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Write out the following numbers in full with the correct number of zeros: (a)8.69104, (b)9.1103, (c)8.810-1, (d)4.76102, and (e)3.6210-5.

Short Answer

Expert verified

The given numbers in full with the correct number of zeros are (a) 86900, (b) 9100, (c) 0.88, (d) 476, and (e) 0.0000362.

Step by step solution

01

Step 1. Writing the numbers in full with the correct count of zeros

The correct way to express the number of zeros is to multiply the powers of 10 directly with the decimal number. The powers of 10 are used before the multiplication operator in the same number.

For example, the number 7.89105can be written in full as 789000.

02

Step 2. (a) Conversion of the number 8.69×104 in full with the correct count of zeros

The number 8.69104can be written in full as

8.69104=8.6910000=86900.

Thus, 8.69104can be written in full with the correct count of zeros as 86900.

03

Step 3. (b) Conversion of the number 9.1×103 in full with the correct count of zeros

The number 9.1103can be written in full as

9.1103=9.11000=9100.

Thus, 9.1103can be written in full with the correct count of zeros as 9100.

04

Step 4. (c) Conversion of the number 8.8×10-1 in full with the correct count of zeros

The number 8.810-1can be written in full as

8.810-1=8.8110=0.88.

Thus, 8.810-1can be written in full with the correct count of zeros as 0.88.

05

Step 5. (d) Conversion of the number 4.76×102 in full with the correct count of zeros

The number 4.76102can be written in full as

4.76102=4.76100=476.

Thus, 4.76102can be written in full with the correct count of zeros as 476.

06

Step 6. (e) Conversion of the number 3.62×10-5 in full with the correct count of zeros.

The number 3.6210-5can be written in full as

3.6210-5=3.621100000=0.0000362.

Thus, 3.6210-5can be written in full with the correct count of zeros as 0.0000362.

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