Need to know for Decimal Numeration Test 1. How to model decimal numbers to the thousandths place. 7.895
100’s
10’s
1’s
10ths
100ths
1000ths
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2. How to take numbers from Standard form and put them in
Word form.
45.012= Step 1- find the decimal and cover up everything after
the decimal.
Step 2- say/write down what you see-> forty-five. The decimal is
said as “and”.
Step 3- cover up the part you already wrote down.
Step 4- say/write down what you see like it wasn’t a decimal->
twelve.
Step 5- figure out the place value of the last number-> the 2 is in
the thousandths place.
Step 6- add the place value word.
End result-> forty-five and twelve thousandths.
3.​
How to take numbers from Word form and put them in
Standard form.
seventeen and three hundred thirty-six thousandths
Step 1- find the word “and”, and cover up everything after it.
Step 2- write the numbers for the words you see. seventeen and
-> 17.
Step 3- cover up the words you wrote into numbers (seventeen
and), and the place value number at the end.
Step 4- write the number for the words you see after the
numbers you already wrote down->three hundred thirty-six
17.336.
Step 5- check that the last digit is in the proper place value. The
6 is in the thousandths, and that is correct.
4. How to take numbers from Standard form and write
them in expanded form.
25.758
Step 1- find the decimal, and look to the left, and expand this
part-> 25 is 20 + 5
Step 2- Move to the right adding the appropriate decimal for each
place value one at a time.
-> the 7 is in the tenths so -> 20 + 5 + 0.7
-> the 5 is in the hundredths so -> 20 + 5 + 0.7 + 0.05
-> the 8 is in the thousandths so -> 20 + 5 + 0.7 + 0.05 + 0.008
5. ​
How to round to the nearest ones, tenths, and
hundredths​
.
14.946
To the nearest ones​
- Step 1- underline the number in the ones
place and look at the next place value to the right, and draw the
arrow (like with whole number rounding.
1​
4​
.946 (the arrow would point at the 9)
Step 2- Cover up everything after the digit with the arrow
pointing at it.
Step 3- Write what you see down. 14.9 (fourteen and nine
tenths)
Step 4- so it would either be 14 or 15, and since the tenth is a 9
(more than 5)​
it moves up to 15​
instead of staying the same
(14).
**You will notice that you don’t write the remaining place values
down.**
To the nearest tenthsSteps are similar, but here is an example
14.​
9​
46 (the arrow would point to the 4)
Cover up everything after the underlined digit. Write down what
you see-> 14.9, so this would either be 14.9 or one more tenth
(15.0)...since the arrow digit is a 4, it would remain 14.9
To the nearest hundredthsSteps would be similar, but here is an example
14.9​
4​
6 (the arrow would point to the thousandths place (the 6)
Cover up everything after the underlined digit and write it
down-> 14.94...so this would either be 14.94 or one more
hundredth 14.95...since the arrow points at a 6, it would move up
to 14.95
6. ​
Comparing decimal numbers and writing them in order​
.
You need to look at the largest place value and then move right
(smaller place values)
Least to greatest example
14.7, 14.6, 13.9, 13.09, 14.07
would be...
13.09, 13.9, 14.07, 14.6, 14.7
You would reverse the process for Greatest to Least.