Maths Olympiad Prep

Track / Stage 1 / 160 of 240 #160 of 2444

Problem 160

Algebra Difficulty 1.5 Find the answer CEMC Pascal

Calculate the expression 8×105+4×103+9×10+58 \times 10^{5}+4 \times 10^{3}+9 \times 10+5.

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Next problem →

Official solution

First, we write out the powers of 10 in full to obtain 8×100000+4×1000+9×10+58 \times 100000+4 \times 1000+9 \times 10+5. Simplifying, we obtain 800000+4000+90+5800000+4000+90+5 or 804095.

Source: Omni-MATH, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.