Explanation:
Given the values 9.657 and 6.475. Before we can know how much smaller is the 7 in the second number compare to the first, we need to get their place values first.
For 9.657
The place value of 7 in this value is 7 thousandth
7 thousandth = 7/1000 = 0.007
For 6.475
The place value of 7 in this value is 7 hundredth
7 hundredth= 70/1000 =7/100 = 0.07
Hence the value of 7 in the first is smaller that that of the second.TO know by how much, we will take the ratio of the two values
Find their ratios:
0.07/0.007 = 7/100 ÷ 7/1000
= 7/100×1000/7
= 7000/700
= 10
This means that the place value of 7 in 9.657 is 10 times smaller than the value of 7 in 6.475