1)Find the value of 7+2(5-2*3^2)
7+2(5-2*9)
7+2(5-18)
7+2(-13)
7+-26
(answer)-19
2)Name the sets of numbers to which 457 belongs.
(answer)natural,whole,integers,rational,reals
We have this:
7 + 2(5 - 2 * 3 ^ 2)
USE PEMDAS...Do you know what PEMDAS stands for?
Work out the inside of the parentheses first.
Inside we have this guy:
5 - 2(3)^2
5 - 2(9)
5 - 18
-13
We now have this:
7 + 2(-13)
7 - 26 = -19
Done!
=================
NEXT:
Name the sets of numbers to which 457 belongs.
457 belongs to the following family of numbers:
natural
whole
intergers
real numbers
I have doubt about rational.
Rational numbers are basically fractions.
Unless you meant to type 0.457, did you?
In other words, if a number can be written as a decimal (a decimal is basically a fraction) that either repeats forever or simply ends (called a terminating decimal), then the number is RATIONAL.
Can 457 be expressed as decimal number?
NO, it cannot!
This is why I doubt that the family of numbers above includes rational for 457.
See my point?
To find the value of the expression 7+2(5-2*3^2), we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):
Step 1: Evaluate the exponent - 3^2 = 9.
Step 2: Multiply 2 by the result of Step 1 - 2 * 9 = 18.
Step 3: Simplify the expression inside the parentheses - 5 - 18 = -13.
Step 4: Multiply 2 by the result of Step 3 - 2 * (-13) = -26.
Step 5: Add 7 to the result of Step 4 - 7 + (-26) = -19.
Therefore, the value of 7+2(5-2*3^2) is -19.
Now, let's move on to the second question:
To determine the sets of numbers to which 457 belongs, we need to consider various number systems:
1. Natural numbers (N): These are positive integers starting from 1. Since 457 is a positive integer, it belongs to the set of natural numbers.
2. Whole numbers (W): Whole numbers include zero along with the natural numbers. Since 457 is a positive integer, it also belongs to the set of whole numbers.
3. Integers (Z): Integers consist of positive and negative whole numbers, including zero. 457 is a positive whole number; therefore, it is an integer.
4. Rational numbers (Q): Rational numbers are numbers that can be expressed as fractions a/b, where a and b are integers (b is not zero). Since 457 can be represented as 457/1 and both 457 and 1 are integers, it also belongs to the set of rational numbers.
5. Real numbers (R): Real numbers encompass all rational and irrational numbers. 457 is a rational number; thus, it is also a real number.
Hence, 457 belongs to the sets of numbers: natural (N), whole (W), integers (Z), rational (Q), and real (R).