Let’s solve each part of the “Number Challenge” step by step using the number
2,751,076.
---
1. Write the number in words.
Break it down by place value:
-
2,000,000 → Two million
-
751,000 → Seven hundred fifty-one thousand
-
76 → Seventy-six
✔ Answer: Two million, seven hundred fifty-one thousand, seventy-six
---
2. What digit is in the ten thousands place?
Let’s write the number with place values:
```
Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones
2 | 7 | 5 | 1 | 0 | 7 | 6
```
So, the
ten thousands place is the
5.
✔ Answer: 5
---
3. What is the value of the digit 1 in this number?
The digit
1 is in the
thousands place.
So its value is
1 × 1,000 = 1,000
✔ Answer: 1,000
---
4. 2,751,076 = 751,000 + 76 + ________
We need to find what’s missing.
Total = 2,751,076
Given parts: 751,000 + 76 = 751,076
Subtract from total:
2,751,076 – 751,076 =
2,000,000
✔ Answer: 2,000,000
---
5. What is the difference between the place values of two 7s in this number?
First, locate the two 7s:
- First 7: In the
hundred thousands place → value = 7 × 100,000 =
700,000
- Second 7: In the
tens place → value = 7 × 10 =
70
Difference = 700,000 – 70 =
699,930
✔ Answer: 699,930
---
6. What number is 100,000 more than this number?
Add 100,000 to 2,751,076:
2,751,076 + 100,000 =
2,851,076
✔ Answer: 2,851,076
---
7. What number is 100 less than this number?
Subtract 100 from 2,751,076:
2,751,076 – 100 =
2,750,976
✔ Answer: 2,750,976
---
8. Round the number to the nearest million.
Look at the digit in the
hundred thousands place to decide rounding.
Number:
2,751,076
- The digit in the millions place is
2
- The next digit (hundred thousands) is
7, which is ≥ 5 → round UP
So, 2,751,076 rounded to the nearest million =
3,000,000
✔ Answer: 3,000,000
---
9. Find the difference between 2,751,076 and 2,751,075.
Simple subtraction:
2,751,076 – 2,751,075 =
1
✔ Answer: 1
---
10. When 2,751,076 is divided by 9, the quotient is ______ and the remainder is ______.
Use division or check divisibility rule for 9:
Divisibility Rule for 9: Sum of digits must be divisible by 9.
Digits: 2 + 7 + 5 + 1 + 0 + 7 + 6 =
28
28 ÷ 9 = 3 with a remainder of
1 → So the whole number will have remainder 1 when divided by 9.
Now divide 2,751,076 ÷ 9:
You can do long division or use calculator:
2,751,076 ÷ 9 =
305,675 with a remainder of 1
Check:
9 × 305,675 = 2,751,075
2,751,076 – 2,751,075 = 1 → Correct.
✔ Answer: Quotient = 305,675, Remainder = 1
---
##
✔ Final Answers Summary:
1.
Two million, seven hundred fifty-one thousand, seventy-six
2.
5
3.
1,000
4.
2,000,000
5.
699,930
6.
2,851,076
7.
2,750,976
8.
3,000,000
9.
1
10.
Quotient = 305,675, Remainder = 1
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Parent Tip: Review the logic above to help your child master the concept of 5th grade math challenge worksheet.