QuestionSelect expressions that equal 650.509: (A) 650 + 0.509, (B) 650 + 0.50 + 0.009, (C) 600 + 50 + 0.5 + 0.009, (D) 6500 + 0.5 + 0.009, (E) 650 + 5.0 + 9.

Studdy Solution

STEP 1

Assumptions1. We are representing the number650.509 in different forms. . The number650.509 consists of650 ones (or whole numbers) and509 thousandths (or decimal numbers).

STEP 2

We will check each option one by one to see if it represents650.509.
(A)650 ones +509 thousandthsThis is the direct representation of650.509. The whole number part is650 and the decimal part is509 thousandths.

STEP 3

(B)65 tens +50 hundredths +9 thousandthsThis option can be rewritten as $65 \times10 +50 \times \frac{1}{100} +9 \times \frac{1}{1000}$

STEP 4

Calculate the value of the expression in option (B).
$65 \times10 +50 \times \frac{1}{100} +9 \times \frac{1}{1000} =650 +0. +0.009 =650.509$ So, option (B) also represents650.509.

STEP 5

(C) hundreds +50 tens +50 tenth +9 thousandthsThis option can be rewritten as $\times100 +50 \times10 +50 \times \frac{1}{10} +9 \times \frac{1}{1000}$

STEP 6

Calculate the value of the expression in option (C).
$6 \times100 +50 \times10 +50 \times \frac{1}{10} +9 \times \frac{1}{1000} =600 +500 +5 +0.009 =1105.009$ So, option (C) does not represent650.509.

STEP 7

(D)65 hundreds +5 tenths +9 thousandthsThis option can be rewritten as $65 \times100 +5 \times \frac{1}{10} +9 \times \frac{1}{1000}$

STEP 8

Calculate the value of the expression in option ().
$65 \times100 +5 \times \frac{1}{10} + \times \frac{1}{1000} =6500 +0.5 +0.009 =6500.509$ So, option () does not represent650.509.

STEP 9

(E)65 tens +50 tenths +9This option can be rewritten as $65 \times +50 \times \frac{}{} +9$

STEP 10

Calculate the value of the expression in option ().
$65 \times10 +50 \times \frac{}{10} +9 =650 +5 +9 =664$ So, option () does not represent650.509.
The expressions that represent650.509 are options (A) and (B).

Was this helpful?

QuestionSelect expressions that equal 650.509: (A) 650 + 0.509, (B) 650 + 0.50 + 0.009, (C) 600 + 50 + 0.5 + 0.009, (D) 6500 + 0.5 + 0.009, (E) 650 + 5.0 + 9.

Studdy Solution

STEP 1

Assumptions1. We are representing the number650.509 in different forms. . The number650.509 consists of650 ones (or whole numbers) and509 thousandths (or decimal numbers).

STEP 2

We will check each option one by one to see if it represents650.509.
(A)650 ones +509 thousandthsThis is the direct representation of650.509. The whole number part is650 and the decimal part is509 thousandths.

STEP 3

(B)65 tens +50 hundredths +9 thousandthsThis option can be rewritten as $65 \times10 +50 \times \frac{1}{100} +9 \times \frac{1}{1000}$

STEP 4

Calculate the value of the expression in option (B).
$65 \times10 +50 \times \frac{1}{100} +9 \times \frac{1}{1000} =650 +0. +0.009 =650.509$ So, option (B) also represents650.509.

STEP 5

(C) hundreds +50 tens +50 tenth +9 thousandthsThis option can be rewritten as $\times100 +50 \times10 +50 \times \frac{1}{10} +9 \times \frac{1}{1000}$

STEP 6

Calculate the value of the expression in option (C).
$6 \times100 +50 \times10 +50 \times \frac{1}{10} +9 \times \frac{1}{1000} =600 +500 +5 +0.009 =1105.009$ So, option (C) does not represent650.509.

STEP 7

(D)65 hundreds +5 tenths +9 thousandthsThis option can be rewritten as $65 \times100 +5 \times \frac{1}{10} +9 \times \frac{1}{1000}$

STEP 8

Calculate the value of the expression in option ().
$65 \times100 +5 \times \frac{1}{10} + \times \frac{1}{1000} =6500 +0.5 +0.009 =6500.509$ So, option () does not represent650.509.

