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Answer :
Final answer:
The Hindu-Arabic numeral 753,159,801 in expanded form is written as (7 × 10^8) + (5 × 10^7) + (3 × 10^6) + (1 × 10^5) + (5 × 10^4) + (9 × 10^3) + (8 × 10^2) + (0 × 10^1) + (1 × 10^0), breaking the number down into each digit multiplied by a power of ten based on its place value.
Explanation:
The student is learning about Hindu-Arabic numerals and how to write numbers in expanded form using base 10. The number 753,159,801 can be written in expanded form as follows:
(7 × 108) + (5 × 107) + (3 × 106) + (1 × 105) + (5 × 104) + (9 × 103) + (8 × 102) + (0 × 101) + (1 × 100).
In this representation, each digit is multiplied by a power of ten that corresponds to its position in the number. For example, the 7 is in the hundred million's place, so it is multiplied by 108 (or 100,000,000).
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