Which expression represents the largest number?%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A%0D%0AImage with alt text: 6.1 times 10 Superscript negative 7 baseline%0D%0A%0D%0A%0D%0AImage with alt text: 4.1 times 10 Superscript negative 7 baseline%0D%0A%0D%0A%0D%0AImage with alt text: 3.1 times 10 Superscript negative 8 baseline%0D%0A%0D%0A%0D%0AImage with alt text: 5.1 times 10 Superscript negative 8 baseline
The expression that represents the largest number is:
Image with alt text: 6.1 times 10 Superscript negative 7 baseline
To determine which expression represents the largest number, we need to compare the exponents of 10 in each expression. A larger exponent indicates a larger number. Let's compare the exponents in the given expressions:
Expression 1: 6.1 × 10^-7
Expression 2: 4.1 × 10^-7
Expression 3: 3.1 × 10^-8
Expression 4: 5.1 × 10^-8
Comparing the exponents:
Expression 1: -7
Expression 2: -7
Expression 3: -8
Expression 4: -8
Looking at the exponents, we see that both Expression 1 and Expression 2 have an exponent of -7, while both Expression 3 and Expression 4 have an exponent of -8. Now, we need to compare the coefficient values (the numbers before 10).
Expression 1: 6.1
Expression 2: 4.1
Expression 3: 3.1
Expression 4: 5.1
Comparing the coefficients, we see that 6.1 (Expression 1) is greater than 4.1 (Expression 2), which means Expression 1 represents the largest number among the given expressions.
Therefore, the expression representing the largest number is 6.1 × 10^-7.
To determine the largest number among the given expressions, we need to compare their values.
The expressions are:
1) 6.1 × 10^(-7)
2) 4.1 × 10^(-7)
3) 3.1 × 10^(-8)
4) 5.1 × 10^(-8)
To compare these numbers, we can ignore the powers of 10 and focus on the decimal parts.
Comparing the decimal parts, we see that 6.1 is the largest value. Therefore, the expression 6.1 × 10^(-7) represents the largest number among the given options.