Let's address each of the given pairs of numerical expressions and determine their relationships.
### 1. Comparing [tex]\(7.93 \times 10^5\)[/tex] with 79300
First, we convert [tex]\( 7.93 \times 10^5 \)[/tex] into standard numerical form:
[tex]\[ 7.93 \times 10^5 = 793000 \][/tex]
Now, comparing 793000 with 79300, it is clear that:
[tex]\[ 793000 > 79300 \][/tex]
So, we put [tex]\( \geqslant \)[/tex]:
[tex]\[ 7.93 \times 10^5 > 79300 \][/tex]
### 2. Comparing [tex]\( 467.13 \times 10^2 \)[/tex] with [tex]\( 4.6713 \times 10^4 \)[/tex]
First, we convert both numbers into standard numerical form:
[tex]\[ 467.13 \times 10^2 = 46713 \][/tex]
[tex]\[ 4.6713 \times 10^4 = 46712.99999999999 \][/tex]
Comparing these values, we see they are very close, but not exactly equal, thus:
[tex]\[ 46713 \neq 46712.99999999999 \][/tex]
So, we put [tex]\( \neq \)[/tex]:
[tex]\[ 467.13 \times 10^2 \ne 4.6713 \times 10^4 \][/tex]
### 3. Comparing [tex]\( 1.67 \times 10^{-3} \)[/tex] with 0.0167
First, we convert [tex]\( 1.67 \times 10^{-3} \)[/tex] into standard numerical form:
[tex]\[ 1.67 \times 10^{-3} = 0.00167 \][/tex]
Comparing 0.00167 with 0.0167, it is clear that:
[tex]\[ 0.00167 < 0.0167 \][/tex]
So, we put [tex]\( < \)[/tex]:
[tex]\[ 1.67 \times 10^{-3} < 0.0167 \][/tex]
### 4. Comparing [tex]\( 56.103 \times 10^6 \)[/tex] with [tex]\( 56103 \times 10^4 \)[/tex]
First, we convert both numbers into standard numerical form:
[tex]\[ 56.103 \times 10^6 = 56103000 \][/tex]
[tex]\[ 56103 \times 10^4 = 561030000 \][/tex]
Comparing these values, it is evident that:
[tex]\[ 56103000 \ne 561030000 \][/tex]
So, we put [tex]\( \neq \)[/tex]:
[tex]\[ 56.103 \times 10^6 \ne 56103 \times 10^4 \][/tex]
### Summary:
1. [tex]\( 7.93 \times 10^5 > 79300 \)[/tex]
2. [tex]\( 467.13 \times 10^2 \ne 4.6713 \times 10^4 \)[/tex]
3. [tex]\( 1.67 \times 10^{-3} < 0.0167 \)[/tex]
4. [tex]\( 56.103 \times 10^6 \ne 56103 \times 10^4 \)[/tex]
