Question

Why do both of these show 27,974?
20,000+7,000+900+70+4
27 thousands+ 97 tens+ 4 one

Answer 1

Explanation:

`20,000+7,000+900+70+4=27974`

`27\cdot 1000+97\cdot10+4\cdot1=17974`

Answer 2

They are just different ways of writing the same number.

Explanation:

The reason why both of these expressions show 27,974:

20,000+7,000+900+70+4 is the sum of the numbers 20,000, 7,000, 900, 70, and 4.

When we add these numbers together, we get 27,974.

`\texsf{\sf 20,000 }\\\textsf{\:\:\:7,000 } \\\textsf{\:\:\:\:\:\:900 } \\\textsf{ \:\:\:\:\:\:\:70 }\\\underline{\textsf{ +\:\:\:\:\:\:4} }\\\textsf{27,974}`

27 thousands+ 97 tens+ 4 one is the expanded form of the number 27,974. This means that the number 27,974 is made up of 27 thousand, 97 tens, and 4 ones.

`\sf 27 \:thousands = 27 * 1000 = 27,000`

`\sf 97 \:tens = 97 *10 = 970`

`\sf 4 \:ones = 4 * 1 = 4`

`\sf 27,000 + 970 + 4 = 27,974`

In other words, both of these expressions represent the same number: 27,974. They are just different ways of writing the same number.