5,370,288 to the nearest 100,000.

Mathematics

1 answer:

Luden [163]4 years ago

3 0

Answer:

5,400,000

Step-by-step explanation:

n order to round numbers you must understand the rules for rounds. When looking at a number and deciding whether or not to round up or down, you must look at the number to the right of the target number. Numbers which are four or less round down. Numbers five or more round up to the next value. In the number 5,370,288 the target number is in the hundred thousands place, it is three. Right of the three is a seven. Following the rule, that means we must round up, changing the 3 to a four and all numbers following it to the right must be made zeroes. Your final answer will be 5,400,000.

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Step-by-step explanation:

1. Let the number be represented by n. Then ten times the number is 10n, and 8 more than that is 10n+8. The problem statement tells us this sum is -56:

10n +8 = -56

10n = -64 . . . . . . . subtract 8 from both sides

n = -6.4 . . . . . . . . . divide both sides by 10

The number is -6.4.

2. First of all, you can tell there is an issue with this question because the sum of digits of 472 is 13 and the sum of those digits is 4. This tells you that dividing 472 by 9 will give a remainder of 4, not 5. One of the buses will not be filled. (This process of adding digits until you get a single digit is called "casting out nines". The remaining digit is the remainder from division by 9.)

Let b represent the number of students in each bus. Then the problem statement tells us ...

9b + 5 = 472

9b = 467 . . . . . . subtract 5

b = 467/9 = 51 8/9 . . . . almost 52

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15%×2 + 6%×q = 12%×(2+q)

Multiplying by 100 to clear the % signs, we have ...

15·2 +6q = 12(2+q)

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