Curriculum›4B›Chapter 12

Chapter 12 — Practice 2

18 original mixed questions

Practice earlier ideas together. Check answers only after you have completed an attempt.

Question 1 · representation

Write 7/10 as a decimal and explain its tenths digit.

One whole split into ten tenths
Show answer and reasoning
0.7

7 equal tenths of the same whole are written 0.7.

Question 2 · numberline

On a number line from 2 to 3 divided into ten equal intervals, what decimal is at the 7th tick after 2?

Show answer and reasoning
2.7

Each interval is 0.1, so add 7 tenths to 2 to get 2.7.

Question 3 · representation

Write 59/100 as a two-decimal-place number.

100-square whole
Show answer and reasoning
0.59

59 hundredths are 0.59.

Question 4 · equivalent decimal

Rename 0.9 as hundredths and write the equivalent decimal to two places.

Show answer and reasoning
90/100 = 0.90

Every tenth is ten hundredths; multiply the count by ten.

Question 5 · fraction

Write 0.28 as a fraction in simplest form.

Show answer and reasoning
7/25

0.28 = 28/100. Reduce by the common factor 4 to 7/25.

Question 6 · decimal

Write 43/50 as a decimal.

Show answer and reasoning
0.86

Rename 43/50 in tenths or hundredths (or divide numerator by denominator) to get 0.86.

Question 7 · comparison

Insert <, > or =: 0.16 ___ 0.57.

Show answer and reasoning
<

Compare 16 hundredths and 57 hundredths; 0.16 is less relative to 0.57.

Question 8 · rounding

Round 1.29 to the nearest tenth.

Show answer and reasoning
1.3

Use the two neighboring nearest tenth benchmarks, identify their midpoint, and round the original number 1.29 directly.

Question 9 · representation

Write 8/10 as a decimal and explain its tenths digit.

One whole split into ten tenths
Show answer and reasoning
0.8

8 equal tenths of the same whole are written 0.8.

Question 10 · numberline

On a number line from 0 to 1 divided into ten equal intervals, what decimal is at the 5th tick after 0?

Show answer and reasoning
0.5

Each interval is 0.1, so add 5 tenths to 0 to get 0.5.

Question 11 · representation

Write 48/100 as a two-decimal-place number.

100-square whole
Show answer and reasoning
0.48

48 hundredths are 0.48.

Question 12 · equivalent decimal

Rename 0.7 as hundredths and write the equivalent decimal to two places.

Show answer and reasoning
70/100 = 0.70

Every tenth is ten hundredths; multiply the count by ten.

Question 13 · fraction

Write 0.89 as a fraction in simplest form.

Show answer and reasoning
89/100

0.89 = 89/100. Reduce by the common factor 1 to 89/100.

Question 14 · decimal

Write 2/20 as a decimal.

Show answer and reasoning
0.1

Rename 2/20 in tenths or hundredths (or divide numerator by denominator) to get 0.1.

Question 15 · comparison

Insert <, > or =: 0.13 ___ 0.90.

Show answer and reasoning
<

Compare 13 hundredths and 90 hundredths; 0.13 is less relative to 0.90.

Question 16 · rounding

Round 7.35 to the nearest tenth.

Show answer and reasoning
7.4

Use the two neighboring nearest tenth benchmarks, identify their midpoint, and round the original number 7.35 directly.

Question 17 · representation

Write 6/10 as a decimal and explain its tenths digit.

One whole split into ten tenths
Show answer and reasoning
0.6

6 equal tenths of the same whole are written 0.6.

Question 18 · numberline

On a number line from 4 to 5 divided into ten equal intervals, what decimal is at the 9th tick after 4?

Show answer and reasoning
4.9

Each interval is 0.1, so add 9 tenths to 4 to get 4.9.