Question

place value: decimals

1. circle the numbers that have 4 ten - thousandths.

23.6614 341.173 6.82134 9,914.27 72.2354

1. circle the numbers that have 7 hundredths.

70.2412 91.2741 101.673 4.23467 232.017

1. circle the numbers that have 1 hundred - thousandths.

4.56721 12.3678 678.932 7.09451 1,289.41

1. write the place value of each digit in words.

231.562 two hundred thirty one and five hundred sixty two thousandths
4,439.08
7.87221
62.0976

1. write the numbers in expanded form.

12.8927=(1×10)+(2×1)+(8×0.1)+(9×0.01)+(2×0.001)+(7×0.0001)
567.009=
9,123.68=

Explanation:

Step1: Identify ten - thousandths place

The ten - thousandths place is the fourth digit after the decimal point. For 23.6614, the digit in the ten - thousandths place is 4. For 6.82134, the digit in the ten - thousandths place is 3. For 72.2354, the digit in the ten - thousandths place is 4. So the numbers with 4 in the ten - thousandths place are 23.6614 and 72.2354.

Step2: Identify hundredths place

The hundredths place is the second digit after the decimal point. For 91.2741, the digit in the hundredths place is 7. For 101.673, the digit in the hundredths place is 7. So the numbers with 7 in the hundredths place are 91.2741 and 101.673.

Step3: Identify hundred - thousandths place

The hundred - thousandths place is the fifth digit after the decimal point. For 4.56721, the digit in the hundred - thousandths place is 1. For 7.09451, the digit in the hundred - thousandths place is 1. So the numbers with 1 in the hundred - thousandths place are 4.56721 and 7.09451.

Step4: Write place values for 4,439.08

4 thousands, 4 hundreds, 3 tens, 9 ones, 0 tenths, 8 hundredths.

Step5: Write place values for 7.87221

7 ones, 8 tenths, 7 hundredths, 2 thousandths, 2 ten - thousandths, 1 hundred - thousandths.

Step6: Write place values for 62.0976

6 tens, 2 ones, 0 tenths, 9 hundredths, 7 thousandths, 6 ten - thousandths.

Step7: Write expanded form for 567.009

$(5\times100)+(6\times10)+(7\times1)+(0\times0.1)+(0\times0.01)+(9\times0.001)$

Step8: Write expanded form for 9,123.68

$(9\times1000)+(1\times100)+(2\times10)+(3\times1)+(6\times0.1)+(8\times0.01)$

Answer:

1. 23.6614, 72.2354
2. 91.2741, 101.673
3. 4.56721, 7.09451
4. 4,439.08: 4 thousands, 4 hundreds, 3 tens, 9 ones, 0 tenths, 8 hundredths; 7.87221: 7 ones, 8 tenths, 7 hundredths, 2 thousandths, 2 ten - thousandths, 1 hundred - thousandths; 62.0976: 6 tens, 2 ones, 0 tenths, 9 hundredths, 7 thousandths, 6 ten - thousandths
5. 567.009: $(5\times100)+(6\times10)+(7\times1)+(0\times0.1)+(0\times0.01)+(9\times0.001)$; 9,123.68: $(9\times1000)+(1\times100)+(2\times10)+(3\times1)+(6\times0.1)+(8\times0.01)$