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VladimirAG [237]
3 years ago
5

which strategy do you prefer to use to multiply with multiples of 10: base ten blocks, a number line, or place value? Explain wh

y.
Mathematics
2 answers:
ExtremeBDS [4]3 years ago
8 0

Answer:        

In the base ten block method we use boxes for multiplying.

For 1 we use 100-block box,

For 10 we use 1000-block box.

For example: 10 × 4,

For this we need to take 4, 1000-block boxes,

Thus, the have total single boxes = 4000

Which is equivalent to 40.

Thus, 10 × 4 = 40

By the number line method,

If we want to find 10 × 4 by the number line method.

Then we will start counting 4 10's from 0 and 4th 10's occurs at 40.

Thus, 10×4 = 40

By the place value method,

If we want to multiply a number by a number then we will split a number into its place value then multiply each place value by the given number,

For example, 52 × 10

(50+2) × 10

50 × 10 + 2 × 10 = 500 + 20 = 520

Since, all method are easy, but when we talk about large number then Place value method is appropriate to use, because we can not count total 10's from 0 for a large number like 520. Also, for large number applying base ten block method is not appropriate.

ladessa [460]3 years ago
7 0
Place value. when multiplying by 10 you are moving a decimal, having everything lined up like place value would save you a lot of time.
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Answer:

0.98 = 98% probability that the average midterm score of these students is at most 75 points.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The average midterm score of students in a certain course is 70 points.

This means that \mu = 70

29 students are randomly selected and the standard deviation of their scores is found to be 13.15 points.

This means that \sigma = 13.15, n = 29, s = \frac{13.15}{\sqrt{29}} = 2.44

Find the probability that the average midterm score of these students is at most 75 points.

This is the pvalue of Z when X = 75. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{75 - 70}{2.44}

Z = 2.05

Z = 2.05 has a pvalue of 0.98.

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8. If you're doing the math by hand, make use of all available techniques for checking your arithmetic.
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