Is 0.50 bigger than 0.5?

No, they are equal. A zero at the end of the decimal part doesn't change the value: 5 tenths is the same as 50 hundredths.

How do decimals connect to fractions?

Every decimal is a fraction over 10, 100 or 1,000: 0.3 = 3/10, 0.25 = 25/100 = 1/4.

Grades 4–5

Decimals carry place value past the ones. Line the decimal points up and the column methods work exactly as they do for whole numbers.

The first place after the point is tenths, the next is hundredths, then thousandths. 2.35 means 2 ones, 3 tenths and 5 hundredths.

Tenths and hundredths are fractions with 10 and 100 on the bottom: 0.3 = 310 and 0.25 = 25100, which is 14.

Write 2.6 as 2.60 so the columns match. 7 + 6 tenths = 13 tenths: write 3, carry 1 into the ones.

1 4.75 +2.60 7.35

Exchange a tenth for 10 hundredths, then a one for 10 tenths, just as with whole numbers.

4 1110 5.20 −1.75 3.45

26 × 5 = 130. The question has two decimal places, so the answer does too: 1.30.

2.6 × 0.5 = 1.3

Not the right-hand edge. Fill empty places with zeros if it helps.

0.5 is more than 0.45, because 5 tenths is more than 4 tenths.

$3.07 is 3 dollars and 7 cents: 7 hundredths of a dollar.

To the nearest whole, look at the tenths digit: 6.48 rounds to 6, 6.5 rounds to 7.

The places keep going to the right of the point, each worth a tenth of the one before.

Number	Tens	Ones	Tenths	Hundredths	Thousandths
3.405		3	4	0	5
0.62		0	6	2
12.7	1	2	7
40.09	4	0	0	9

Work each one on paper first, then open the answer to check it.

Is 0.50 bigger than 0.5?: No, they are equal. A zero at the end of the decimal part doesn't change the value: 5 tenths is the same as 50 hundredths.
How do decimals connect to fractions?: Every decimal is a fraction over 10, 100 or 1,000: 0.3 = 3/10, 0.25 = 25/100 = 1/4.