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Q5. Verify the following: (-50) X [37 + (-7)] = (-50) X 37 + (-50) X (-7)
Answers
Step-by-step explanation:
first of all we take L.H.S=(-50)X[37+(-7)]
=(-50)X(37-7)
=(-50)X30
=-1500
then come to the next side i.e
R.H.S=(-50)X37+(-50)X(-7)
=-1850+350
=-1500
therefore L.H.S=R.H.S
hence verified
Answer:
The equation (-50) × { 37 + (-7)} = (-50) × 37 + (-50) × (-7) is correct as both sides of the equation, give the same value.
Step-by-step explanation:
(-50) × { 37 + (-7)} = (-50) × 37 + (-50) × (-7)
First step: Solve the right side of the equation and the left side and compare the two:
(-50) × { 37 + (-7)} = (-50) × 37 + (-50) × (-7)
The left side of the equation : (-50) × { 37 + (-7)}
The right side of the equation: (-50) × 37 + (-50) × (-7)
Second step: Find the solution to the left side of the equation:
Apply BODMAS/PEMDAS to solve the equation ( Solve starting with Parenthesis, then exponents, multiplication, division, addition, and subtraction last.)
BODMAS - brackets, Of, Division, multiplication addition and subtraction.
Solve the equation in the above order.
(-50) × { 37 + (-7)}
= (-50) × { 37 +(-7)} ...............solve the parenthesis first
= (-50) × ( 37 - 7) ..................... solve the parenthesis
= -50 × 30 ..............multiply the two numbers
= -1500
The solution for the left side of the equation is -1500
Third step: Find the solution of the right side of the equation
Apply BODMAS/PEMDAS to solve the equation ( Solve starting with Parenthesis, then exponents, multiplication, division, addition, and subtraction last.)
Solve the equation in the above order
BODMAS - brackets, Of, Division, multiplication addition and subtraction.
(-50) × 37 + (-50) × (-7)
= (-50 × 37) + (-50 × -7).......multiplication next
= -1850 + 350 ..............add the to
= 350 - 1850
= -1500
Therefore the equation (-50) × [37 + (-7)] = (-50) × 37 + (-50) × (-7) has been verified as a correct equation.