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4. Consider the expression 9 + 3 x 2 exponent 2 - 1 x 4

(a) What is the value of the expression? Show your work.

(b) How does the value change when grouping symbols are placed around 22 – 1? Show your work.


Sagot :

Answer:

a) 17

b) 45

Step-by-step explanation:

a) [tex]9+3 x 2^{2} - 1 x 4[/tex]

use pemdas first,

[tex]2^{2}\\[/tex] = 4

3x4 = 12

1x4 = 4

now the equation is [tex]9+12 - 4[/tex]

9+12 = 21

that makes the equation 21-4

21-4 = 17

a) 17

now for b

b)

the equation would then be [tex]9+3 x (2^{2} - 1) x 4[/tex]

so youd use pemdas as always

start in the parenthases

[tex]2^{2}[/tex] = 4

4-1 = 3

the equation is now [tex]9+3 x 3 x 4[/tex]

now, multiply 3x3x4

3x3 = 9

9x4 = 36

now the equation is 9+36

9+36 is 45

b) 45

hope this helped!

Answer:

A) 17    B) 45

Step-by-step explanation:

Hope this helps.