10 плюс тысяча

Вот подробное решение на английском, подходящее для 10 класса и цели “Понять”.

Problem: 10 + 1000

Step-by-step solution:

1. Write the numbers in columns, aligning by place value: 1000

• 10

2. Start with the units column (the rightmost). 0 (from 1000) + 0 (from 10) = 0.
3. Move to the tens column. 0 (from 1000) + 1 (from 10) = 1.
4. Move to the hundreds column. 0 + 0 = 0.
5. Move to the thousands column. 1 + 0 = 1.
6. Read the digits from left to right: 1 0 1 0 → 1010.

Why this works:

• This is simple addition with no carrying needed. You are adding 10 to 1000, which increases the tens place of 1000 to 1 in the tens position, giving 1010.
• Alternative view: 1000 + 10 = 1010 (commutative property of addition).

Expanded form check:

• 1000 = 1×1000, 10 = 1×10, so (1×1000) + (1×10) = 1010.

Answer: 1010

If you want, I can give more practice problems of similar type or explain place-value ideas in more depth.