Educational worksheet for converting fractions to decimals, focusing on tenths and hundredths.
Worksheet titled "Fractions & Decimals" with exercises on converting tenths and hundredths to decimals, including examples and practice problems.
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Step-by-step solution for: Changing tenths and hundredths to decimals - Studyladder ...
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Show Answer Key & Explanations
Step-by-step solution for: Changing tenths and hundredths to decimals - Studyladder ...
To solve this worksheet, we need to convert fractions into decimals. The key is to look at the bottom number (the denominator).
Section 1: Changing tenths to decimals
These fractions have a denominator of 10. The rule is: if there is one zero in the denominator, put one digit after the decimal point.
* a) 2/10: The 2 goes in the tenths place -> 0.2
* b) 5/10: The 5 goes in the tenths place -> 0.5
* c) 9/10: The 9 goes in the tenths place -> 0.9
* d) 3/10: The 3 goes in the tenths place -> 0.3
* e) 6/10: The 6 goes in the tenths place -> 0.6
* f) 4/10: The 4 goes in the tenths place -> 0.4
* g) 8/10: The 8 goes in the tenths place -> 0.8
* h) 10/10: This is a whole. 10 divided by 10 is 1 -> 1.0
* i) 1/10: The 1 goes in the tenths place -> 0.1
* j) 7/10: The 7 goes in the tenths place -> 0.7
Section 2: Changing hundredths to decimals
These fractions have a denominator of 100. The rule is: if there are two zeros in the denominator, put two digits after the decimal point.
* a) 25/100: The 25 goes after the decimal -> 0.25
* b) 79/100: The 79 goes after the decimal -> 0.79
* c) 34/100: The 34 goes after the decimal -> 0.34
* d) 99/100: The 99 goes after the decimal -> 0.99
* e) 16/100: The 16 goes after the decimal -> 0.16
* f) 8/100: We need two digits. We add a zero to make it 08 -> 0.08
* g) 3/100: We need two digits. We add a zero to make it 03 -> 0.03
* h) 9/100: We need two digits. We add a zero to make it 09 -> 0.09
* i) 1/100: We need two digits. We add a zero to make it 01 -> 0.01
* j) 4/100: We need two digits. We add a zero to make it 04 -> 0.04
Section 3: Equivalent Fractions (Hundredths)
These are also fractions with a denominator of 100. We treat them just like Section 2.
* a) 20/100: The 20 goes after the decimal -> 0.20 (or 0.2)
* b) 60/100: The 60 goes after the decimal -> 0.60 (or 0.6)
* c) 90/100: The 90 goes after the decimal -> 0.90 (or 0.9)
* d) 10/100: The 10 goes after the decimal -> 0.10 (or 0.1)
* e) 40/100: The 40 goes after the decimal -> 0.40 (or 0.4)
* f) 80/100: The 80 goes after the decimal -> 0.80 (or 0.8)
* g) 100/100: This is a whole. 100 divided by 100 is 1 -> 1.0
* h) 70/100: The 70 goes after the decimal -> 0.70 (or 0.7)
* i) 30/100: The 30 goes after the decimal -> 0.30 (or 0.3)
* j) 50/100: The 50 goes after the decimal -> 0.50 (or 0.5)
* k) 26/100: The 26 goes after the decimal -> 0.26
* l) 45/100: The 45 goes after the decimal -> 0.45
* m) 98/100: The 98 goes after the decimal -> 0.98
* n) 36/100: The 36 goes after the decimal -> 0.36
* o) 77/100: The 77 goes after the decimal -> 0.77
* p) 62/100: The 62 goes after the decimal -> 0.62
* q) 85/100: The 85 goes after the decimal -> 0.85
* r) 59/100: The 59 goes after the decimal -> 0.59
* s) 83/100: The 83 goes after the decimal -> 0.83
Final Answer:
Change these fractions to decimals (Tenths):
a) 0.2, b) 0.5, c) 0.9, d) 0.3, e) 0.6, f) 0.4, g) 0.8, h) 1.0, i) 0.1, j) 0.7
Change these fractions to decimals (Hundredths):
a) 0.25, b) 0.79, c) 0.34, d) 0.99, e) 0.16, f) 0.08, g) 0.03, h) 0.09, i) 0.01, j) 0.04
Change these fractions to decimals (Equivalent Fractions):
a) 0.20, b) 0.60, c) 0.90, d) 0.10, e) 0.40, f) 0.80, g) 1.0, h) 0.70, i) 0.30, j) 0.50, k) 0.26, l) 0.45, m) 0.98, n) 0.36, o) 0.77, p) 0.62, q) 0.85, r) 0.59, s) 0.83
Section 1: Changing tenths to decimals
These fractions have a denominator of 10. The rule is: if there is one zero in the denominator, put one digit after the decimal point.
