Question

what number has 4 hundred thousands, 5 more ten thousands than hundred thousands, 2 fewer thousands than hundred thousands, 1 fewer hundred than thousands, 5 more tens than hundred thousands, and 7 fewer ones than ten thousands?

Explanation:

Step1: Determine hundred thousands place

The number of hundred thousands is 4. So, hundred thousands place: \( 4 \)

Step2: Determine ten thousands place

Ten thousands = hundred thousands + 5 = \( 4 + 5 = 9 \)

Step3: Determine thousands place

Thousands = hundred thousands - 2 = \( 4 - 2 = 2 \)

Step4: Determine hundreds place

Hundreds = thousands - 1 = \( 2 - 1 = 1 \)

Step5: Determine tens place

Tens = hundred thousands + 5 = \( 4 + 5 = 9 \)

Step6: Determine ones place

Ones = ten thousands - 7 = \( 9 - 7 = 2 \)

Step7: Combine all places

The number is formed by placing each digit in its respective place (hundred thousands, ten thousands, thousands, hundreds, tens, ones): \( 4\times100000 + 9\times10000 + 2\times1000 + 1\times100 + 9\times10 + 2\times1 \)
Calculate each term:

• \( 4\times100000 = 400000 \)
• \( 9\times10000 = 90000 \)
• \( 2\times1000 = 2000 \)
• \( 1\times100 = 100 \)
• \( 9\times10 = 90 \)
• \( 2\times1 = 2 \)

Now sum them up: \( 400000 + 90000 + 2000 + 100 + 90 + 2 = 492192 \)

Answer:

492192