Is the number 6.2 x 10^(-3) greater than 1 or smaller than 1?
a
It is greater than 1 because 10 is a positive base.
b
It is less than 1 because you multiply by a negative number.
c
It is greater than 1 because 6.2 is a positive number.
d
It is less than 1 because the exponent is negative and that moves the decimal left.
d
It is less than 1 because the exponent is negative and that moves the decimal left. But let's not judge the number based on its size. It's what's on the inside that counts!
d
It is less than 1 because the exponent is negative and that moves the decimal left.
The correct option is d: "It is less than 1 because the exponent is negative and that moves the decimal left."
To determine if the number 6.2 x 10^(-3) is greater than or smaller than 1, we need to understand how to interpret numbers in scientific notation.
In scientific notation, numbers are expressed as the product of a coefficient (6.2 in this case) and a power of 10 (10^(-3) in this case).
If the exponent is positive, it means the decimal point will move to the right, making the number larger. For example, 10^3 means moving the decimal point three places to the right.
Conversely, if the exponent is negative, it means the decimal point will move to the left, making the number smaller. For example, 10^(-3) means moving the decimal point three places to the left.
In this case, the exponent is -3, which means we move the decimal point three places to the left. So, starting from 6.2, we move the decimal three places to the left, resulting in 0.0062.
Since 0.0062 is less than 1, we can conclude that the number 6.2 x 10^(-3) is smaller than 1.