* a) 2/10: The 2 goes in the tenths place -> 0.2
* b) 5/10: The 5 goes in the tenths place -> 0.5
* c) 9/10: The 9 goes in the tenths place -> 0.9
* d) 3/10: The 3 goes in the tenths place -> 0.3
* e) 6/10: The 6 goes in the tenths place -> 0.6
* f) 4/10: The 4 goes in the tenths place -> 0.4
* g) 8/10: The 8 goes in the tenths place -> 0.8
* h) 10/10: This is a whole. 10 divided by 10 is 1 -> 1.0
* i) 1/10: The 1 goes in the tenths place -> 0.1
* j) 7/10: The 7 goes in the tenths place -> 0.7
Section 2: Changing hundredths to decimals
These fractions have a denominator of 100. The rule is: if there are two zeros in the denominator, put two digits after the decimal point.
* a) 25/100: The 25 goes after the decimal -> 0.25
* b) 79/100: The 79 goes after the decimal -> 0.79
* c) 34/100: The 34 goes after the decimal -> 0.34
* d) 99/100: The 99 goes after the decimal -> 0.99
* e) 16/100: The 16 goes after the decimal -> 0.16
* f) 8/100: We need two digits. We add a zero to make it 08 -> 0.08
* g) 3/100: We need two digits. We add a zero to make it 03 -> 0.03
* h) 9/100: We need two digits. We add a zero to make it 09 -> 0.09
* i) 1/100: We need two digits. We add a zero to make it 01 -> 0.01
* j) 4/100: We need two digits. We add a zero to make it 04 -> 0.04
Section 3: Equivalent Fractions (Hundredths)
These are also fractions with a denominator of 100. We treat them just like Section 2.
* a) 20/100: The 20 goes after the decimal -> 0.20 (or 0.2)
* b) 60/100: The 60 goes after the decimal -> 0.60 (or 0.6)
* c) 90/100: The 90 goes after the decimal -> 0.90 (or 0.9)
* d) 10/100: The 10 goes after the decimal -> 0.10 (or 0.1)
* e) 40/100: The 40 goes after the decimal -> 0.40 (or 0.4)
* f) 80/100: The 80 goes after the decimal -> 0.80 (or 0.8)
* g) 100/100: This is a whole. 100 divided by 100 is 1 -> 1.0
* h) 70/100: The 70 goes after the decimal -> 0.70 (or 0.7)
* i) 30/100: The 30 goes after the decimal -> 0.30 (or 0.3)
* j) 50/100: The 50 goes after the decimal -> 0.50 (or 0.5)
* k) 26/100: The 26 goes after the decimal -> 0.26
* l) 45/100: The 45 goes after the decimal -> 0.45
* m) 98/100: The 98 goes after the decimal -> 0.98
* n) 36/100: The 36 goes after the decimal -> 0.36
* o) 77/100: The 77 goes after the decimal -> 0.77
* p) 62/100: The 62 goes after the decimal -> 0.62
* q) 85/100: The 85 goes after the decimal -> 0.85
* r) 59/100: The 59 goes after the decimal -> 0.59
* s) 83/100: The 83 goes after the decimal -> 0.83
Final Answer:
Change these fractions to decimals (Tenths):
a) 0.2, b) 0.5, c) 0.9, d) 0.3, e) 0.6, f) 0.4, g) 0.8, h) 1.0, i) 0.1, j) 0.7
Change these fractions to decimals (Hundredths):
a) 0.25, b) 0.79, c) 0.34, d) 0.99, e) 0.16, f) 0.08, g) 0.03, h) 0.09, i) 0.01, j) 0.04
Change these fractions to decimals (Equivalent Fractions):
a) 0.20, b) 0.60, c) 0.90, d) 0.10, e) 0.40, f) 0.80, g) 1.0, h) 0.70, i) 0.30, j) 0.50, k) 0.26, l) 0.45, m) 0.98, n) 0.36, o) 0.77, p) 0.62, q) 0.85, r) 0.59, s) 0.83
Parent Tip: Review the logic above to help your child master the concept of adding tenths and hundredths worksheet.