Find three decimals between each of the following pairs of decimals:

A: 4.333333333(repeating 3) and 4.3
B: 203.76(repeating 7,6) and 203.7(repeating 7)

well, clearly, if you want values between

4.30000000000000... and
4.33333333333333...
All you need to do is replace the string of zeroes with something less than 33333333333333...

So, you could have
4.3123456789
4.3010101010
4.33333322222

Similarly for the other one

give me the answer

A: To find three decimals between 4.333333333(repeating 3) and 4.3, we can add or subtract a small value from each number. Since the repeating decimal 4.333333333... is closer to the number 4.3, let's subtract a small value from it.

Step 1: Taking 4.333333333... - 0.01 = 4.323333333...

Step 2: Taking 4.333333333... - 0.02 = 4.313333333...

Step 3: Taking 4.333333333... - 0.03 = 4.303333333...

Therefore, three decimals between 4.333333333(repeating 3) and 4.3 are 4.323333333..., 4.313333333..., and 4.303333333....

B: To find three decimals between 203.76(repeating 7,6) and 203.7(repeating 7), we can again add or subtract a small value from each number. Since the repeating decimal 203.76(repeating 7,6) is closer to the number 203.7(repeating 7), let's subtract a small value from it.

Step 1: Taking 203.76(repeating 7,6) - 0.01 = 203.75(repeating 7,6)

Step 2: Taking 203.76(repeating 7,6) - 0.02 = 203.74(repeating 7,6)

Step 3: Taking 203.76(repeating 7,6) - 0.03 = 203.73(repeating 7,6)

Therefore, three decimals between 203.76(repeating 7,6) and 203.7(repeating 7) are 203.75(repeating 7,6), 203.74(repeating 7,6), and 203.73(repeating 7,6).

To find three decimals between each pair of decimals, you can utilize the concept of decimal place value. Here's how you can solve them step by step:

A: 4.333333333(repeating 3) and 4.3

Step 1: Identify the difference between the two decimals.
Difference = 4.333333333 - 4.3
= 0.033333333

Step 2: Divide the difference by 4 to find the interval between each decimal.
Interval = 0.033333333 / 4
= 0.008333333

Step 3: Starting from the first decimal, add the interval consecutively three times to find the three decimals in between.
Decimal 1 = 4.3 + 0.008333333
= 4.308333333

Decimal 2 = 4.308333333 + 0.008333333
= 4.316666666

Decimal 3 = 4.316666666 + 0.008333333
= 4.325

Therefore, three decimals between 4.333333333 and 4.3 are 4.308333333, 4.316666666, and 4.325.

B: 203.76(repeating 7, 6) and 203.7(repeating 7)

Step 1: Identify the difference between the two decimals.
Difference = 203.76 - 203.7
= 0.06

Step 2: Divide the difference by 4 to find the interval between each decimal.
Interval = 0.06 / 4
= 0.015

Step 3: Starting from the first decimal, add the interval consecutively three times to find the three decimals in between.
Decimal 1 = 203.7 + 0.015
= 203.715

Decimal 2 = 203.715 + 0.015
= 203.73

Decimal 3 = 203.73 + 0.015
= 203.745

Therefore, three decimals between 203.76 and 203.7 are 203.715, 203.73, and 203.745.