STEP 9

(E)65 tens +50 tenths +9This option can be rewritten as $65 \times +50 \times \frac{}{} +9$

STEP 10

Calculate the value of the expression in option ().
$65 \times10 +50 \times \frac{}{10} +9 =650 +5 +9 =664$ So, option () does not represent650.509.
The expressions that represent650.509 are options (A) and (B).

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSelect expressions that equal 650.509: (A) 650 + 0.509, (B) 650 + 0.50 + 0.009, (C) 600 + 50 + 0.5 + 0.009, (D) 6500 + 0.5 + 0.009, (E) 650 + 5.0 + 9.

Studdy Solution

STEP 1

Assumptions1. We are representing the number650.509 in different forms. . The number650.509 consists of650 ones (or whole numbers) and509 thousandths (or decimal numbers).

STEP 2

We will check each option one by one to see if it represents650.509.(A)650 ones +509 thousandthsThis is the direct representation of650.509. The whole number part is650 and the decimal part is509 thousandths.

STEP 3

(B)65 tens +50 hundredths +9 thousandthsThis option can be rewritten as65×10+50×1100+9×1100065 \times10 +50 \times \frac{1}{100} +9 \times \frac{1}{1000}65×10+50×1001​+9×10001​

STEP 4

Calculate the value of the expression in option (B).65×10+50×1100+9×11000=650+0.+0.009=650.50965 \times10 +50 \times \frac{1}{100} +9 \times \frac{1}{1000} =650 +0. +0.009 =650.50965×10+50×1001​+9×10001​=650+0.+0.009=650.509So, option (B) also represents650.509.

STEP 5

(C) hundreds +50 tens +50 tenth +9 thousandthsThis option can be rewritten as×100+50×10+50×110+9×11000 \times100 +50 \times10 +50 \times \frac{1}{10} +9 \times \frac{1}{1000}×100+50×10+50×101​+9×10001​

STEP 6

STEP 7

(D)65 hundreds +5 tenths +9 thousandthsThis option can be rewritten as65×100+5×110+9×1100065 \times100 +5 \times \frac{1}{10} +9 \times \frac{1}{1000}65×100+5×101​+9×10001​

STEP 8

Calculate the value of the expression in option ().65×100+5×110+×11000=6500+0.5+0.009=6500.50965 \times100 +5 \times \frac{1}{10} + \times \frac{1}{1000} =6500 +0.5 +0.009 =6500.50965×100+5×101​+×10001​=6500+0.5+0.009=6500.509So, option () does not represent650.509.

STEP 9

(E)65 tens +50 tenths +9This option can be rewritten as65×+50×+965 \times +50 \times \frac{}{} +965×+50×​+9

STEP 10

Calculate the value of the expression in option ().65×10+50×10+9=650+5+9=66465 \times10 +50 \times \frac{}{10} +9 =650 +5 +9 =66465×10+50×10​+9=650+5+9=664So, option () does not represent650.509.The expressions that represent650.509 are options (A) and (B).

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

We will check each option one by one to see if it represents650.509.
(A)650 ones +509 thousandthsThis is the direct representation of650.509. The whole number part is650 and the decimal part is509 thousandths.

(B)65 tens +50 hundredths +9 thousandthsThis option can be rewritten as $65 \times10 +50 \times \frac{1}{100} +9 \times \frac{1}{1000}$

Calculate the value of the expression in option (B).
$65 \times10 +50 \times \frac{1}{100} +9 \times \frac{1}{1000} =650 +0. +0.009 =650.509$ So, option (B) also represents650.509.

(C) hundreds +50 tens +50 tenth +9 thousandthsThis option can be rewritten as $\times100 +50 \times10 +50 \times \frac{1}{10} +9 \times \frac{1}{1000}$

(D)65 hundreds +5 tenths +9 thousandthsThis option can be rewritten as $65 \times100 +5 \times \frac{1}{10} +9 \times \frac{1}{1000}$

Calculate the value of the expression in option ().
$65 \times100 +5 \times \frac{1}{10} + \times \frac{1}{1000} =6500 +0.5 +0.009 =6500.509$ So, option () does not represent650.509.

(E)65 tens +50 tenths +9This option can be rewritten as $65 \times +50 \times \frac{}{} +9$

Calculate the value of the expression in option ().
$65 \times10 +50 \times \frac{}{10} +9 =650 +5 +9 =664$ So, option () does not represent650.509.
The expressions that represent650.509 are options (A) and (B).