of 10 is a result of our base-10 decimal system. Each place value in a decimal number represents a power of 10.
When you multiply a number by a power of 10, you are essentially shifting its digits to the left by the number of places equal to the exponent of 10.
Let's illustrate this with an example. Suppose we have the number 456, and we want to multiply it by powers of 10:
1. 456 multiplied by 10:
- When we multiply 456 by 10, we are essentially shifting all the digits one place to the left. So, we get 4560. Here, we've added one zero.
2. 456 multiplied by 100:
- When we multiply 456 by 100, we are shifting all the digits two places to the left. So, we get 45600. In this case, we've added two zeros.
3. 456 multiplied by 1,000:
- When we multiply 456 by 1,000, we are shifting all the digits three places to the left. So, we get 456000. Here, we've added three zeros.
And so on...
In general, when you multiply a number by 10 raised to the power of "n," you will add "n" zeros to the end of that number. This is a fundamental concept in our decimal number system and is why the pattern of zeros emerges when multiplying by powers of 10. Each power of 10 represents a place value shift, and adding zeros simply extends the number in the same manner.
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Answer:
One zero is always added when the power is added by +1
Step-by-step explanation:
The fraction of the length is the width of the book is 2/3.
In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, the length and width of a book are in the ratio 3:2.
The fraction is 2/3
Therefore, the fraction of the length is the width of the book is 2/3.
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Answer
8/13 = ??? = 2.4/5.2 ??? 8/13 and 24/52 8/13 * 3/3 = 24/39
Step-by-step explanation:
.
Answer:
The answer is 7. My name is Tedds the Dog.
Answer:
7 bags of dog food
Step-by-step explanation:
This so because if you add 1/2 7 times then you will get 3 1/2