Question

Jason incorrectly simplified the expression (4.7*10^2)*(6.2*10^4). Circle each step that shows an error. Then correct each of those steps so that the expression is correctly simplified.

A Step 1. 4.7*6.2*10^2*10^4 ______________
B Step 2. (4.7*6.2)*(10^2*10^4) ______________
C Step 3. 29.14*10^8 _____________
D Step 4. 2.914*10^6 _______________

Answer 1

so sum means add
difference means subtract
represent as x and y
x+y=55 times (x-y)
find ratio of numbers
solve for one placeholder and simplify
solve for y
distributiver property a(b-c)=ab-ac
55(x-y)=55x-55y

Answer 2

Step C is incorrect: When you simplify exponents the rules are: for adding or subtracting, the base and the exponent must be equal; when multiplying the base must be the same, and the exponents will add; when dividing the base must be the same and the exponent will subtract.

Step D is incorrect: The last division is wrong, you could treat it with the general rule of exponents, subtracting the exponents of the base 10.

The correct procedure of each step is:

C.
`29.14*10^((2+4))`

D.
`2.914*10^(5)`