Here are the solutions to the math problems on the worksheet.
Expanded Notation
To write a number in expanded notation, you break it down by place value (thousands, hundreds, tens, and ones).
1)
5,918 = 5,000 + 900 + 10 + 8
2)
4,596 = 4,000 + 500 + 90 + 6
3)
1,049 = 1,000 + 40 + 9
4)
4,889 = 4,000 + 800 + 80 + 9
5)
1,936 = 1,000 + 900 + 30 + 6
6)
9,088 = 9,000 + 80 + 8
7)
8,177 = 8,000 + 100 + 70 + 7
8)
6,844 = 6,000 + 800 + 40 + 4
9)
9,262 = 9,000 + 200 + 60 + 2
10)
8,929 = 8,000 + 900 + 20 + 9
***
Standard Form
To write these in standard form, add the values together. For example, if you see $(2 \times 1000)$, that equals $2,000$.
11) $2,000 + 400 + 50 + 1$ =
2,451
12) $6,000 + 300 + 80 + 4$ =
6,384
13) $6,000 + 900 + 50 + 7$ =
6,957
14) $9,000 + 700 + 0 + 0$ =
9,700
15) $4,000 + 600 + 60 + 0$ =
4,660
16) $3,000 + 300 + 10 + 4$ =
3,314
17) $5,000 + 500 + 50 + 3$ =
5,553
18) $1,000 + 300 + 40 + 4$ =
1,344
19) $7,000 + 400 + 10 + 0$ =
7,410
20) $2,000 + 300 + 90 + 4$ =
2,394
Final Answer:
1) 5,000 + 900 + 10 + 8
2) 4,000 + 500 + 90 + 6
3) 1,000 + 40 + 9
4) 4,000 + 800 + 80 + 9
5) 1,000 + 900 + 30 + 6
6) 9,000 + 80 + 8
7) 8,000 + 100 + 70 + 7
8) 6,000 + 800 + 40 + 4
9) 9,000 + 200 + 60 + 2
10) 8,000 + 900 + 20 + 9
11) 2,451
12) 6,384
13) 6,957
14) 9,700
15) 4,660
16) 3,314
17) 5,553
18) 1,344
19) 7,410
20) 2,394
Parent Tip: Review the logic above to help your child master the concept of standard form and expanded form worksheet.