6. Evaluate : 1 - (0.03 + 0.02 +0.05)
Answers
Answer:
Try to add these without reading further. Then read on!
0.2 + 0.05 = _______ 0.7 + 0.04 = _______ 0.12 + 0.5 = _______
0.2 + 0.05 = _____
What do you think? If you are at 0.2 and go five hundredths (0.05) further, where will you end up?
2
10
+
5
100
↓ ↓
20
100
+
5
100
=
25
100
0.2
+
0.05
↓ ↓
0.20
+
0.05
=
0.25
Let's write 0.2 and 0.05 as fractions. They have
different denominators (10 and 100).
Before adding, we can convert the first one into hundredth parts. Then they both have a denominator 100 and you can add easily.
When you add them as decimals (0.2 and 0.05), you can tag a zero on the end of 0.2 (two tenths), so it becomes 0.20 (twenty hundredths).
This is the same process as writing 2/10 as 20/100.
Let's check the other two problems you tried earlier. We will write them so that the addends have the same amount of decimals.
0.7
+
0.04
If you are at 0.7 and go four hundredths further,
where do you end up?
↓ ↓
0.70
+
0.04
=
______
0.12
+
0.5
If you are at 0.5 and go twelve hundredths further,
where do you end up?
↓ ↓
0.12
+
0.50
=
______
Confused about this “tagging a zero” stuff? Look below:
0 . 2 = 0 . 2 0
ones tenths ones tenths hund-
redths
0.2 has zero ones and two tenths.
0.20 has zero ones, two tenths and zero hundredths.
So both have the same amount of ones, tenths, and hundredths.
They are equal!
4. Add mentally. Before adding, tag a zero to the number with only one decimal so that the addends
will have the same amount of decimals. Write the problems using fractions also.
a. 0.10 + 0.05
=
0.15
=
10
100
+
5
100
= 15
100
b. 0.04 + 0.4
=
______
=
100
+
100
=
100
c. 0.6 + 0.09
=
______
=
100
+
100
=
100
5. Add mentally. Before adding, you can tag a zero to the number with only one decimal.
a. 0.11 + 0.5 = _______ b. 0.24 + 0.2 = _______ c. 0.3 + 0.39 = _______
d. 0.22 + 0.7 = _______ e. 0.2 + 0.41 = _______ f. 0.27 + 0.8 = _______
6. Continue the patterns.
a. 0.91
+ 0.02 = _____
+ 0.02 = _____
+ 0.02 = _____
+ 0.02 = _____
+ 0.02 = _____
+ 0.02 = _____
b. 0.80
– 0.05 = _____
– 0.05 = _____
– 0.05 = _____
– 0.05 = _____
– 0.05 = _____
– 0.05 = _____
c. 2.90
+ 0.03 = _____
+ 0.03 = _____
+ 0.03 = _____
+ 0.03 = _____
+ 0.03 = _____
+ 0.03 = _____
d. 1.77
+ 0.11 = _____
+ 0.11 = _____
+ 0.11 = _____
+ 0.11 = _____
+ 0.11 = _____
+ 0.11 = _____
7. Add enough hundredths to make the next whole tenth. Remember, 0.5 = 0.50.
a. 0.47 + _____ = 0.5
b. 0.55 + _____ = 0.6
c. 0.06 + _____ = 0.1
d. 0.32 + _____ = 0.4
e. 0.88 + _____ = ______
f. 0.97 + _____ = ______
8. Explain why the following additions are wrong.
a. 0.99 + 0.1 = 1 b. 0.43 + 0.59 = 0.102
9. Subtract from a whole number.
a. 1 – 0.6 = _____
1 – 0.67 = _____
b. 2 – 0.6 = _____
2 – 0.57 = _____
c. 4 – 0.23 = _____
4 – 0.13 = _____
Remember? 100 cm makes one meter.
Therefore, 1 cm is one-hundredth part of 1 meter.
In other words, 1 cm = 0.01 m.
5 cm = 0.05 m
64 cm = 0.64 m
2 m 12 cm = 2.12 m
10. Convert between meters and centimeters, and solve the problems.
a. 0.73 m = __________ cm
b. 2.82 m = __________ cm
c. _________ m = 9 m 80 cm
d. _________ m = 306 cm
e. A boy is 1.15 m tall and a bush is 156 cm
tall. Which is taller? How much taller?
f. A table is 2.40 m long and 0.90 m wide.
Find its perimeter in meters.
g. A door that is 90 cm wide will have a
decorative board above it. The decorative
board is now 1.25 m long. How much needs
to be cut off from the board so that it fits?
h. The height of a room is 2.25 m. How much
space is left above a person's head who is
186 cm tall?
11. Add and subtract mentally. You can tag a zero to the decimal with only tenths.
a. 0.04 + 0.1 = _______
0.14 + 0.1 = _______
b. 0.28 + 0.1 = _______
0.25 + 0.5 = _______
c. 2.04 + 0.1 = _______
3.08 + 0.6 = _______
d. 13.53 + 0.4 = _______
5.03 + 2.25 = _______
e. 0.3 + 0.05 = _______
0.03 + 0.5 = _______
f. 0.8 – 0.09 = _______
0.9 – 0.08 = _______
g. 1.3 – 0.07 = _______
1.3 – 0.7 = _______
h. 6.2 – 1.2 = _______
6.2 – 1.25 = _______
i. 2 – 0.1 = _______
3 – 0.08 = _______
Answer:
The Answer Is 0.9
Step-by-step explanation:
1 - ( 0.1 )
0.9