MathCastle
Grade 5ChallengePowers of Ten

Powers of Ten · Challenge problem

The whole numbers aa and bb make both of these true:

0.004×10a=40and4000÷10b=0.040.004 \times 10^{a} = 40 \qquad\text{and}\qquad 4000 \div 10^{b} = 0.04

What is a+ba + b?