9514 1404 393
Answer:
a) 9×10⁶ +1×10³ +1×10²
b) 8×10⁷ +7×10⁶ +9×10⁴ +6×10³ +1×10² +4×10¹ +2×10⁰
Step-by-step explanation:
The place value of each digit is 10 to a power equal to the number of places the digit is to the left of the units (ones) place. That is, the exponent of 10 is the number of zeros in the multiplier for place value.
a)
9,001,100 = 9×1,000,000 +1×1,000 +1×100 = 9×10⁶ +1×10³ +1×10²
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b)
87,096,142 = 80,000,000 +7,000,000 +90,000 +6,000 +100 +40 +2
= 8×10⁷ +7×10⁶ +9×10⁴ +6×10³ +1×10² +4×10¹ +2×10⁰
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Additional comment
It is useful to learn to think of place value in this way, because it helps immensely when you convert numbers to or from scientific notation.
You may notice the powers of ten count up for places to the left of the decimal point. They count down for places to the right. That is, the tenths place has a place value that is the inverse of the tens place: 1/10 = 10⁻¹.
