Curriculum›4B›Chapter 12

Chapter 12 — Practice 1

18 original mixed questions

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

Question 1 · representation

Write 5/10 as a decimal and explain its tenths digit.

One whole split into ten tenths
Show answer and reasoning
0.5

5 equal tenths of the same whole are written 0.5.

Question 2 · numberline

On a number line from 4 to 5 divided into ten equal intervals, what decimal is at the 8th tick after 4?

Show answer and reasoning
4.8

Each interval is 0.1, so add 8 tenths to 4 to get 4.8.

Question 3 · representation

Write 28/100 as a two-decimal-place number.

100-square whole
Show answer and reasoning
0.28

28 hundredths are 0.28.

Question 4 · equivalent decimal

Rename 0.5 as hundredths and write the equivalent decimal to two places.

Show answer and reasoning
50/100 = 0.50

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

Question 5 · fraction

Write 0.67 as a fraction in simplest form.

Show answer and reasoning
67/100

0.67 = 67/100. Reduce by the common factor 1 to 67/100.

Question 6 · decimal

Write 1/20 as a decimal.

Show answer and reasoning
0.05

Rename 1/20 in tenths or hundredths (or divide numerator by denominator) to get 0.05.

Question 7 · comparison

Insert <, > or =: 0.12 ___ 0.27.

Show answer and reasoning
<

Compare 12 hundredths and 27 hundredths; 0.12 is less relative to 0.27.

Question 8 · rounding

Round 8.42 to the nearest tenth.

Show answer and reasoning
8.4

Use the two neighboring nearest tenth benchmarks, identify their midpoint, and round the original number 8.42 directly.

Question 9 · representation

Write 3/10 as a decimal and explain its tenths digit.

One whole split into ten tenths
Show answer and reasoning
0.3

3 equal tenths of the same whole are written 0.3.

Question 10 · numberline

On a number line from 4 to 5 divided into ten equal intervals, what decimal is at the 7th tick after 4?

Show answer and reasoning
4.7

Each interval is 0.1, so add 7 tenths to 4 to get 4.7.

Question 11 · representation

Write 69/100 as a two-decimal-place number.

100-square whole
Show answer and reasoning
0.69

69 hundredths are 0.69.

Question 12 · equivalent decimal

Rename 0.3 as hundredths and write the equivalent decimal to two places.

Show answer and reasoning
30/100 = 0.30

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

Question 13 · fraction

Write 0.45 as a fraction in simplest form.

Show answer and reasoning
9/20

0.45 = 45/100. Reduce by the common factor 5 to 9/20.

Question 14 · decimal

Write 2/4 as a decimal.

Show answer and reasoning
0.5

Rename 2/4 in tenths or hundredths (or divide numerator by denominator) to get 0.5.

Question 15 · comparison

Insert <, > or =: 0.50 ___ 0.68.

Show answer and reasoning
<

Compare 50 hundredths and 68 hundredths; 0.50 is less relative to 0.68.

Question 16 · rounding

Round 1.80 to the nearest whole number.

Show answer and reasoning
2

Use the two neighboring nearest whole number benchmarks, identify their midpoint, and round the original number 1.80 directly.

Question 17 · representation

Write 2/10 as a decimal and explain its tenths digit.

One whole split into ten tenths
Show answer and reasoning
0.2

2 equal tenths of the same whole are written 0.2.

Question 18 · numberline

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

Show answer and reasoning
2.2

Each interval is 0.1, so add 2 tenths to 2 to get 2.2.