6. The table shows the equations Ms. Valez discussed in math class today.Explain the pattern of zeros in the product when multiplying
by powers of 10.
Answers
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:
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the sum of 2 numbers is 30. the sum of the greater number and three times the lesser number is 54. Find the numbers
Abner went to dinner, and spent 33.60 this included 20% tax. How much did dinner cost before the tax?
Answers
Move the digit to the thousand place so that it's value is 10 times greater.
Given that,
A digit is in the hundreds place. The digit is moved so that its value is 10 times greater. To which place it move is to be determined.
What is simplification?
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Let the digit be 1 on the hundred places, and digits on ten and unit place are 0, 0,
So the number is 100
Now the digit on the hundred place shift to a thousand places and the place vacant on the hundred places is filled by another 0.
Now the number is 1000,
Dividing later number to the former number i.e.
= 1000 / 100
= 10
Thus, move the digit to the thousand place so that it's value is 10 times greater.
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How many times does each wheel revolve on his journey of 1 Kilometer?
Answers
Answer:
The wheels have to rotate 500 times
Step-by-step explanation:
The wheel is 1 meter in diameter so we need to find the circumference.
C = 2r
C = 21
C= 2
2meters = .002kilometers
1000meters = 1kilometer
1000/2 = 500
Answers
The answer is -16, 4 and 3.
To find the local minimum.
What is co-ordinate geometry?
Coordinate geometry is defined as the study of geometry using the coordinate points.
By the graph, in interval [-3,0], the smallest value is -16 and hence it is the local minimum.
In interval [0,3], the largest value is 4, so it is local maximum and smallest value is -3, which is the local minimum.
Thus, the values are -16, 4 and -3.
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The graph is missing.
Answer:
the other person right with everything but its -16.18 not just -16
Step-by-step explanation:
ye
Answers
Answers
Answer:
hes paid 13,640
Step-by-step explanation:
The rate of change between these two points is