Question
Write the following numbers using powers of ten.
7,000 = 7 × ____
- 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 7000 = 7 x _ is given , to solve this type of question divide both term by 7 and change the remaining number into power of 10.
The correct answer is: 103
Here , we have to solve 7000=7 x _ and find the power of 10
First , we are given 7000 = 7 x _ , we are going to solve this first.
Let blank space be e.
Now ,
7000 = 7 x e
Lets dividing side , LHS and RHS by 7,
7000/7 = 7/7 x e
=>1000=1 x e
=> e= 1000
We can also write e as,
e= 10x10x10 [1000= 10 x 10 x 10]
Therefore, e=10^3 [we can also write 10x10x10= 103, power of any number is multiply of same number into power times]
So the Power of ten is 10^ 3 and the correct answer is also 103. (option (c)).
So, we can write 7,000 = 7 × 103
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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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.
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13,000 = 13 × ____
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.
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Multiply 12 x 104.
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