Which expression has the least value? A) (4.7 x 10^4) + (8 x 10^4) B) (7.08 x 10^3) + (2.21 x 10^3) C) (5.43 x 10^8) - (2.33 x 10^8) D) (9.35 x 10^6) - (6.7 x 10^6)
Understand the Problem
The question is asking which of the provided mathematical expressions has the least value. This involves evaluating each expression to determine their numerical values in order to compare them.
Answer
The expression with the least value is \( (7.08 \times 10^3) + (2.21 \times 10^3) \).
Answer for screen readers
The expression that has the least value is ( (7.08 \times 10^3) + (2.21 \times 10^3) ).
Steps to Solve
- Evaluate the first expression
Calculate the value of $(4.7 \times 10^4) + (8 \times 10^4)$.
[ 4.7 \times 10^4 = 47000 ] [ 8 \times 10^4 = 80000 ] Adding these values: [ 47000 + 80000 = 127000 ]
- Evaluate the second expression
Calculate the value of $(7.08 \times 10^3) + (2.21 \times 10^3)$.
[ 7.08 \times 10^3 = 7080 ] [ 2.21 \times 10^3 = 2210 ] Adding these values: [ 7080 + 2210 = 9290 ]
- Evaluate the third expression
Calculate the value of $(5.43 \times 10^8) - (2.33 \times 10^8)$.
[ 5.43 \times 10^8 = 543000000 ] [ 2.33 \times 10^8 = 233000000 ] Subtracting these values: [ 543000000 - 233000000 = 310000000 ]
- Evaluate the fourth expression
Calculate the value of $(9.35 \times 10^6) - (6.7 \times 10^6)$.
[ 9.35 \times 10^6 = 9350000 ] [ 6.7 \times 10^6 = 6700000 ] Subtracting these values: [ 9350000 - 6700000 = 2650000 ]
- Compare the values
Now, let's summarize the evaluated expressions:
- A: $127000$
- B: $9290$
- C: $310000000$
- D: $2650000$
Identify the expression with the least value, which is $9290$ from expression B.
The expression that has the least value is ( (7.08 \times 10^3) + (2.21 \times 10^3) ).
More Information
The expression ( (7.08 \times 10^3) + (2.21 \times 10^3) ) evaluates to ( 9290 ), which is significantly lower than the other expressions, showcasing the importance of evaluating each expression systematically.
Tips
- Not converting scientific notation correctly: Ensure each term is converted to its numerical value properly before performing arithmetic operations.
- Misadding or miscalculating during addition or subtraction: Double-check arithmetic steps to avoid simple mistakes.
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