What is 90.125 written in expanded form? A. 9×10+1×1+2×110+5×1100 B. 9×1+1×110+2×1100+5×11,000 C. 9×10+1×110+2×1100+5×11,000 D. 9×1+1×1100+2×11,000+5×110,000
Answers
Answer:
90+0+1/10+2/100+5/1000
Given : 90.125 written in expanded form
To find : Correct option
A. 9×10+1×1+2×1/10+5×1/100
B. 9×1+1×1/10+2×1/100+5×1/1,000
C. 9×10+1×1/10+2×1/100+5×1/1,000
D. 9×1+1×1/100+2×1/1,000+5×1/10,000
Solution:
90.125
9 * 10¹ + 0 * 10⁰ + 1 * 10⁻¹ + 2 * 10⁻² + 5 * 10⁻³
= 9 * 10 + 0 + 1 * 1/10 + 2 * 1/10² + 5 * 1/10³
= 9 * 10 + 1 * 1/10 + 2 * 1/100 + 5 * 1/1000
option C is correct
A. 9×10+1×1+2×1/10+5×1/100
= 90 + 1 + 0.2 + 0.05
= 91.25
B. 9×1+1×1/10+2×1/100+5×1/1,000
= 9 + 0.1 + 0.02 + 0.005
= 9.125
C. 9×10+1×1/10+2×1/100+5×1/1,000
= 90 + 0.1 + 0.02 + 0.005
= 90.125
CORRECT
D. 9×1+1×1/100+2×1/1,000+5×1/10,000
= 9 + 0.01 + 0.002 + 0.0005
= 9.0125
Correct option C. 9×10+1×1/10+2×1/100+5×1/1,000
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