## Negative Exponents of 10 Names

**Introduction :**

Negative exponents is nothing but the number to the power is in minus. Thus negative exponents of 10 is expressed as 10-a. Here “a” is the negative exponents of ten. Thus the general for of negative exponents of 10 is 10-a. Depending up on the negative exponents in 10, we cal as specific name. In this article, we see about the names of negative exponent of 10.

Names of Negative Exponents of 10:

**Powers of ten:**

Let the powers of ten be start from -1

Powers of ten in negative form:

Case 1: 10-1 = `(1)/(10)` = 0.1 ; names of 10 to the power of minus 1 is

**tenth**

Case 2: 10-2 = `(1)/(100)` = 0.01; Names of 10 to the power of minus 2 is

**hundredth**

Case 3: 10-3 = `(1)/(1000)` = 0.001; Names of 10 to the power of minus 3 is

**thousandths**

Case 4: 10-4 = `(1)/(10000)` = 0.0001; Names of 10 to the power of minus 4 is

**ten - thousandths**

Case 5: 10-5 = `(1)/(100000)` = 0.00001; Names of 10 to the power of minus 5 is

**hundred - thousandths**

Case 6: 10-6 = `(1)/(1000000)` = 0.000001; Names of 10 to the power of minus 6 is

**Millionths.**

Case 7: 10-9 =`(1)/(1000000000)` = 0.000000001; Names of 10 to the power of minus 9 is

**Billionths.**

Thus the names of negative exponents of ten are nothing but adding zeroes with one depending upon the powers of ten.

Let us see the example problem for the negative exponents of 10.

Example Problems - Names of Negative Exponents of 10:

**Example 1:**

**Write the following number in form of negative exponents of 10?**

a) 0.00006

b) 0.003

Solution:

**a) 0.00006**

Step 1: Given number 0.00006 can be written as 6 * (`(1)/(100000)` )

Step 2: 6 * (`(1)/(100000)` )

= 6 * ( `(1)/(10)` ) * (`(1)/(10)` ) * (`(1)/(10)` ) * (`(1)/(10)` ) * (`(1)/(10)` ) = 6 * (10-5)

**Answer: 0.00006 = 6 * (10-5)**

**b) 0.003**

Step 1: Given number 0.003 can be written as 3 * (`(1)/(1000)` )

Step 2: 3 * (`(1)/(1000)` )

= 3 * (`(1)/(10)` ) * (`(1)/(10)` ) * (`(1)/(10)` ) = 3 * (10-3)

**Answer: 0.003 = 3 * (10-3)**

**Example 2:**

**Evaluate the following**

a) 7 * 10-4

b) 5 * 10-2

Solution:

**a)**

**7 * 10-4**

**Solution:**

Step 1: The power of ten be -7. Hence it can be written as `(1)/(10000)`

Step 2:multiply 7 and `(1)/(10000)`

We get 0. 0007

**Answer:**

**7 * 10-4 = 0.0007**

**b) 4 * 10-2**

Solution:

Step 1: The power of ten be -2. Hence it can be written as `(1)/(100)`

Step 2:multiply 4 and `(1)/(100)`

We get 0. 04

**Answer:**

**4 * 10-2 = 0.04**

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