Mathematics, 23.06.2019 07:40 f1a4n6ny

The approximate value of 4 times 10 superscript 9 divided by left parenthesis 1.5 times 10 superscript 6 right parenthesis is

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Answer from: rasv3491

$\boxed{2.7 \times 10^{3}}$

Step-by-step explanation:

$\dfrac{4 \times 10^{9}}{1.5 \times 10^{6}}$

1. Divide the coefficients and the exponentials separately

$\dfrac{4 \times 10^{9}}{1.5 \times 10^{6}} = \dfrac{4}{1.5} \times \dfrac{10^{9}}{10^{6}}$

2. Divide the coefficients

$\dfrac{4}{1.5} \approx 2.7$

3. Divide the exponential terms

Subtract the exponent in the denominator from the exponent in the numerator.

$\dfrac{10^{9}}{10^{6}} = 10^{(9 - 6)} = 10 ^{3}$

4. Rejoin the new coefficient and the new exponential

$\dfrac{4 \times 10^{9}}{1.5 \times 10^{6}} \approx \boxed{\mathbf{2.7 \times 10^{3}}}$

Answer from: Quest

6/20

step-by-step explanation:

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

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