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Chapter 1: Q49. (page 9)

Evaluate each expression if w=6,x=0.4,y=12,and z=-3

1y+1w

Short Answer

Expert verified

Expression 1y+1w results into136

Step by step solution

01

- Order of simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

  • First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
  • Evaluate the exponents.
  • Perform Multiplication and division from left to right.
  • Perform addition and subtraction from left to right.
02

- Substitute given values

Substitute 12for y, 6 for winto given expression

1y+1w=112+16

03

- Simplify  112+16

First take reciprocal ofyand w, then take least common multiple of denominator and perform fraction addition as shown below

Reciprocal of12is21and of 6 is 16

Least common multiple of 1 and 6 is 6

localid="1646745673704" 112+16=21+16=12+16=136

Thus, value of1y+1wis 136

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