The homework assignment 6.8 contains four problems: Problem 5: Write "two hundred and twelve thousand" as a numeral. Problem 6: Write 40270 in expanded form. Problem 7: Write $5 \times 10000 + 2 \times 100 + 3 \times 10 + 8$ in its simplest form. Problem 8: How many days from 25th December 2013 to 25th February 2014?

ArithmeticNumber RepresentationPlace ValueTime Calculation
2025/4/2

1. Problem Description

The homework assignment 6.8 contains four problems:
Problem 5: Write "two hundred and twelve thousand" as a numeral.
Problem 6: Write 40270 in expanded form.
Problem 7: Write 5×10000+2×100+3×10+85 \times 10000 + 2 \times 100 + 3 \times 10 + 8 in its simplest form.
Problem 8: How many days from 25th December 2013 to 25th February 2014?

2. Solution Steps

Problem 5:
"Two hundred and twelve thousand" is written as 212,
0
0
0.
Problem 6:
40270 in expanded form is 4×10000+0×1000+2×100+7×10+0×14 \times 10000 + 0 \times 1000 + 2 \times 100 + 7 \times 10 + 0 \times 1.
Problem 7:
5×10000+2×100+3×10+85 \times 10000 + 2 \times 100 + 3 \times 10 + 8
=50000+200+30+8= 50000 + 200 + 30 + 8
=50238= 50238
Problem 8:
The number of days from 25th December 2013 to 25th February 2014:
From 25th December 2013 to 31st December 2013, there are 3125+1=631 - 25 + 1 = 6 days. But since we are looking for the number of days *from* 25th, we subtract 1 to get 3125=631-25 = 6 days.
In January 2014, there are 31 days.
From 1st February 2014 to 25th February 2014, there are 25 days.
Total number of days = 6+31+25=626 + 31 + 25 = 62 days.

3. Final Answer

Problem 5: 212,000
Problem 6: 4×10000+0×1000+2×100+7×10+0×14 \times 10000 + 0 \times 1000 + 2 \times 100 + 7 \times 10 + 0 \times 1
Problem 7: 50238
Problem 8: 62 days

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