Here are the solutions to the problems on your quiz, worked out step by step.
1) 3 + 0.4 =
Think of this as 3 whole items plus 4 tenths. When you put them together, it is
3.4.
2) What is the value of the digit 4 in the number 825.4?
The digit 4 is in the first spot to the right of the decimal point. This is the "tenths" place. So, its value is
4 tenths (or 0.4).
3) 7 + 0.3 =
Just like question 1, combine 7 wholes and 3 tenths. The answer is
7.3.
4) 0.6 = \_\_\_\_\_\_ tenths
The number 0.6 literally means 6 parts out of 10. So, it is
6 tenths.
5) 3.4 + 2.3 =
Add the whole numbers first: $3 + 2 = 5$.
Then add the decimals: $0.4 + 0.3 = 0.7$.
Put them together:
5.7.
6) 0.4 + \_\_\_ = 1
You have 4 tenths. You need to reach 10 tenths (which equals 1 whole).
$10 - 4 = 6$.
So, you need
0.6.
7) 8.4 = 8 + \_\_\_
Split the number into its whole part and decimal part.
8.4 is made of 8 and 0.4.
The missing part is
0.4.
8) 12 + 0.4 =
Combine 12 wholes and 4 tenths. The answer is
12.4.
9) 7.3 = \_\_\_ + 0.3
If you take away the 0.3 from 7.3, you are left with the whole number 7.
The missing part is
7.
10) 1 ÷ 10 = \_\_\_\_\_\_ (decimal) or \_\_\_\_\_\_ (fraction)
Dividing by 10 moves the decimal one spot to the left.
Decimal:
0.1
Fraction:
1/10
11) Use the symbol >, < or = : 8.4 \_\_\_ 8.2
Look at the tenths place. 4 is bigger than 2.
So, 8.4 is greater than 8.2.
Symbol:
>
12) How many tenths make a whole?
If you cut a pizza into 10 slices (tenths), you need all
10 slices to make the whole pizza again.
13) Which is bigger: 14 tenths or 2 ones?
Convert them to the same format to compare.
14 tenths is written as 1.4.
2 ones is written as 2.0.
Since 2.0 is larger than 1.4,
2 ones is bigger.
14) 1.3 = \_\_\_\_\_\_ tenths
1 whole is equal to 10 tenths.
Plus the 3 extra tenths makes $10 + 3 = 13$.
Answer:
13 tenths.
15) What is the value of the digit 6 in the number 793.6?
The 6 is in the tenths place.
Its value is
6 tenths (or 0.6).
16) 3 + \_\_\_ = 3.7
You start with 3 and end up with 3.7. You added 7 tenths.
The missing number is
0.7.
17) Use the symbol >, < or = : 4.6 \_\_\_ 5.3
Look at the whole numbers first. 4 is smaller than 5.
So, 4.6 is less than 5.3.
Symbol:
<
18) 1 - 0.1 =
1 whole is the same as 10 tenths.
$10 \text{ tenths} - 1 \text{ tenth} = 9 \text{ tenths}$.
Answer:
0.9
19) How many tenths make 2 ones?
1 one = 10 tenths.
2 ones = $10 + 10 = 20$ tenths.
Answer:
20
20) 16 tenths =
10 tenths make 1 whole. You have 16, so you have 1 whole and 6 tenths left over.
Answer:
1.6
──────────────────────────────────────
Final Answer:
1) 3.4
2) 4 tenths (or 0.4)
3) 7.3
4) 6
5) 5.7
6) 0.6
7) 0.4
8) 12.4
9) 7
10) 0.1; 1/10
11) >
12) 10
13) 2 ones
14) 13
15) 6 tenths (or 0.6)
16) 0.7
17) <
18) 0.9
19) 20
20) 1.6
Parent Tip: Review the logic above to help your child master the concept of 4th grade math decimals worksheet.
