0.437 will be placed between the 0.43 and 0.44 increments.
To put 0.437 on the number line, we would first find the increment that is closest to 0.437. The closest increment is 0.435. We would then place 0.437 between the 0.43 and 0.44 increments, slightly closer to the 0.435 increment.
We can estimate that 0.437 is approximately 0.002 closer to the 0.435 increment than to the 0.43 increment.
To put 43.7% on the number line, we must first convert it to a decimal. 43.7% is equivalent to 43.7/100 = 0.437. Therefore, 43.7% would be placed on the number line at the same point as 0.437.
Below is the diagram of the number line with 0.437=43.7% placed on it.