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Tamiku [17]
3 years ago
10

Circle the numbers that are correctly written in scientific notation and place an X over the numbers that are not

Mathematics
1 answer:
Oduvanchick [21]3 years ago
6 0
X x true true x true true x
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Prime factorization of 1408
V125BC [204]

Answer:

There are 7 copies of 2 and 1 copy of 11 in the product:

1408 = 2^7×11

Step-by-step explanation:

Factor the following integer:

1408

The last digit of 1408 is 8, which means it is even. Therefore 1408 is divisible by 2:

1408 = 2 704:

1408 = 2×704

The last digit of 704 is 4, which means it is even. Therefore 704 is divisible by 2:

704 = 2 352:

1408 = 2×2×352

The last digit of 352 is 2, which means it is even. Therefore 352 is divisible by 2:

352 = 2 176:

1408 = 2×2×2×176

The last digit of 176 is 6, which means it is even. Therefore 176 is divisible by 2:

176 = 2 88:

1408 = 2×2×2×2×88

The last digit of 88 is 8, which means it is even. Therefore 88 is divisible by 2:

88 = 2 44:

1408 = 2×2×2×2×2×44

The last digit of 44 is 4, which means it is even. Therefore 44 is divisible by 2:

44 = 2 22:

1408 = 2×2×2×2×2×2×22

The last digit of 22 is 2, which means it is even. Therefore 22 is divisible by 2:

22 = 2 11:

1408 = 2×2×2×2×2×2×2×11

11 is not divisible by 2 since 11 is odd and 2 is even:

1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2)

The sum of the digits of 11 is 1 + 1 = 2, which is not divisible by 3. This means 11 is not divisible by 3:

1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2 or 3)

The last digit of 11 is not 5 or 0, which means 11 is not divisible by 5:

1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2, 3 or 5)

Divide 7 into 11:

| | 1 | (quotient)

7 | 1 | 1 |  

- | | 7 |  

| | 4 | (remainder)

11 is not divisible by 7:

1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2, 3, 5 or 7)

No primes less than 11 divide into it. Therefore 11 is prime:

1408 = 2×2×2×2×2×2×2×11

There are 7 copies of 2 and 1 copy of 11 in the product:

Answer: 1408 = 2^7×11

8 0
3 years ago
The radius of a circle is 7 inches. What is the area?
Basile [38]

Answer:

21.98

Step-by-step explanation:

7*3.16=21.98

3 0
2 years ago
Read 2 more answers
Which is the domain of f(x) = 4^x<br> will give brainlist!
Ksenya-84 [330]

Answer:

all real numbers

Step-by-step explanation:

The domain is the input values

All values for x are valid as inputs to the function

4 0
3 years ago
Does anyone know how to answer this problem?<br>Here's the picture.​
horsena [70]

Answer:

3 \frac{46}{81}

Step-by-step explanation:

change 1 \frac{8}{9} to an improper fraction

1 \frac{8}{9} = \frac{17}{9} , thus

\frac{17}{9} × \frac{17}{9} = \frac{289}{81} = 3 \frac{46}{81} or 3.57 ( to 2 dec. places )

5 0
3 years ago
Read 2 more answers
the ages of amit and archana are in ratio of 4:5 if amit age is 4 years 8 month old.find the age of archana
xxTIMURxx [149]
For easier calculation,
convert 4years 8months into months. This would give you 56months.
Amit is 56months old.
4 units/proportion =56
1 unit=56/4
5unit=56/4 ×5(simplify)
7 0
2 years ago
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