Exercises: Number Bases — Converting to and from Base 10

Work through each section in order. Show your work where indicated. In base $b$, the only valid digits are $0$ through $b-1$.

Grade 7·18 problems·~30 min·Uganda NCDC Primary 7 Mathematics·lesson·whole-numbers-03

Work through problems with immediate feedback

Recall / Warm-Up

In base 10, the number $345$ can be written as an expansion using powers of $10$ . Which expansion is correct?

$(3 \times 10^2) + (4 \times 10^1) + (5 \times 10^0)$

$(3 \times 10^1) + (4 \times 10^2) + (5 \times 10^0)$

$(3 \times 10^3) + (4 \times 10^2) + (5 \times 10^1)$