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How can negative powers of 10 make small numbers easier to write and compare?
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How do you get the negative of 4 to the 7th power?
Negative numbers to even powers will be positive, negative numbers to odd powers will be negative. The answer is -16,384.
Is it true if a negative number is raised to the 18th power the answer will be negative?
No. Negative numbers to even powers are positive.
Why are the very large and very small numbers usually written in powers of ten?
That gives a better overview. It's easier to compare two large numbers (or small numbers) written in scientific notation than if they are written out. When the numbers are written out, you have to count digits, which can be slow, error-prone, and basically useless. When the number is in scientific notation, the counting has basically already been done for you. To compare two numbers in normalized scientific notation, just compare the exponents.
What is the definition of positive powers of ten?
positive powers of ten are standard form, this is when large numbers are simplified to make math easier e.g 100000000 is 1x10^9
What is the combination of real numbers in math?
It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.
How do you get the negative of 4 to the 7th power?
Negative numbers to even powers will be positive, negative numbers to odd powers will be negative. The answer is -16,384.
Is it true if a negative number is raised to the 18th power the answer will be negative?
No. Negative numbers to even powers are positive.
Why are the very large and very small numbers usually written in powers of ten?
That gives a better overview. It's easier to compare two large numbers (or small numbers) written in scientific notation than if they are written out. When the numbers are written out, you have to count digits, which can be slow, error-prone, and basically useless. When the number is in scientific notation, the counting has basically already been done for you. To compare two numbers in normalized scientific notation, just compare the exponents.
What is the definition of positive powers of ten?
positive powers of ten are standard form, this is when large numbers are simplified to make math easier e.g 100000000 is 1x10^9
What is the combination of real numbers in math?
It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.
What is -2 to the 3rd power-?
(-2)^3 = (2*-1)^3 = (2^3)*(-1)^3 = 8*-1 = -8 General behavior: Negative numbers raised to even powers are positive, raised to odd powers are negative.
What are the differences between real numbers and imaginary numbers?
The set of real numbers is not closed under powers. That is to say, there are some equations of the form y = xa which do not have a solution within the set. Typical example: x is negative, a = 0.5
Why don't we use roman numbers any more?
Roman numerals are very difficult to do mathematics with, and do not work at all in advanced mathematics as the roman numeral system has no concept of zero, negative numbers, fractions, powers, or decimals.
How would you explain to a seventh grader the difference between the domains of an odd root radical function and an even root radical function?
To start with, when you multiply an even number of negative numbers, the answer is positive. When you multiply an odd number of negative numbers, the answer is negative. When you multiply any number of positive numbers, the answer is always positive. For positive numbers, the value of a power is always positive. For negative numbers, the value of an odd power is negative, and the value of an even power is positive. Finding roots is the inverse of taking powers, so that an odd-root function can be evaluated for any value of x. An even-root function, however, cannot be evaluated when the value of x is negative, since an even power can never result in a negative answer. The domain of an odd root function is all real numbers; the domain of an even root function is the non-negative real numbers.
What is 2 thirds in a decimal point?
A decimal point is just a point - a full stop. It separates place values with non-negative powers of ten from negative powers of ten. A decimal point has no numerical value.A decimal point is just a point - a full stop. It separates place values with non-negative powers of ten from negative powers of ten. A decimal point has no numerical value.A decimal point is just a point - a full stop. It separates place values with non-negative powers of ten from negative powers of ten. A decimal point has no numerical value.A decimal point is just a point - a full stop. It separates place values with non-negative powers of ten from negative powers of ten. A decimal point has no numerical value.
How do you change powers with negative exponents to powers with positive exponents?
by doing reciprocal
Which numbers are square numbers and also cube numbers?
Sixth powers.
