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3 years ago

What is the relationship between the values of the given digits. 4s in 44,000

2 answers:

8 0

The 44 in 44,000 is indicating the value of the thousand (,000). Because it is a 44, it would be 44 thousand. The first 4 is the 10,000 digit, and the second 4 is the 1,000 digit. All together, it is 4 ten thousands, plus 4 thousands, making 44,000

Softa [21]3 years ago

3 0

Answer:

'The 4 in the ten thousand is 10 times the 4 in the thousands place'.

Step-by-step explanation:

Given : Number 4s in 44,000.

To find : What is the relationship between the values of the given digits ?

Solution :

The place value system is

Ten Thousand Thousand Hundred Tens Ones

4 4 0 0 0

The most-significant 4 has a value of 40,000.

The least-significant 4 has a value of 4,000.

So, $\frac{40000}{4000}=10$

i.e. The most -significant 4 value is 10 times the least-significant 4 value.

Therefore, The relationship between them is

'The 4 in the ten thousand is 10 times the 4 in the thousands place'.

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3 years ago

- The four-digit number 1210 has an interesting property.

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Step-by-step explanation:

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2 years ago

Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125

Savatey [412]

we have that

$300 + 150 + 75 +...$

Let

$a1=300\\ a2=150\\ a3=75$

we know that

$\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50$

$\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50$

$a(n+1)=an*0.50$

Is a geometric sequence

Find the value of $a4$

$a(4)=a3*0.50$

$a(4)=75*0.50$

$a(4)=37.5$

Find the value of $a5$

$a(5)=a4*0.50$

$a(5)=37.5*0.50$

$a(5)=18.75$

Find $S5$

$S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25$

therefore

the answer is

$581.25$

Alternative Method

Applying the formula

$S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25$

therefore

the answer is

$581.25$

6 0

3 years ago

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