Number_gap-2026-656

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

656

Question

Jordan knows that 24 ×\times 35 = 840.

What is 2.4 ×\times 3.5?

Worked Solution
2.4 ×\times 3.5 = 2410\dfrac{24}{10} ×\times 3510\dfrac{35}{10}
= 24×35100\dfrac{24 \times 35}{100}
= 840100\dfrac{840}{100}
= 8.4

Question Type

Answer Box

Variables

Variable nameVariable value
question
Jordan knows that 24 $\times$ 35 = 840. What is 2.4 $\times$ 3.5?
workedSolution
| | | | --------------------:| -------------------------------------------- | | 2.4 $\times$ 3.5 | \= $\dfrac{24}{10}$ $\times$ $\dfrac{35}{10}$ | | | \= $\dfrac{24 \times 35}{100}$ | | | \= $\dfrac{840}{100}$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
8.4
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer08.4

Variant 1

DifficultyLevel

657

Question

Mia knows that 56 ×\times 43 = 2408.

What is 5.6 ×\times 0.43?

Worked Solution
5.6 ×\times 0.43 = 5610\dfrac{56}{10} ×\times 43100\dfrac{43}{100}
= 56×431000\dfrac{56 \times 43}{1000}
= 24081000\dfrac{2408}{1000}
= 2.408

Question Type

Answer Box

Variables

Variable nameVariable value
question
Mia knows that 56 $\times$ 43 = 2408. What is 5.6 $\times$ 0.43?
workedSolution
| | | | --------------------:| --------------------------------------------- | | 5.6 $\times$ 0.43 | \= $\dfrac{56}{10}$ $\times$ $\dfrac{43}{100}$ | | | \= $\dfrac{56 \times 43}{1000}$ | | | \= $\dfrac{2408}{1000}$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
2.408
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer02.408

Variant 2

DifficultyLevel

658

Question

Tanya knows that 67 ×\times 49 = 3283.

What is 0.67 ×\times 0.49?

Worked Solution
0.67 ×\times 0.49 = 67100\dfrac{67}{100} ×\times 49100\dfrac{49}{100}
= 67×4910000\dfrac{67 \times 49}{10000}
= 328310000\dfrac{3283}{10000}
= 0.3283

Question Type

Answer Box

Variables

Variable nameVariable value
question
Tanya knows that 67 $\times$ 49 = 3283. What is 0.67 $\times$ 0.49?
workedSolution
| | | | ---------------------:| ------------------------------------------------ | | 0.67 $\times$ 0.49 | \= $\dfrac{67}{100}$ $\times$ $\dfrac{49}{100}$ | | | \= $\dfrac{67 \times 49}{10000}$ | | | \= $\dfrac{3283}{10000}$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
0.3283
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer00.3283

Variant 3

DifficultyLevel

659

Question

Sam knows that 78 ×\times 54 = 4212.

What is 7.8 ×\times 0.054?

Worked Solution
7.8 ×\times 0.054 = 7810\dfrac{78}{10} ×\times 541000\dfrac{54}{1000}
= 78×5410000\dfrac{78 \times 54}{10000}
= 421210000\dfrac{4212}{10000}
= 0.4212

Question Type

Answer Box

Variables

Variable nameVariable value
question
Sam knows that 78 $\times$ 54 = 4212. What is 7.8 $\times$ 0.054?
workedSolution
| | | | ----------------------:| ------------------------------------------------ | | 7.8 $\times$ 0.054 | \= $\dfrac{78}{10}$ $\times$ $\dfrac{54}{1000}$ | | | \= $\dfrac{78 \times 54}{10000}$ | | | \= $\dfrac{4212}{10000}$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
0.4212
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer00.4212

Variant 4

DifficultyLevel

660

Question

Alex knows that 93 ×\times 76 = 7068.

What is 0.093 ×\times 7.6?

Worked Solution
0.093 ×\times 7.6 = 931000\dfrac{93}{1000} ×\times 7610\dfrac{76}{10}
= 93×7610000\dfrac{93 \times 76}{10000}
= 706810000\dfrac{7068}{10000}
= 0.7068

Question Type

Answer Box

Variables

Variable nameVariable value
question
Alex knows that 93 $\times$ 76 = 7068. What is 0.093 $\times$ 7.6?
workedSolution
| | | | ----------------------:| ------------------------------------------------- | | 0.093 $\times$ 7.6 | \= $\dfrac{93}{1000}$ $\times$ $\dfrac{76}{10}$ | | | \= $\dfrac{93 \times 76}{10000}$ | | | \= $\dfrac{7068}{10000}$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
0.7068
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer00.7068

Variant 5

DifficultyLevel

661

Question

Chris knows that 84 ×\times 65 = 5460.

What is 0.084 ×\times 0.65?

Worked Solution
0.084 ×\times 0.65 = 841000\dfrac{84}{1000} ×\times 65100\dfrac{65}{100}
= 84×65100000\dfrac{84 \times 65}{100000}
= 5460100000\dfrac{5460}{100000}
= 0.05460

Question Type

Answer Box

Variables

Variable nameVariable value
question
Chris knows that 84 $\times$ 65 = 5460. What is 0.084 $\times$ 0.65?
workedSolution
| | | | ----------------------:| -------------------------------------------------- | | 0.084 $\times$ 0.65 | \= $\dfrac{84}{1000}$ $\times$ $\dfrac{65}{100}$ | | | \= $\dfrac{84 \times 65}{100000}$ | | | \= $\dfrac{5460}{100000}$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
0.05460
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer00.05460

Tags

  • staging_suejones