Question

name march orosco date

1. write each number in expanded form:

a. 6.458 =
____ + __ + __ + ____
b. 7.31 = ____ + __ + ____

1. in the number 4,783.25 what number is in each place value:

a. hundredths ______
b. thousands ______
c. tenths ______

1. in the number 439, how is the value of the 3 related to the value of the 9?
2. round each number to the tenths place:

a. 757.92
b. 87.003
©measuring the middle, 2013

Explanation:

Step1: Expand 6.458 by place value

$6 + 0.4 + 0.05 + 0.008$

Step2: Expand 7.31 by place value

$7 + 0.3 + 0.01$

Step3: Identify digit in hundredths place (4,783.25)

The hundredths place is the second digit after the decimal: $5$

Step4: Identify digit in thousands place (4,783.25)

The thousands place is the fourth digit from the right: $4$

Step5: Identify digit in tenths place (4,783.25)

The tenths place is the first digit after the decimal: $2$

Step6: Compare place values in 439

The 3 is in the tens place (value $30$), the 9 is in the ones place (value $9$). $30 = \frac{10}{1} \times 9$, so the 3's value is 10 times the 9's value.

Step7: Round 757.92 to tenths place

Look at hundredths digit (2, <5), so keep tenths digit: $757.9$

Step8: Round 87.003 to tenths place

Look at hundredths digit (0, <5), so keep tenths digit: $87.0$

Answer:

1.
a. $6 + 0.4 + 0.05 + 0.008$
b. $7 + 0.3 + 0.01$
2.
a. $5$
b. $4$
c. $2$

1. The value of the 3 is 10 times the value of the 9.

4.
a. $757.9$
b. $87.0$