Question

Gena and her friends each estimated the quotient of -137.56 divided by -6.12 using compatible numbers. Which shows the best estimate using compatible numbers? a.-140--7= 20 b.-140-6=23 3 c.-135--7= 22.5 d.-135+-5=27

Answer 1

The best estimate using compatible numbers for the division of -137.56 by -6.12 is Option b, -140 divided by -6 equals 23.

Step-by-step explanation:

The estimation of the quotient using compatible numbers involves rounding -137.56 to -140 and -6.12 to -6, making the division simpler. The best estimate using these compatible numbers would be:

• Option a: -140 divided by 7 equals 20 (incorrect because of incorrect divisor)
• Option b: -140 divided by -6 equals 23 (correct)
• Option c: -135 divided by -7 equals 22.5 (incorrect because of incorrect divisor)
• Option d: -135 divided by 5 equals 27 (incorrect because of a positive divisor)

The correct option is b, which estimates the quotient as 23, the closest estimate to the actual value calculated with a calculator.

Answer 2

The best estimate using compatible numbers for the quotient of -137.56 divided by -6.12 is option b. -140-6=23.

Step-by-step explanation:

A quotient is the result of dividing one quantity by another. In mathematical terms, it represents the answer or solution obtained when a dividend is divided by a divisor. For example, in the division problem 12 ÷ 3, the quotient is 4.

The best estimate using compatible numbers for the quotient of -137.56 divided by -6.12 is option b. -140-6=23.

To estimate using compatible numbers, we round the numbers to make them easier to divide. In this case, we can round -137.56 to -140 and -6.12 to -6.

Now, we can divide -140 by -6, which equals 23. Therefore, option b is the best estimate using compatible numbers.