Final answer:
The correct expression to complete the statement for the number 637,892 is '7000x10' (option c), which reflects the place value of the tens of thousands and hundreds when 't' is equal to 1.
Step-by-step explanation:
The expression that completes the statement '637,892 = 600,000 + 30,000t + 800t + 90 + 2' is '7000x10', which is option c), as 7,000 multiplied by 10 equals 70,000, and when added to the other terms, equals 637,892. Here's the breakdown of the original number into place value:
- 600,000 (hundreds of thousands)
- 30,000t (tens of thousands)
- 800t (hundreds)
- 90 (tens)
- 2 (ones)
To find the missing expression for 't', we can see that '30,000t + 800t' should equal the tens of thousands and hundreds from 637,892, which are 30,000 and 7,000, respectively. This means that t equals 1, making the full expression for 637,892 as 600,000 + 30,000 + 7,000 + 90 + 2.