3 years ago

Complete the expanded notation for 64,375

Mathematics

1 answer:

NISA [10]3 years ago

3 0

There are several expanded forms for a decimal number. Pick the one that matches your requirements.

64,375 = 60,000 +4,000 +300 +70 +5

64,375 = 6×10,000 +4×1,000 +3×100 +7×10 +5×1

64,375 = 6×10⁴ +4×10³ +3×10² +7×10¹ +5×10⁰

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2 years ago

The first term of an AP is -7 and the ratio of the eight term to the third term is 7:1 calculate the common difference

alukav5142 [94]

Answer:

the common difference is 6.

Step-by-step explanation:

Given;

first term of an AP, a = -7

let the common difference = d

The third term is written as;

T₃ = a + 2d

The eight term is written as;

T₈ = a + 7d

The ratio of the eight term to third term = 7:1

$\frac{T_8}{T_3} = \frac{7}{1} = \frac{a+ 7d}{a + 2d} \\\\7 = \frac{a+ 7d}{a + 2d}\\\\Recall, a = -7\\\\7 = \frac{-7+ 7d}{-7 + 2d}\\\\7(-7 + 2d) = -7+ 7d\\\\-49 + 14d = -7 + 7d\\\\14d -7d = -7 + 49\\\\7d = 42\\\\d = \frac{42}{7} \\\\d = 6$