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erastovalidia [21]
3 years ago
13

Explain why multiplying 37.4×0.1 gives a product that is less than 37.4

Mathematics
2 answers:
Yuliya22 [10]3 years ago
5 0
Multiplying by 0.1 is the same as dividing by 10, as 0.1 = 1/10 

So, 37.4x 0.1 = 37.4/10 = 3.74
-Dominant- [34]3 years ago
4 0

Answer/Explanation:

When reading 0.1, we read it as "one tenth."  This can also be represented as 1/10.

A fraction bar represents division; this means when we multiply something by 1/10, or take 1/10 of something, we divide it by 10.  Division results in a smaller number; thus multiplying by 1/10 results in a smaller number.

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Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16
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Answer:

Jogging 6th time.

Step-by-step explanation:

We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.

We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.

We know that an arithmetic sequence is in form a_n=a_1+(n-1)d, where,

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Let us find common difference of our given sequence as:

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Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.

1

Let us solve for n.

1

1

1\cdot \frac{16}{3}

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n>5.333

We can also write next terms of our sequence as:

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Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.

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