Without performing the calculation, estimate which expression is larger. Explain how you know

Mathematics

1 answer:

Naddik [55]2 years ago

6 0

Answer:

4 × 10¹⁰ > 2 × 10⁵

Step-by-step explanation:

Given that,

Two numbers in scientific notation.

First number: 4 × 10¹⁰

Second number: 2 × 10⁵

To compare scientific notation number.

First check the exponent of 10

If exponent is larger then number becomes larger.

First number exponent is 10 and second number exponent if 5

10 > 5

Therefore,

4 × 10¹⁰ > 2 × 10⁵

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Which of the following gives a product of x^3 - 3x ?

Vilka [71]

Answer:

Option a

Step-by-step explanation:

Lets verify

RHS

$\\ \rm\longmapsto x(x^2-3)$

Use distributive law
a(b-c)=ab-bc

$\\ \rm\longmapsto x(x^2)-3x$

$\\ \rm\longmapsto x^3-3x$

$\\ \rm\longmapsto LHS$

Hence verifed

7 0

2 years ago

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Are 4/16 and 0.25/2 equivalent numbers? If so, explain how they are.

Aleksandr-060686 [28]

Two fractions are equivalent if the product of the numerator of the first and the denominator of the second is equal to the product of the numerator of the second and the denominator of the first.
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3 years ago

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pshichka [43]

Answer:

Step-by-step explanation:

The area of the square is $5^2=25$ and the area of a single triangle is $\frac{1}{2}(5)(4)=10$ .