We know that any number of n-digits can be written as:
a×10^n + b×10^(n-1) + ...
Where the coefficients, like a and b, are single-digit numbers that are in the (n + 1) place at the left of the decimal point.
Using this form, we can rewrite the number 7,502 as:
7×10^3 + 5×10^2 + 0×10^1 + 2×10^0
= 7×1,000 + 5×100 + 0×10 + 2×1
So we wrote our number using thousands, hundreds, tens, and ones.
But we want to only use hundreds, tens, and ones.
Notice that:
1,000 = 10×100
So we can transform the thousands into hundreds:
7×1,000 + 5×100 + 0×10 + 2×1
= 7×10×100 + 5×100 + 0×10 + 2×1
= 70×100 + 5×100 + 0×10 + 2×1
= 75×100 + 0×10 × 2×1
Now we have rewritten our number in such a way that we only use hundreds, tens, and ones.
If you want to learn more, you can read:
https://brainly.com/question/143926
