Question
Write the following numbers using powers of ten.
900 = 9 × ____
- 102
- 103
- 104
- 105
Hint:
Here we have to use the power of 10 to solve the question . If some random number have some power the value of number is power times random number. Here 900= 9x___ is given , to solve this type of question divide both term by 9 and change the remaining number into power of 10.
The correct answer is: 102
Here , we have to solve 900=9 x _ and find the power of 10
First , we are given 900 = 9x _ , we are going to solve this first.
Let missing space be a.
Now ,
900 = 9 x a
Lets dividing side , LHS and RHS by 9,
900/9 = 9/9x a
=>100=1 x a
=> a= 100
We can also write a as,
a= 10x10 [100= 10 x 10]
Therefore, a=102 [we can also write 10x10= 102, power of any number is multiply of same number into power times]
So, the Power of ten is 102 and the correct answer is also 102. (option (c)).
The exponent is the power of a number which is multiply the same number into power of number. Here we need to convert number in power of 10. The easy way to find out the power of ten in number to count the number of last zeros of the resultant product.
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Multiplication (often denoted by the cross symbol ×, by the mid-line dot operator ⋅, by juxtaposition, or, on computers, by an asterisk *) is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.
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One box of donut cost $10. 3 boxes of donut cost are?
Sometimes people use the '^' symbol, as it is easy to type. When writing, the common sign for multiplication is 'x'. In spreadsheets and some other computer applications the ' * 'symbol (or asterisk) is used to indicate a multiplication operation.
