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Unit 2 test review
Question | Answer |
---|---|
If a number is between 0 and 1, then when representing it in scientific notation the exponent is ____________ | NEGATIVE ex. 0.00003456 3.456 x 10^-5 |
If a number is 1 or greater, then when representing it in scientific notation the exponent is ____________ | POSITIVE Ex. 345678 3.45678 x10^5 |
when multiplying two powers with the same base, then you ____________ the exponents | ADD Ex. 3^5 * 3^7= 3^12 |
when dividing two powers with the same base, then you ____________ the exponents | SUBTRACT (4^3)/(4^6) = 4^3-6=4^-3=1/4^3 |
How do you add like fractions? | Like fractions are fractions with the same denominator When fractions have common denominator, you keep the denominator and add the numerator |
How do you add unlike fractions? | unlike fractions are fractions with the different denominators When fractions have different denominators, you need to find the Least common multiple of the denominators. Once you have like fractions, keep the denominator and add the numerator |
How do you subtract like fractions? | Like fractions are fractions with the same denominator When fractions have common denominator, you keep the denominator and subtract the numerator |
How do you subtract unlike fractions? | unlike fractions are fractions with the different denominators When fractions have different denominators, you need to find the Least common multiple of the denominators. Once you have like fractions, keep the denominator and subtract the numerator |
how to go from mix number to improper fractions? | Multiply the denominator with the whole number and then add the product to the numerator, keep the denominator the same |
square root | a number is one of its two equal factors |
perfect square | squares of integers ex. 9, 25, 144 |
cube root | a cube root of a number is one of its three equal factors |
what is the sum of an additive inverse | zero |
what is an additive inverse | a number and its opposite the additive inverse of 3 is -3 |
are all square roots rational numbers | no, for example the square root of 2 is 1.414... which is an irrational number |
how to multiply two numbers in scientific notation? | multiply the coefficients(first part of a number in scientific notation) and add the exponents in power of 10 ex. (2.1 x 10^3)(1x10^4)=(2.1x1)x (10^(3+4))=2.1x10^7 |
how to multiply two numbers in scientific notation? | divide the coefficients(first part of a number in scientific notation) and subtract the exponents in power of 10 ex. (2.1 x 10^3)/(1x10^4)=(2.1/1)x(10^(3-4))=2.1x10^-1 |
#1 when adding or subtracting numbers in scientific notation | Make sure the exponents in the powers of 10 are equal |
can you take the square root of a negative number | no |
can you take the cube root of a negative number | yes |
how can you take the square root of a non-perfect square number | round your answer to the nearest perfect square |