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Write each of the following in scientific notation :1.5

a. role="math" localid="1651689758670" 120000 b. 0.00000034

c. 0.066 d. 2700

Short Answer

Expert verified

a. The number 120000in scientific notation is localid="1652084498451" 1.2×105.

b. The number 0.00000034in scientific notation is 3.4×10-7.

c. The number 0.066in scientific notation is 6.6×10-2.

d. The number 2700in scientific notion is2.7×103.

Step by step solution

01

Part (a) Step 1: Given Information

We need to write120000in scientific notation.

02

Part (a) Step 2: Explanation

First of all, moving the decimal place so the is only one number on the left side of the decimal point

120000→1.20000

Now, account for the movement using the powers of 10, since we have moved five places to the left, we will include.

03

Part (b) Step 1: Given Information

We need to write0.00000034in scientific notation.

04

Part (b) Step 2: Explanation

Firstly we will move the decimal place so there is only one number on the left side of the decimal point

0.00000034→0000003.4

Now, accounting for the movement using the power of 10, since we have moved seven places to the right, we will include

10-7=3.4×10-7.

05

Part (c) Step 1: Given Information

We need to write0.066in scientific notation.

06

Part (c) Step 2: Explanation

Firstly we will move the decimal place so there is only one number on the left side of the decimal point

0.066→06.6

Now, accounting for the movement using the power of 10, since we have moved seven places to the right, we will include

10-2=6.6×10-2.

07

Part (d) Step 1: Given Information

We need to write2700in scientific notation.

08

Part (d) Step 2: Explanation

Firstly we will move the decimal place so there is only one number on the left side of the decimal point

2700→2.700

Now, accounting for the movement using the power of 10, since we have moved seven places to the right, we will include

103=2.7×103.

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