Answer:
To find the missing decimal that makes the inequality true, we need to convert both numbers to equivalent decimals and then find the decimal that lies between them.
1.4 can be written as 1.40 (since trailing zeros do not change the value). We can also write 1 as 1.00, since it is equivalent to 1.
Now we have:
a > 1.40
is equivalent to:
a > 1.00 + 0.40
or
a > 1.00 + 4/10
To find the missing decimal, we need to find the decimal equivalent of 4/10.
4/10 can be simplified to 2/5, and we can convert it to a decimal by dividing 2 by 5:
2 ÷ 5 = 0.4
Therefore,
a > 1.00 + 0.4
or
a > 1.40
We can represent this on a number line as follows:
```
0 1 2 3
--|---------|---------|---------|-->
1.00 1.40 a
```
Since the inequality is "a is greater than 1.4", we shade the part of the number line that is to the right of 1.4 to represent all the values of a that satisfy the inequality.
Explanation:
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