High School

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1. What is the value of the underlined digit in 552 791?

2. Calculate the following:
- Example: 669 ÷ 10 = 66.9
- (a) 458 ÷ 10 = 45.8
- (b) 853 ÷ 10 = 85.3
- (c) 971 ÷ 10 = 97.1
- (d) 8 127 ÷ 10 = 812.7

3. Calculate the following:
- Example: 8 754 ÷ 100 = 87.54
- (a) 9 577 ÷ 100 = 95.77
- (b) 8 258 ÷ 100 = 82.58
- (c) 856.5 ÷ 100 = 8.565
- (d) 1 449.37 ÷ 100 = 14.4937

4. Round off to the nearest 10:
- Example: 1 678 288 → 1 678 290
- (a) 9 043
- (b) 53 781
- (c) 489
- (d) 581 937

5. What is the missing input number?
- Example: 7 → × 2 - 3 → 11
- 15 → × 7 + 2 → 16

6. Round off to the nearest 100:
- Example: 6 781 472 → 6 781 500
- (a) 53 844
- (b) 4 796
- (c) 897
- (d) 79 992

Answer :

Let's go through each part of the question:

  1. What is the value of the underlined digit?

    • To find the value of an underlined digit, simply look at the place value of the digit within the number. For example, if the digit is in the tens place, its value is that digit times 10.
  2. Calculate the following: Division by 10

    • When you divide a number by 10, you essentially move the decimal point one place to the left.

    [tex]a) \ 458 \div 10 = 45.8[/tex]

    [tex]b) \ 853 \div 10 = 85.3[/tex]

    [tex]c) \ 971 \div 10 = 97.1[/tex]

    [tex]d) \ 8,127 \div 10 = 812.7[/tex]

  3. Calculate the following: Division by 100

    • When dividing by 100, the decimal point moves two places to the left.

    [tex]a) \ 9,577 \div 100 = 95.77[/tex]

    [tex]b) \ 8,258 \div 100 = 82.58[/tex]

    [tex]c) \ 856.5 \div 100 = 8.565[/tex]

    [tex]d) \ 1,449.37 \div 100 = 14.4937[/tex]

  4. Round off to the nearest 10

    • To round to the nearest ten, look at the units digit. If it is 5 or more, round up. If it is less than 5, round down.

    [tex]a) \ 9,043 \rightarrow 9,040[/tex]

    [tex]b) \ 53,781 \rightarrow 53,780[/tex]

    [tex]c) \ 489 \rightarrow 490[/tex]

    [tex]d) \ 581,937 \rightarrow 581,940[/tex]

  5. What is the missing input number?

    • It appears to be a sequence or pattern problem. Without clear information or a specific example, it's challenging to determine the correct input number.
  6. Round off to the nearest 100

    • To round to the nearest hundred, look at the tens digit. If it is 5 or more, round up. If it is less than 5, round down.

    [tex]a) \ 53,844 \rightarrow 53,800[/tex]

    [tex]b) \ 4,796 \rightarrow 4,800[/tex]

    [tex]c) \ 897 \rightarrow 900[/tex]

    [tex]d) \ 79,992 \rightarrow 80,000[/tex]

Each of these steps involves recognizing place values, understanding division, and rounding numbers accurately—which are key concepts in middle school mathematics.

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